324a. The Fourth Dimension (2024): Fifth Lecture
31 May 1905, Berlin Rudolf Steiner |
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It is therefore half of an octahedron because it intersects half of the faces of the octahedron. It is not the case that you cut the octahedron in half. If you bring the other four faces of the octahedron to the cut, the result is also a tetrahedron, which together with the first tetrahedron has the octahedron as a common intersection. |
But this applies only to the cube. The rhombic dodecahedron, cut in half, also gives a different spatial structure. Figure 38 Now let us take the relation of the octahedron to the tetrahedron. |
For this purpose, let us take a tetrahedron, which we cut off at one vertex (Figure 38). We continue this process until the cut surfaces meet at the edges of the tetrahedron; then what remains is the indicated octahedron. |
324a. The Fourth Dimension (2024): Fifth Lecture
31 May 1905, Berlin Rudolf Steiner |
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Last time, we tried to get an idea of a four-dimensional space. To visualize it, we reduced it to a three-dimensional one. First, we started by transforming a three-dimensional space into a two-dimensional one. We used colors instead of dimensions. We formed the idea in such a way that a cube appeared in three colors along the three dimensions. Then we laid the boundaries of a cube on the plane, which resulted in six squares in different colors. Through the diversity of colors on the individual sides, we obtained the three different dimensions in two-dimensional space. We had three colors, and with that we had represented the three dimensions. We then imagined that we were passing a square cube into the third dimension, as if we were passing it through a colored fog and it reappeared on the other side. We imagined that we had pass squares, so that the square cubes move through these squares and are thereby tinged [with the color of the pass square]. This is how we tried to imagine the [three-dimensional] cube [by means of a two-dimensional color representation]. [For the one-dimensional representation of the] surfaces, we thus have two boundary colors and [for the two-dimensional representation of the] cube, three colors. [To represent a four-dimensional spatial structure in three-dimensional space, we must] then add a fourth boundary color. Now we have to imagine in the same way that a cube, which, analogous to our square, has two different colors as boundary sides, has three different colors in its boundary surfaces. And finally, each cube moves through another cube that has the corresponding fourth color. In doing so, we let it disappear into the fourth color dimension. So, according to Hinton's analogy, we let the respective boundary cubes pass through the new [fourth] color, which then reappears on the other side, emerging in their [original] own color. Now I will give you another analogy and first reduce the three dimensions back to two, so that we will then be able to reduce four dimensions to three. To do this, we have to imagine the following. The cube can be put together at its boundary surfaces from its six boundary squares; but instead of doing it in succession, as we did recently, it will now be done in a different way. I will also draw this figure (Figure 31). You see, we have now spread out the cube in two systems, each of which lies in the plane and consists of three squares. Now we have to be clear about how these different areas will lie when we actually put the cube together. I ask you to consider the following. If I now want to reassemble the cube from these six squares, I have to place the two sections on top of each other so that square 6 comes to rest on square 5. When square 5 is placed at the bottom, I have to fold up squares 1 and 2, while folding down squares 3 and 4 (Figure 32). In doing so, we get certain corresponding lines that overlap. The lines marked in the figure with the same color [here in the same line quality and in the same number of lines] will coincide. What lies here in the plane, in two-dimensional space, coincides to a certain extent when I move into three-dimensional space. The square consists of four sides, the cube of six squares, and the four-dimensional area would then have to consist of eight cubes.? We call this four-dimensional area a tessaract [after Hinton]. Now, the point is that these eight cubes cannot simply be reassembled into a cube, but that one of them should always pass through the fourth dimension in the appropriate way. If I now want to do the same with the tessaract as I just did with the cube, I have to follow the same law. The point is to find analogies of the three-dimensional to the two-dimensional and then of the four-dimensional to the three-dimensional. Just as I obtained two systems of [three squares each] here, the same thing happens with the tessaract with [two systems of four cubes each] when I fold a four-dimensional tessaract into three-dimensional space. The system of eight cubes is very ingeniously devised. This structure will then look like this (Figure 33). Each time, these four cubes in three-dimensional space are to be taken exactly as these squares in two-dimensional space. You just have to look carefully at what I have done here. When the cube was folded into two-dimensional space, a system of six squares resulted; when the corresponding procedure is carried out on the tessaract, we obtain a system of eight cubes (Figure 34). We have transferred the observation from three-dimensional space to four-dimensional space. [Folding up and joining the squares in three-dimensional space corresponds to folding up and joining the cubes in four-dimensional space.] In the case of the folded-down cube, [in the two-dimensional plane] different corresponding lines were obtained, which coincided when it was folded up again later. The same occurs with the surfaces of our individual cubes of the tessaract. [When the tessaract is folded down in three-dimensional space, corresponding surfaces appear on the corresponding cubes.] So, for example, in the case of the tessaract, the upper horizontal surface of cube 1—by observing [mediation] the fourth dimension—with the front face of cube 5. In the same way, the right face of cube 1 coincides with the front square of cube 4, and likewise the left square of cube 1 with the front square of cube 3 [as well as the lower square of cube 1 with the front square of cube 6]. The same applies to the other cube surfaces. The remaining cube, 7, is enclosed by the other six. You see that here again we are concerned with finding analogies between the third and fourth dimensions. Just as a fifth square enclosed by four squares remains invisible to the being that can only see in two dimensions, as we saw in the corresponding figure of the previous lecture (Figure 29), so it is the case here with the seventh cube: it remains hidden from the three-dimensional eye. Corresponding to this seventh cube in the tessaract is an eighth cube, which, since we have a four-dimensional body here, lies as a counterpart to the seventh in the fourth dimension. All analogies lead us to prepare for the fourth dimension. Nothing forces us to add the other dimensions to the usual dimensions [within the mere spatial view]. Following Hinton, we could also think of colors here and think of cubes put together in such a way that the corresponding colors come together. It is hardly possible in any other way [than by such analogies] to give a description of how to think of a four-dimensional entity. Now I would like to mention another way [of representing four-dimensional bodies in three-dimensional space], which may also give you a better understanding of what we are actually dealing with here. This is an octahedron bounded by eight triangles, with the sides meeting at obtuse angles (Figure 35). If you visualize this structure here, I ask you to follow the following procedure with me in your mind. You see, here one surface is always intersected by another. Here, for example, in AB, two side surfaces meet, and here in EB, two meet. The entire difference between an octahedron and a cube lies in the angle of intersection of the side surfaces. If surfaces intersect as they do in a cube [at right angles], a cube is formed. But if they intersect as they do here [obtuse], then an octahedron is formed. The point is that we can have surfaces intersect at the most diverse angles, and then we get the most diverse spatial structures." Now imagine that we could also make the same faces of the octahedron intersect in a different way. Imagine this face here, for example AEB, continued on all sides, and this lower one here, BCF, also (Figure 36). Then likewise the ADF and EDC lying backwards. Then these faces must also intersect, and in fact they intersect here in a doubly symmetrical way. If you extend these surfaces in this way, [four of the original boundary surfaces] are no longer needed: ABF, EBC and, towards the back, EAD and DCF. So of the eight surfaces, four remain. And the four that remain give this tetrahedron, which is also called half of an octahedron. It is therefore half of an octahedron because it intersects half of the faces of the octahedron. It is not the case that you cut the octahedron in half. If you bring the other four faces of the octahedron to the cut, the result is also a tetrahedron, which together with the first tetrahedron has the octahedron as a common intersection. In stereometry [geometric crystallography], it is not the part that is halved that is called the half, but the one that is created by halving the [number of] faces. With the octahedron, this is quite easy to imagine. If you imagine halving the cube in the same way, that is, if you allow one face to intersect with the corresponding other face, you will always get a cube. Half of a cube is a cube again. I would like to draw an important conclusion from this, but first I would like to use something else to help me. Here I have a rhombic dodecahedron (Figure 37). You can see that the surfaces adjoin each other at certain angles. At the same time, we can see a system of four wires, which I would like to call axial wires, and which run in opposite directions to each other [i.e. connect certain opposite corners of the rhombic dodecahedron, and are therefore diagonals]. These wires now represent a system of axes in a similar way to the way in which you imagined a system of axes on the cube. You get the cube when you create sections in a system of three perpendicular axes by introducing blockages in each of these axes. If the axes are made to intersect at other angles, a different spatial figure is obtained. The rhombic dodecahedron has axes which intersect at angles other than right angles. The cube reflects itself in half. But this applies only to the cube. The rhombic dodecahedron, cut in half, also gives a different spatial structure. Now let us take the relation of the octahedron to the tetrahedron. And I will tell you what is meant by this. This becomes clear when we gradually let the octahedron merge into the tetrahedron. For this purpose, let us take a tetrahedron, which we cut off at one vertex (Figure 38). We continue this process until the cut surfaces meet at the edges of the tetrahedron; then what remains is the indicated octahedron. In this way we obtain an eight-sided figure from a three-dimensional figure bounded by four surfaces, provided we cut off the corners at corresponding angles. What I have done here with the tetrahedron, you cannot do with the cube. The cube has very special properties, namely that it is the counterpart of three-dimensional space. Imagine the entire universe structured in such a way that it has three perpendicular axes. If you then imagine surfaces perpendicular to these three axes, you will, under all circumstances, get a cube (Figure 39). That is why, when we speak of the cube, we mean the theoretical cube, which is the counterpart of three-dimensional space. Just as the tetrahedron is the counterpart of the octahedron when I make the sides of the octahedron into certain sections, so the single cube is the counterpart of the whole of space.” If you think of the whole of space as positive, the cube is negative. The cube is the polar opposite of the whole of space. Space has in the physical cube its actually corresponding structure. Now suppose I would not limit the [three-dimensional] space by two-dimensional planes, but I would limit it in such a way that I would have it limited by six spheres [thus by three-dimensional figures]. I first define two-dimensional space by having four circles that go inside each other [i.e., two-dimensional shapes]. You can now imagine that these four circles are getting bigger and bigger [as the radius gets longer and longer and the center point moves further and further away]; then, over time, they will all merge into a straight line (Figure 40). You then get four intersecting lines, and instead of the four circles, a square. Now imagine that the circles are spheres, and that there are six of them, forming a kind of mulberry (Figure 41). If you imagine the spheres in the same way as the circles, that they get larger and larger in diameter, then these six spheres will ultimately become the boundary surfaces of a cube, just as the four circles became the boundary lines of a square. The cube has now been created from the fact that we had six spheres that have become flat. So the cube is nothing more than a special case of six interlocking spheres – just as the square is nothing more than a special case of four interlocking circles. If you are clear in your mind about how to imagine these six spheres, that they correspond to our earlier squares when brought into the plane, and if you imagine an absolutely round shape passing into a straight one, you will get the simplest spatial form. The cube can be imagined as the flattening of six spheres pushed into each other. You can say of a point on a circle that it must pass through the second dimension if it is to come to another point on the circle. But if you have made the circle so large that it forms a straight line, then every point on the circle can come to every other point on the circle through the first dimension. We are considering a square bounded by figures, each of which has two dimensions. As long as each of the four boundary figures is a circle, it is therefore two-dimensional. Each boundary figure, when it has become a straight line, is one-dimensional. Each boundary surface of a cube is formed from a three-dimensional structure in such a way that each of the six boundary spheres has one dimension removed. Such a boundary surface has therefore been created by the third dimension being reduced to two, so to speak bent back. It has therefore lost a dimension. The second dimension was created by losing the dimension of depth. One could therefore imagine that each spatial dimension was created by losing a corresponding higher dimension. Just as we obtain a three-dimensional figure with two-dimensional boundaries when we reduce three-dimensional boundary figures to two-dimensional ones, so you must conclude that when we look at three-dimensional space, we have to think of each direction as being flattened out, and indeed flattened out from an infinite circle; so that if you could progress in one direction, you would come back from the other. Thus, each [ordinary] spatial dimension has come about through the loss of the corresponding other [dimension]. In our three-dimensional space, there is a three-axis system. These are three perpendicular axes that have lost the corresponding other dimensions and have thus become flat. So you get three-dimensional space when you straighten each of the [three] axis directions. If you proceed in reverse, each spatial part could become curved again. Then the following series of thoughts would arise: If you curve the one-dimensional structure, you get a two-dimensional one; by curving the two-dimensional structure, you get a three-dimensional one. If you finally curve a three-dimensional structure, you get a four-dimensional structure, so that the four-dimensional can also be imagined as a three-dimensional structure curved on itself.* And with that, I come from the dead to the living. Through this bending, you can find the transition from the dead to the living. Four-dimensional space is so specialized [at the transition into three dimensions] that it has become flat. Death is [for human consciousness] nothing more than the bending of the three-dimensional into the four-dimensional. [For the physical body taken by itself, it is the other way around: death is a flattening of the four-dimensional into the three-dimensional.] |
324a. The Fourth Dimension (2024): Sixth Lecture
07 Jun 1905, Berlin Rudolf Steiner |
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Such a change can indeed be made, and it corresponds exactly to the change that a three-dimensional being undergoes when it passes into the fourth dimension, when it develops through time. If you cut a four-dimensional being at any point, you take away the fourth dimension, you destroy it. If you do that to a plant, you do exactly the same thing as if you were to make a cast of the plant, a plaster cast. |
324a. The Fourth Dimension (2024): Sixth Lecture
07 Jun 1905, Berlin Rudolf Steiner |
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I would like to conclude the lectures on the fourth spatial dimension today if possible, although I would like to demonstrate a complicated system in more detail today. I would have to show you many more models after Hinton; therefore, I can only refer you to the three detailed and spirited books.” Those who do not have the will to form a picture through analogies in the way we have heard it in the past lectures cannot, of course, form a picture of four-dimensional space. It involves a new way of forming thoughts. I will try to give you a true representation [parallel projection] of the tessaract. You know that in two-dimensional space we had the square, which is bounded by four sides. This is the three-dimensional cube, which is bounded by six squares (Figure 42). In four-dimensional space, we have the tessaract. A tessaract is bounded by eight cubes. The projection of a tessaract [in three-dimensional space] therefore consists of eight interlocking cubes. We have seen how the [corresponding eight] cubes can be intertwined in three-dimensional space. Today I will show you a [different] way of projecting the tessaract. You can imagine that the cube, when held up to the light, throws a shadow on the blackboard. We can mark this shadow figure with chalk (Figure 43). You see that a hexagon is obtained. Now imagine this cube transparent, and you will observe that in the hexagonal figure the three front sides of the cube and the three rear sides of the cube fall into the same plane. In order to get a projection that we can apply to the tessaract, I would ask you to imagine that the cube is standing in front of you in such a way that the front point A covers the rear point C. If you imagine the third dimension, all this would give you a hexagonal shadow again. I will draw the figure for you (Figure 44). If you imagine the cube like this, you would see the three front surfaces here; the other surfaces would be behind them. The surfaces of the cube appear foreshortened and the angles are no longer right angles. This is how you see the cube depicted so that the surfaces form a regular hexagon. Thus, we have obtained a representation of a three-dimensional cube in two-dimensional space. Since the edges are shortened and the angles are changed by the projection, we must therefore imagine the [projection of the] six boundary squares of the cube as shifted squares, as rhombi. The same story that I did with a three-dimensional cube that I projected into the plane, we want to do this procedure with a four-dimensional spatial object, which we therefore have to place in three-dimensional space. We must therefore bring the structure composed of eight cubes, the tessaract, into the third dimension [by parallel projection]. With the cube, we obtained three visible and three invisible edges, all of which enter into the space and in reality do not lie within the [projection] surface. Now imagine a cube shifted in such a way that it becomes a rhombicuboctahedron.” Take eight of these figures, and you have the possibility of combining the eight [boundary] cubes of the tessaract in such a way that, when pushed together, they form the eight (doubly covered) rhombicuboctahedra of this spatial figure (Figure 45). Now you have one more axis here [than in the three-dimensional cube]. Accordingly, a four-dimensional spatial structure naturally has four axes. So if we push it together, four axes still remain. There are eight [pushed together] cubes in this projection, which are represented as rhombicuboctahedra. The rhombicuboctahedron is a [symmetrical] image or silhouette of the tessaract in three-dimensional space. We arrived at this relationship by means of an analogy, but it is completely correct: just as we obtained a projection of the cube onto a plane, it is also possible to represent the tessaract in three-dimensional space by means of a projection. It behaves in the same way as the silhouette of the cube in relation to the cube itself. I think that is quite easy to understand. Now I would like to tie in with the greatest image that has ever been given for this, namely Plato and Schopenhauer and the parable of the cave. Plato says: Imagine people sitting in a cave, and they are all tied up so that they cannot turn their heads and can only look at the opposite wall. Behind them are people carrying various objects past them. These people and these objects are three-dimensional. So all these [bound] people stare at the wall and see only what is cast as a shadow [of the objects] on the wall. So they would see everything in the room only as a shadow on the opposite wall as two-dimensional images. Plato says that this is how it is in the world in general. In truth, people are sitting in the cave. Now, people themselves and everything else are four-dimensional; but what people see of it are only images in three-dimensional space. This is how all the things we see present themselves. According to Plato, we are dependent on seeing not the real things, but the three-dimensional silhouettes. I only see my hand as a silhouette; in reality it is four-dimensional, and everything that people see of it is just as much an image of it as what I just showed you as an image of the Tessaract. Thus Plato was already trying to make clear that the objects we know are actually four-dimensional, and that we only see silhouettes of them in three-dimensional space. And that is not entirely arbitrary. I will give you the reasons for this in a moment. Of course, anyone can say from the outset that this is mere speculation. How can we even imagine that the things that appear on the wall have a reality? Imagine that you are sitting here in a row, and you are sitting very still. Now imagine that the things on the wall suddenly start to move. You will not be able to tell yourself that the images on the wall can move without going out of the second dimension. If something moves there, it indicates that something must have happened outside the wall, on the real object, for it to move at all. That's what you tell yourself. If you imagine that the objects in three-dimensional space can pass each other, this would not be possible with their two-dimensional silhouettes, if you think of them as substantial, that is, impenetrable. If those images, conceived substantially, wanted to move past each other, they would have to go out of the second dimension. As long as everything on the wall is at rest, I have no reason to conclude that something is happening outside the wall, outside the space of the two-dimensional silhouettes. But the moment history begins to move, I must investigate the source of the motion. And you realize that the change can only come from motion outside the wall, only from motion within a third dimension. The change has thus told us that there is a third dimension in addition to the second. What is a mere image also has a certain reality, possesses very definite properties, but differs essentially from the real object. You will not be able to deny that the mirror image is also a mere image. You see yourself in the mirror, and you are also there. If there is not a third [that is, an active being] there, then you could not actually know what you are. But the mirror image makes the same movements that the original makes; the image is dependent on the real object, the being; it itself has no ability [to move]. Thus, a distinction can be made between image and being in that only a being can bring about movement and change out of itself. I realize from the shadows on the wall that they cannot move themselves, so they cannot be beings. I have to go out of them if I want to get to the beings. Now apply this to the world in general. The world is three-dimensional. Take this three-dimensional world for itself, as it is; grasp it completely in your thoughts [for yourself], and you will find that it remains rigid. It remains three-dimensional even if you suddenly think the world frozen at a certain point in time. But there is no one and the same world in two points in time. The world is completely different at successive points in time. Imagine that these points in time cease to exist, so that what is there remains. Without time, no change would occur in the world. The world would remain three-dimensional even if it underwent no change at all. The pictures on the wall also remain two-dimensional. But change suggests a third dimension. The fact that the world is constantly changing, and that it remains three-dimensional even without change, suggests that we have to look for the change in a fourth dimension. We have to look for the reason, the cause of the change, the activity outside the third dimension, and with that you have initially uncovered the fourth of the dimensions. But with that you also have the justification for Plato's image. So we understand the whole three-dimensional world as the shadow projection of a four-dimensional world. The only question is how we have to take this fourth dimension [in reality]. You see, we have the one idea to make it clear to ourselves, of course, that it is impossible for the fourth dimension to fall [directly] into the third. That is not possible. The fourth dimension cannot fall into the third. I would like to show you now how one can, so to speak, get an idea of how to go beyond the third dimension. Imagine we have a circle – I have already tried to evoke a similar idea recently – if you imagine this circle getting bigger and bigger, then a piece of this circle becomes flatter and flatter, and because the diameter of the circle becomes very large at the end, the circle finally turns into a straight line. The line has one dimension, but the circle has two dimensions. How do you get a second dimension from a single dimension? By curving a straight line, you get a circle again. If you now imagine the surface of the circle curving into space, you first get a shell, and if you continue to do this, you get a sphere. Thus a line acquires a second dimension by curvature and a surface acquires a third dimension by curvature. If you could now curve a cube, it would have to be curved into the fourth dimension, and you would have the [spherical] tessaract. You can understand the sphere as a curved two-dimensional spatial structure. The sphere that occurs in nature is the cell, the smallest living thing. The cell is limited spherically. That is the difference between the living and the lifeless. The mineral always occurs as a crystal bounded by flat surfaces; life is bounded by spherical surfaces, built up of cells. That means that just as a crystal is built from spheres that have been straightened out, that is, from planes, so life is built from cells, that is, from spheres that have been bent together. The difference between the living and the dead lies in the way they are defined. The octahedron is defined by eight triangles. If we imagine the eight sides as spheres, we would get an eight-limbed living thing. If you curve the three-dimensional structure, the cube, again, you get a four-dimensional structure, the spherical tessaract. But if you curve the whole space, you get something that relates to three-dimensional space in the same way that a sphere relates to a plane. Just as the cube, as a three-dimensional structure, is bounded by planes, so every crystal is bounded by planes. The essence of a crystal is the assembly of [flat] boundary planes. The essence of the living is the assembly of curved surfaces, of cells. The assembly of something even higher would be a structure whose individual boundaries would be four-dimensional. A three-dimensional structure is bounded by two-dimensional structures. A four-dimensional being, that is, a living being, is bounded by three-dimensional beings, by spheres and cells. A five-dimensional being is itself bounded by four-dimensional beings, by spherical tessaracts. From this you can see that we have to ascend from three-dimensional to four-dimensional, and then to five-dimensional beings. We only have to ask ourselves: What must occur in a being that is four-dimensional?* A change must occur within the third dimension. In other words: If you hang pictures on the wall here, they are two-dimensional and generally remain static. But if you have pictures in which the second dimension moves and changes, then you must conclude that the cause of this movement can only lie outside the surface of the wall, that the third dimension of space thus indicates the change. If you find changes within the third spatial dimension itself, then you must conclude that a fourth dimension is involved, and this brings us to the beings that undergo a change within their three spatial dimensions. It is not true that we have fully recognized a plant if we have only recognized it in its three dimensions. A plant is constantly changing, and this change is an essential, a higher characteristic of it. The cube remains; it only changes its shape when you smash it. A plant changes its shape itself, that is, there is something that is the cause of this change and that lies outside the third dimension and is an expression of the fourth dimension. What is that? You see, if you have this cube and draw it, you would labor in vain if you wanted to draw it differently at different moments; it will always remain the same. If you draw the plant and compare the picture with your model after three weeks, it will have changed. So this analogy is completely accurate. Everything that lives points to something higher, where it has its true essence, and the expression of this higher is time. Time is the symptomatic expression, the appearance of liveliness [understood as the fourth dimension] in the three dimensions of physical space. In other words, all beings for whom time has an inner meaning are images of four-dimensional beings. This cube is still the same after three or six years. The lily bud changes. Because for it, time has a real meaning. Therefore, what we see in the lily is only the three-dimensional image of the four-dimensional lily being. So time is an image, a projection of the fourth dimension, the organic liveliness, into the three spatial dimensions of the physical world. To understand how a following dimension relates to the preceding one, please imagine the following: a cube has three dimensions; when you visualize the third, you have to remember that it is perpendicular to the second, and the second is perpendicular to the first. The three dimensions are characterized by the fact that they are perpendicular to one another. But we can also imagine how the third dimension arises from the following [fourth dimension]. Imagine that you would change the cube by coloring the boundary surfaces and then changing these colors [in a certain way, as in Hinton's example]. Such a change can indeed be made, and it corresponds exactly to the change that a three-dimensional being undergoes when it passes into the fourth dimension, when it develops through time. If you cut a four-dimensional being at any point, you take away the fourth dimension, you destroy it. If you do that to a plant, you do exactly the same thing as if you were to make a cast of the plant, a plaster cast. You have captured that by destroying the fourth dimension, time. Then you get a three-dimensional object. If for any three-dimensional being the fourth dimension, time, has an essential significance, then it is a living being. Now we enter the fifth dimension. You can say to yourself that you must again have a boundary that is perpendicular to the fourth dimension. We have seen that the fourth dimension is related to the third dimension in a similar way to the third dimension being related to the second. It is not immediately possible to visualize the fifth dimension in this way. But you can again create a rough idea by using an analogy. How does a dimension come into being in the first place? If you simply draw a line, you will never create another dimension by simply pushing the line in one direction. Only by imagining that you have two opposing directions of force, which then accumulate at a point, only by expressing the accumulation, do you have a new dimension. We must therefore be able to grasp the new dimension as a new line of accumulation [of two currents of force], and imagine the one dimension coming from the right one time and from the left the next, as positive and negative. So I understand a dimension [as a polar [stream of forces] within itself], so that it has a positive and a negative dimension [component], and the neutralization [of these polar force components] is the new dimension. From there, we want to create an idea of the fifth dimension. We will have to imagine that the fourth dimension, which we have found expressed as time, behaves in a positive and negative way. Now take two beings for whom time has a meaning, and imagine two such beings colliding with each other. Then something must appear as a result, similar to what we have previously called an accumulation of [opposing] forces; and what arises as a result when two four-dimensional beings come into relation with each other is their fifth dimension. This fifth dimension arises as a result, as a consequence of an exchange [a neutralization of polar force effects], in that two living beings, through their mutual interaction, produce something that they do not have outside [in the three ordinary spatial dimensions together], nor do they have in [the fourth dimension,] time, but have completely outside these [previously discussed dimensions or] boundaries. This is what we call compassion [or feeling], by which one being knows another, thus the realization of the [spiritual and mental] inner being of another being. A being could never know anything about another being outside of time [and space] if you did not add a higher, fifth dimension, [i.e. enter the world of] sensation. Of course, here the sensation is only to be understood as a projection, as an expression [of the fifth dimension] in the physical world. Developing the sixth dimension in the same way would be too difficult, so I will only indicate it. [If we tried to progress in this way, something could be developed as an expression of the sixth dimension that,] when placed in the three-dimensional physical world, is self-conscious. Man, as a three-dimensional being, is one who shares his imagery with other three-dimensional beings. The plant, in addition, has the fourth dimension. For this reason, you will never find the ultimate essence of the plant within the three dimensions of space, but you would have to ascend from the plant to a fourth spatial dimension [to the astral sphere]. But if you wanted to grasp a being that has feeling, you would have to ascend to the fifth dimension [to the lower Devachan, to the Rupa sphere]; and if you wanted to grasp a being that has self-awareness, a human being, you would have to ascend to the sixth dimension [to the upper Devachan, to the Arupa sphere]. Thus, the human being as he stands before us in the present is indeed a six-dimensional being. That which is called feeling or compassion, or self-awareness, is a projection of the fifth or sixth dimension into ordinary three-dimensional space. Man extends into these spiritual spheres, albeit unconsciously for the most part; only there can he actually be experienced in the sense indicated last. This six-dimensional being can only come to an idea of even the higher worlds if it tries to get rid of the actual characteristics of the lower dimensions. I can only hint at the reason why man considers the world to be only three-dimensional, namely because he is conditioned in his perception to see only a reflection of something higher in the world. When you look in a mirror, you also see only a reflection of yourself. Thus, the three dimensions of our physical space are indeed reflections, material copies of three higher, causally creative dimensions. Our material world therefore has its polar [spiritual] counter-image in the group of the three next higher dimensions, that is, in those of the fourth, fifth and sixth dimensions. And in a similar sense, the spiritual worlds that lie beyond this group of dimensions, which can only be sensed, are also polar to those of the fourth to sixth dimensions. If you have water and you let the water freeze, the same substance is present in both cases; but in form they differ quite substantially. You can imagine a similar process for the three higher dimensions of man. If you think of man as a purely spiritual being, then you have to think of him as having only the three higher dimensions – self-awareness, feeling and time – and these three dimensions are reflected in the physical world in its three ordinary dimensions. The yogi [secret student], if he wants to advance to a knowledge of the higher worlds, must gradually replace the mirror images with reality. For example, when he looks at a plant, he must get used to gradually substituting the higher dimensions for the lower ones. If he looks at a plant and is able to abstract from one spatial dimension in the case of a plant, to abstract from one spatial dimension and instead to imagine a corresponding one of the higher dimensions, in this case time, then he actually gets an idea of what a two-dimensional, moving being is. To make this being more than just an image, to make it correspond to reality, the yogi must do the following. If he disregards the third dimension and adds the fourth, he would only get something imaginary. However, the following mental image can help: when we make a cinematographic representation of a living being, we remove the third dimension from the original three-dimensional processes, but add the [dimension of] time through the sequence of images. If we then add sensation to this [moving] perception, we perform a procedure similar to what I described earlier as the bending of a three-dimensional structure into the fourth dimension. Through this process you then get a four-dimensional entity, but now one that has two of our spatial dimensions, but also two higher ones, namely time and sensation. Such beings do indeed exist, and these beings - and this brings me to a real conclusion to the whole consideration - I would like to tell you about. Imagine two spatial dimensions, that is, a surface, and this surface endowed with motion. Now imagine a bent as a sensation, a sentient being that then pushes a two-dimensional surface in front of it. Such a being must act differently and be very different from a three-dimensional being in our space. This flat creature that we have constructed in this way is incomplete in one direction, completely open, and offers you a two-dimensional view; you cannot go around it, it comes towards you. This is a luminous creature, and the luminous creature is nothing other than the incompleteness in one direction. Through such a being, the initiates then get to know other beings, which they describe as divine messengers approaching them in flames of fire. The description of Mount Sinai, where Moses received the Ten Commandments,® means nothing other than that a being could indeed approach him that, to his perception, had these dimensions. It appeared to him like a human being from whom the third spatial dimension had been removed; it appeared in sensation and in time. These abstract images in the religious documents are not just external symbols, but powerful realities that man can get to know if he is able to appropriate what we have tried to make clear through analogies. The more you devote yourself diligently and energetically to such considerations of analogies, the more you really work on your mind, and the more these [considerations] work in us and trigger higher abilities. [This is roughly the case when dealing with] the analogy of the relationship of the cube to the hexagon and the tessaract to the rhombic dodecahedron. The latter represents a projection of the tessaract into the three-dimensional physical world. If you visualize these figures as living entities, if you allow the cube to grow out of the projection of the die – the hexagon – and likewise allow the tessaract itself to arise from the projection of the tessaract [the rhombic dodecahedron], then you create the possibility and the ability in your lower mental body to grasp what I have just described to you as a structure. And if, in other words, you have not only followed me but have gone through this procedure vividly, as the yogi does in an awakened state of consciousness, then you will notice that something will occur to you in your dreams that in reality is a four-dimensional entity, and then it is not much further to bring it over into the waking consciousness, and you can then see the fourth dimension in every four-dimensional being. The astral sphere is the fourth dimension. Devachan to rupa is the fifth dimension. Devachan to arupa is the sixth dimension. These three worlds, the physical, astral and celestial [devachan], comprise six dimensions. The even higher worlds are completely polar to these. Mineral Plant Animal Human Arupa Self-consciousness Rupa Sensation Self-consciousness Astral plane Life Sensation Self-consciousness Physical form Life Sensation Self-plan consciousness Form Life Sensation Form Life Form |
324a. The Fourth Dimension (2024): Four-Dimensional Space
07 Nov 1905, Berlin Rudolf Steiner |
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I pin the paper tape together tightly with pins and cut it in half. Now one tape is firmly stuck inside the other. Before that, it was just one tape. So here, by merely intertwining the tapes within the three dimensions, I have created the same thing that I would otherwise have to reach out into the [fourth] dimension to achieve." |
324a. The Fourth Dimension (2024): Four-Dimensional Space
07 Nov 1905, Berlin Rudolf Steiner |
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Our ordinary space has three dimensions: length, width and height. A line extends in one dimension, it has only length. A table is a surface, so it has two dimensions: length and width. A body extends in three dimensions. How does a body of three dimensions come about? Imagine a shape that has no dimensionality at all: that is the point. It has zero dimensions. When a point moves in one direction, a straight line is created, a one-dimensional shape. If you imagine the line continuing, a surface with length and width is created. Finally, if you imagine the surface moving, it describes a three-dimensional shape. But we cannot use the same method to create a fourth dimension from a three-dimensional object [through movement]. We must try to visualize how we can arrive at the concept of a fourth dimension. [Certain] mathematicians [and natural scientists] have felt compelled to harmonize the spiritual world with our sensual world [by placing the spiritual world in a four-dimensional space], for example, Zöllner. Imagine a circle. It is closed on all sides in the plane. If someone demands that a coin should come into the circle from outside, we have to cross the circle line (Figure 46). But if you do not want to touch the circle line, you have to lift the coin [into the space] and then put it in. You must necessarily go from the second to the third dimension. If we wanted to conjure a coin into a cube [or into a sphere], we would have to go [out of the third dimension and] through the fourth dimension.' In this life, the first time I began to grasp what space actually is was when I started to study recent [synthetic projective] geometry. Then I realized what it means to go from a circle to a line (Figure 47). In the most intimate thinking of the soul, the world opens up. Now let us imagine a circle. If we follow the circle line, we can walk around it and return to the original point. Now let us imagine the circle getting bigger and bigger [holding a tangent line]. In the end, it must merge into a straight line because it flattens out more and more. [When I go through the enlarging circles, I always go down on one side and then come up on the other side and back to the starting point. If I finally move on the straight line, for example to the right into infinity, I have to return from the other side of infinity, since the straight line behaves like a circle in terms of the arrangement of its points. From this we see that space has no end [in the same sense that the straight line has no end, that is, the arrangement of its points is the same as in a closed circle. Accordingly, we must think of infinitely extended space as closed in itself, just as the surface of a sphere is closed in itself]. Thus you have represented infinite space [in the sense of] a circle [or] a sphere. This concept leads us to imagine space in its reality. If I now imagine that I do not simply disappear [into infinity] and then return [unchanged from the other side], but think to myself that I have a radiating light, this will become weaker and weaker as I move away (seen from a stationary point on the line) and stronger and stronger when I return (with the light from infinity). And if we consider that this light not only has a positive effect, but, as it approaches from the other side here, shines all the more strongly, then you have [here the qualities] positive and negative. In all natural effects, you will find these two poles, which represent nothing other than the opposite effects of space. From this you get the idea that space is something powerful, and that the forces that work in it are nothing other than the outflow of the power itself. Then we will have no doubt that within our three-dimensional space there could be a force that works from within. You will realize that everything that occurs in space is based on real relationships in space. If we were to intertwine two dimensions, we would have brought these two into relation. If you want to entwine two [closed] rings, you have to unravel one of them to get the other inside. But now I will demonstrate the inner diversity of space by entwining this structure [a rectangular paper band] twice around itself [that is, holding one end and twisting the other end 360° and then holding the two ends together]. I pin the paper tape together tightly with pins and cut it in half. Now one tape is firmly stuck inside the other. Before that, it was just one tape. So here, by merely intertwining the tapes within the three dimensions, I have created the same thing that I would otherwise have to reach out into the [fourth] dimension to achieve." This is not a gimmick, but reality. If we have the sun here, and the earth's orbit around the sun here, and the moon's orbit around the earth here (Figure 48), we have to imagine that the earth moves around the sun and therefore the moon's orbit and the earth's orbit are intertwined exactly [like our two paper ribbons]. Now the moon has branched off from the earth [in the course of the earth's development]. This is an internal bifurcation that has occurred in the same way [as the intertwining of our two paper ribbons]. [Through such a way of looking at it] space comes alive in itself. Now consider a square. Imagine it moving through space in such a way that it forms a cube. Then it must progress within itself. A cube is composed of six squares, which together form the surface of the cube. To put the cube together [in a clear way], I first place the six squares next to each other [in a plane] (Figure 49). I get the cube again when I put these squares on top of each other. I then have to place the sixth on top by going through the third dimension. Thus I have now laid the cube out in two dimensions. I have transformed a three-dimensional structure by laying it out in two dimensions. Now imagine that the boundaries of a cube are squares. If I have a three-dimensional cube here, it is bounded by two-dimensional squares. Let's just take a single square. It is two-dimensional and is bounded by four one-dimensional lines. I can expand the four lines into a single dimension (Figure 50). What appears in the one dimension, I will now paint in red [solid line] and the other dimension in blue [dotted line]. Now, instead of saying length and width, I can speak of the red and blue dimensions. I can reassemble the cube from six squares. So now I go from the number four [the number of side lines of the square] to the number six [the number of the side surfaces of the cube]. If I go one step further, I get from the number six [the number of the side surfaces of the cube] to the number eight [the number of “side cubes” of a four-dimensional structure]. I now arrange the eight cubes in such a way that the corresponding structure is created in three-dimensional space to that which was previously constructed in two-dimensional space (Figure 51) from six squares. Imagine that I could turn this structure inside out so that I could turn it right way up and put it together in such a way that I could cover the whole structure with the eighth cube. Then I would get a four-dimensional structure in a four-dimensional space from the eight cubes. This figure is called [by Hinton] the tessaract. Its limiting figure is eight cubes, just as the ordinary cube has six squares as its limiting figure. The [four-dimensional] tessaract is therefore bounded by [eight] three-dimensional cubes. Imagine a creature that can only see in two dimensions, and this creature would now look at the squares laid out separately, it would only see the squares 1, 2, 3, 4 and 6, but never the hatched square 5 in the middle (Figure 52). It is quite the same for you with the four-dimensional structure. [Since you can only see three-dimensional objects, you] cannot see the hidden cube in the middle. Now imagine the cube drawn on the board like this [so that the outline forms a regular hexagon]. The other side is hidden behind it. This is a kind of silhouette, a projection of the cube into two-dimensional space (Figure 53). This two-dimensional silhouette of a three-dimensional cube consists of rhombi, oblique rectangles [parallelograms]. If you imagine the cube made of wire, you would also be able to see the rhomboid squares at the back. So here you have six interlocking rhomboid squares in the projection. In this way you can project the whole cube into two-dimensional space. Now imagine our tetrahedron formed in four-dimensional space. If you project this figure into three-dimensional space, you should get four non-intersecting rhombic parallelpipeds. One of these rhombic parallelpipeds should be drawn as follows (Figure 54). Eight such shifted rhombic cubes would have to be inserted into each other in order to obtain a three-dimensional image of the four-dimensional tessaract in three-dimensional space. Thus, we can represent the three-dimensional shadow image of such a tessaract with the help of eight rhombic cubes that are suitably inserted into each other. The spatial structure that results is a rhombic dodecahedron with four spatial diagonals (Figure 55). Just as in the rhombus representation of the cube, three directly neighboring rhombuses are shifted into each other, so that only three of the six cube surfaces are seen in the projection, only four non-intersecting rhombic cubes appear in the rhombic dodecahedron only four non-intersecting rhombic cubes appear as projections of the eight boundary cubes, since four of the directly neighboring rhombic cubes completely cover the remaining four.'> We can construct the three-dimensional shadow of a four-dimensional body, but not the tessaract itself. In the same sense, we are the shadows of four-dimensional beings. Thus, as man rises from the physical to the astral, he must develop his powers of visualization. Let us imagine a two-dimensional being who makes an [intense and repeated] effort to vividly imagine such a [three-dimensional] shadow image. When it then surrenders to the dream, then (...). When you mentally build up the relationship between the third and fourth dimensions, the forces at work within you allow you to see into [real, not mathematical] four-dimensional space. We will always be powerless in the higher world if we do not acquire the abilities [to see in the higher world] here [in the world of ordinary consciousness]. Just as a person in the womb develops eyes to see in the physical-sensual world, so must a person in the womb of the earth develop [supernatural] organs, then he will be born in the higher world [as a seer]. The development of the eyes in the womb is an [illuminating] example [of this process]. The cube would have to be constructed from the dimensions of length, width and height. The tessaract would have to be constructed from the dimensions of length, width, height and a fourth dimension. As the plant grows, it breaks through three-dimensional space. Every being that lives in time breaks through the three [ordinary] dimensions. Time is the fourth dimension. It is invisibly contained in the three dimensions of ordinary space. However, you can only perceive it through clairvoyant power. A moving point creates a line; when a line moves, a surface is created; and when a surface moves, a three-dimensional body is created. If we now let the three-dimensional space move, we have growth [and development]. This gives you four-dimensional space, time [projected into three-dimensional space as movement, growth, development]. [The geometric consideration of the structure of the three ordinary dimensions] can be found in real life. Time is perpendicular to the three dimensions, it is the fourth, and it grows. When you bring time to life within you, sensation arises. If you increase the time within you, move it within yourself, you have the sentient animal being, which in truth has five dimensions. The human being actually has six dimensions. We have four dimensions in the etheric realm [astral plane], five dimensions in the astral realm [lower devachan] and six dimensions in the [upper] devachan. Thus the [spiritual] manifoldness swells up to you. The devachan, as a shadow cast into the astral realm, gives us the astral body; the astral realm, as a shadow cast into the etheric realm, gives us the etheric body, and so on. Time flows in one direction, which is the withering away of nature, and in the other direction it is the revival. The two points where they merge are birth and death. The future is constantly coming towards us. If life only went in one direction, nothing new would ever come into being. Man also has genius – that is his future, his intuitions, which flow towards him. The processed past is [the stream coming from the other side; it determines] the essence [of how it has become so far]. |
324a. The Fourth Dimension (2024): On Higher-Dimensional Space
22 Oct 1908, Berlin Rudolf Steiner |
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Those who are not capable of very sharp abstractions will already falter here. For example, you cannot cut the boundaries of a wax cube as a fine layer of wax. You would still get a layer of a certain thickness, so you would get a body. |
324a. The Fourth Dimension (2024): On Higher-Dimensional Space
22 Oct 1908, Berlin Rudolf Steiner |
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The subject we are to discuss today will present us with a number of difficulties. Consider the lecture as an episode; it is being held at your request. If you only want to grasp the subject formally in its depth, some mathematical knowledge is necessary. But if you want to grasp it in its reality, you have to penetrate very deeply into occultism. So today we can only talk about it very superficially, only give a suggestion for this or that. It is very difficult to talk about multidimensionality at all, because if you want to get an idea of what more than three dimensions are, you have to delve into abstract areas, and there the concepts must be very precisely and strictly defined, otherwise you end up in a bottomless pit. And that's where many friends and enemies have ended up. The concept of multidimensional space is not as foreign to the world of mathematicians as one might think.® In mathematical circles, there is already a way of calculating with a multidimensional type of calculation. Of course, the mathematician can only speak of this space in a very limited sense; he can only discuss the possibility. Whether it really is can only be determined by someone who can see into a multidimensional space. Here we are already dealing with a lot of concepts that, if we grasp them precisely, really provide us with clarity about the concept of space. What is space? We usually say: there is space around me, I walk around in space — and so on. If you want a clearer idea, you have to go into some abstractions. We call the space in which we move three-dimensional. It has an extension in height and depth, to the right and left, to the front and back, it has length, width and height. When we look at bodies, these bodies are extended for us in this three-dimensional space; they have a certain length, a certain width and height for us. However, we have to deal with the details of the concept of space if we want to arrive at a more precise concept. Let us look at the simplest body, the cube. It shows us most clearly what length, width and height are. We find a base of the cube that is the same in length and width. If we move the base up, just as far as the base is wide and long, we get the cube, which is therefore a three-dimensional object. The cube is the clearest way for us to learn about the details of a three-dimensional object. We examine the boundaries of the cube. These are formed everywhere by surfaces bounded by sides of equal length. There are six such surfaces. What is a surface? Those who are not capable of very sharp abstractions will already falter here. For example, you cannot cut the boundaries of a wax cube as a fine layer of wax. You would still get a layer of a certain thickness, so you would get a body. We will never get to the boundary of the cube this way. The real boundary has only length and width, no height. Thickness is eliminated. We thus arrive at the formulaic sentence: The area is the boundary [of a three-dimensional object] in which one dimension is eliminated. What then is the boundary of a surface, for example of a square? Here we must again take the most extreme abstraction. [The boundary of a surface] is a line that has only one dimension, length. The width is canceled. What is the boundary of a line? It is the point, which has no dimension at all. So you always get the boundary of a thing by leaving out a dimension. So you could say to yourself, and this is also the line of thought that many mathematicians have followed, especially Riemann,* who has achieved the most solid work here: We take the point, which has none, the line, which has one, the plane, which has two, the solid, which has three dimensions. Now mathematicians asked themselves: Could it not be that formally one could say that one could add a fourth dimension? Then the [three-dimensional] body would have to be the boundary of the four-dimensional object, just as the surface is the boundary of the body, the line is the boundary of the surface, and the point is the boundary of the line. Of course, the mathematician then goes even further to five-, six- and seven-dimensional objects and so on. We have [even arbitrary] “-dimensional objects [where ” is a positive integer]. Now, there is already some ambiguity in the matter when we say: the point has none, the line has one, the plane two, the solid three dimensions. We can now make such a solid, for example a cube, out of wax, silver, gold and so on. They are different in terms of matter. We make them the same size, then they all occupy the same space. If we now eliminate all material, only a certain part of space remains, which is the spatial image of the body. These parts of space are the same [among themselves], regardless of what material the cube was made of. These parts of space also have length, width and height. We can now imagine these cubes as infinitely extended and thus arrive at an infinitely extended three-dimensional space. The (material) body is, after all, only a part of it. The question now is whether we can simply extend such conceptual considerations, which we make starting from space, to higher realities. In these considerations, the mathematician actually only calculates, and does so with numbers. Now the question is whether one can do that at all. I will show you how much confusion can arise when calculating with spatial quantities. Why? I only need to tell you one thing: Imagine you have a square figure here. I can make this figure, this area, wider and wider on both sides and thus arrive at an area that extends indefinitely between two lines (Figure 56). This area is infinitely large, so it is >. Now imagine someone who hears that the area between these two lines is infinite. Of course, he thinks of infinity. If you now talk to him about infinity, he may have very wrong ideas about it. Imagine that I now add below [each square one more, so another row of] an infinite number of squares, and I get a [different] infinity that is exactly twice as large as the first (Figure 57). So we have > = 2 + 0, In the same way I could get: “ = 3 +, In calculating with numbers, you can just as well use infinity as finiteness. Just as it is true that space was already infinite in the first case, it is just as true that it is 2 + c, 3 - c, and so on. So we are calculating numerically here. We see that the concept of the infinity of space [which follows from the numerical representation] does not give us any possibility of penetrating deeper [into the higher realities]. Numbers actually have no relation to space at all, they relate to it quite neutrally, like peas or any other objects. You now know that nothing changes in reality as a result of calculation. If someone has three peas, multiplication does not change that, even if the calculation is done correctly. The calculation 3 + 3 = 9 does not give nine peas. A mere consideration does not change anything here, and calculation is a mere consideration. Just as three peas are left behind, [you do not actually create nine peas,] even if you multiply correctly, three-dimensional space must also be left behind if the mathematician also calculates: two-, three-, four-, five-dimensional space. You will feel that there is something very convincing about such a mathematical consideration. But this consideration only proves that the mathematician could indeed calculate with such a multidimensional space; [but whether a multidimensional space actually exists, that is,] he cannot determine anything about the validity of such a concept [for reality]. Let us be clear about that here in all strictness. Now we want to consider some other considerations that have been made very astutely by mathematicians, one might say. We humans think, hear, feel and so on in three-dimensional space. Let us imagine that there are beings that could only perceive in two-dimensional space, that would be organized so that they always have to remain in the plane, that they could not get out of the second dimension. Such beings are quite conceivable: they can only move [and perceive] to the right and left [and backwards and forwards] and have no idea of what is above and below. Now it could be the same for man in his three-dimensional space. He could only be organized for the three dimensions, so that he could not perceive the fourth dimension, but for him it arises just as the third arises for the others. Now mathematicians say that it is quite possible to think of man as such a being. But now one could say that this is also only one interpretation. One could certainly say that. But here one must again proceed somewhat more precisely. The matter is not as simple as in the first case [with the numerical determination of the infinity of space]. I am intentionally only giving very simple discussions today. This conclusion is not the same as the first purely formal [calculative] consideration. Here we come to a point where we can take hold. It is true that there can be a being that can only perceive what moves in the plane, that has no idea that there is anything above or below. Now imagine the following: Imagine that a point becomes visible to the being within the surface, which is of course perceptible because it is located in the surface. If the point only moves within the surface, it remains visible; but if it moves out of the surface, it becomes invisible. It would have disappeared for the surface being. Now let us assume that the point reappears, thus becoming visible again, only to disappear again, and so on. The being cannot follow the point [as it moves out of the surface], but the being can say to itself: the point has now gone somewhere I cannot see. The being with the surface vision could now do one of two things. Let us put ourselves in the place of the soul of this flat creature. It could say: There is a third dimension into which the object has disappeared, and then it has reappeared afterwards. Or it could also say: These are very foolish creatures who speak of a third dimension; the object has always disappeared, perished and been reborn [in every case]. One would have to say: the being sins against reason. If it does not want to assume a continuous disappearance and re-emergence, the being must say to itself: the object has submerged somewhere, disappeared, where I cannot see. A comet, when it disappears, passes through four-dimensional space. We see here what we have to add to the mathematical consideration. There should be something in the field of our observations that always emerges and disappears again. You don't need to be clairvoyant for that. If the surface being were clairvoyant, it wouldn't need to conclude, because it would know from experience that there is a third dimension. It is the same for humans. Unless they are clairvoyant, they would have to say: I remain in the three dimensions; but as soon as I observe something that disappears from time to time and reappears, I am justified in saying: there is a fourth dimension here.Everything that has been said so far is as unassailable as it can possibly be. And the confirmation is so simple that it will not even occur to man in his present deluded state to admit it. The answer to the question: Is there something that always disappears and reappears? — is so easy. Just imagine, a feeling of joy arises in you and then it disappears again. It is impossible that anyone who is not clairvoyant will perceive it. Now the same sensation reappears through some event. Now you, just like the surface creature, could behave in different ways. Either you say to yourself that the sensation has disappeared somewhere where I cannot follow it, or you take the view that the sensation passes away and arises again and again. But it is true: every thought that has vanished into the unconscious is proof that something disappears and then reappears. At most, the following can be objected to: if you endeavor to object to such a thought, which is already plausible to you, with everything that could be objected to from a materialistic point of view, you are quite right. I will make the most subtle objection here, all the others are very easy to refute. For example, one says to oneself: everything is explained in a purely materialistic way. Now I will show you that something can quite well disappear within material processes, only to reappear later. Imagine that some kind of vapor piston is always acting in the same direction. It can be perceived as a progressive piston as long as the force is acting. Now suppose I set a piston that is exactly the same but acting in the opposite direction. Then the movement is canceled out and a state of rest sets in. So here the movement actually disappears. In the same way, one could say here: For me, the sensation of joy is nothing more than molecules moving in the brain. As long as this movement takes place, I feel this joy. Now, let us assume that something else causes an opposite movement of the molecules in the brain, and the joy disappears. Wouldn't someone who doesn't go very far with their considerations find a very meaningful objection here? But let's take a look at what this objection is actually about. Just as one [piston] movement disappears when the opposite [piston movement] occurs, so the [molecular movement underlying the sensation] is extinguished by the opposite [molecular movement]. What happens when one piston movement extinguishes the other? Then both movements disappear. The second movement also disappears immediately. The second movement cannot extinguish the first without itself being extinguished. [A total standstill results, no movement whatsoever remains.] Yes, but then a [new] sensation can never extinguish the [already existing] sensation [without perishing itself]. So no sensation that is in my consciousness could ever extinguish another [without extinguishing itself in the process]. It is therefore a completely false assumption that one sensation could extinguish another [at all]. [If that were the case, no sensation would remain, and a totally sensationless state would arise.] Now, at most, it could be said that the first sensation is pushed into the subconscious by the second. But then one admits that something exists that eludes our [immediate] observation. We have not considered any clairvoyant observations today, but have only spoken of purely mathematical ideas. Now that we have admitted the possibility of such a four-dimensional world, we ask ourselves: Is there a way to observe something [four-dimensional] without being clairvoyant? — Yes, but we have to use a kind of projection to help us. If you have a piece of a surface, you can rotate it so that the shadow becomes a line. Similarly, you can get a point from a line as a shadow. For a [three-dimensional] body, the silhouette is a [two-dimensional] surface. Likewise, one can say: So it is quite natural, if we are aware that there is a fourth dimension, that we say: [Three-dimensional] bodies are silhouettes of four-dimensional entities. Here we have arrived at the idea of [four-dimensional space] in a purely geometrical way. But [with the help of geometry] this is also possible in another way. Imagine a square, which has two dimensions. If you imagine the four [bounding] lines laid down next to each other [i.e., developed], you have laid out the [boundary figures] of a two-dimensional figure in one dimension (Figure 58). Let's move on. Imagine we have a line. If we proceed in the same way as with the square, we can also decompose it into two points [and thus decompose the boundaries of a one-dimensional structure into zero dimensions]. You can also decompose a cube into six squares (Figure 59). So there we have the cube in terms of its boundaries decomposed into surfaces, so that we can say: a line is decomposed into two points, a surface into four lines, a cube into six surfaces. We have the numerical sequence two, four, six here. Now we take eight cubes. Just as [the above developments each consist of] unfolded boundaries, here the eight cubes form the boundary of the four-dimensional body (Figure 60). The [development of these] boundaries forms a double cross, which, we can say, indicates the boundaries of the regular [four-dimensional] body. [This body, a four-dimensional cube, is named the Hinton Tessaract after Hinton.] We can therefore form an idea of the boundaries of this body, the tessaract. We have here the same idea of the four-dimensional body as a two-dimensional being could have of a cube, for example by unfolding the boundaries. |
326. The Origins of Natural Science: Lecture III
26 Dec 1922, Dornach Tr. Maria St. Goar, Norman MacBeth Rudolf Steiner |
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Hence they felt that if they could express the world in thoughts arranged in the same clear-cut architectural order as in a mathematical or geometrical system, they would thereby achieve something that would have to correspond to reality. |
326. The Origins of Natural Science: Lecture III
26 Dec 1922, Dornach Tr. Maria St. Goar, Norman MacBeth Rudolf Steiner |
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In the last two lectures I tried to indicate the point in time when the scientific outlook and manner of thinking, such as we know it today, arose in the course of time. It was pointed out yesterday that the whole character of this scientific thinking, emerging at the beginning most clearly in Copernicus’ conception of astronomy, depends on the way in which mathematical thinking was gradually related to the reality of the external world. The development of science in modern times has been greatly affected by a change—one might almost say a revolutionary change—in human perception in regard to mathematical thinking itself. We are much inclined nowadays to ascribe permanent and absolute validity to our own manner of thinking. Nobody notices how much matters have changed. We take a certain position today in regard to mathematics and to the relationship of mathematics to reality. We assume that this is the way it has to be and that this is the correct relationship. There are debates about it from time to time, but within certain limits this is regarded as the true relationship. We forget that in a none too distant past mankind felt differently concerning mathematics. We need only recall what happened soon after the point in time that I characterized as the most important in modern spiritual life, the point when Nicholas Cusanus presented his dissertation to the world. Shortly after this, not only did Copernicus try to explain the movements of the solar system with mathematically oriented thinking of the kind to which we are accustomed today, but philosophers such as Descartes and Spinoza24 began to apply this mathematical thought to the whole physical and spiritual universe. Even in such a book as his Ethics, the philosopher Spinoza placed great value on presenting his philosophical principles and postulates, if not in mathematical formulae—for actual calculations play no special part—yet in such a manner that the whole form of drawing conclusions, of deducing the later rules from earlier ones, is based on the mathematical pattern. By and by it appeared self-evident to the men of that time that in mathematics they had the right model for the attainment of inward certainty. Hence they felt that if they could express the world in thoughts arranged in the same clear-cut architectural order as in a mathematical or geometrical system, they would thereby achieve something that would have to correspond to reality. If the character of scientific thinking is to be correctly understood, it must be through the special way in which man relates to mathematics and mathematics relates to reality. Mathematics had gradually become what I would term a self-sufficient inward capacity for thinking. What do I mean by that? The mathematics existing in the age of Descartes25 and Copernicus can certainly be described more or less in the same terms as apply today. Take a modern mathematician, for example, who teaches geometry, and who uses his analytical formulas and geometrical concepts in order to comprehend some physical process. As a geometrician, this mathematician starts from the concepts of Euclidean geometry, the three-dimensional space (or merely dimensional space, if he thinks of non-Euclidean geometry.)26 In three-dimensional space he distinguishes three mutually perpendicular directions that are otherwise identical. Space, I would say, is a self-sufficient form that is simply placed before one's consciousness in the manner described above without questions being raised such as: Where does this form come from? Or, Where do we get our whole geometrical system? In view of the increasing superficiality of psychological thinking, it was only natural that man could no longer penetrate to those inner depths of soul where geometrical thought has its base. Man takes his ordinary consciousness for granted and fills this consciousness with mathematics that has been thought-out but not experienced. As an example of what is thought-out but not experienced, let us consider the three perpendicular dimensions of Euclidean space. Man would have never thought of these if he had not experienced a threefold orientation within himself. One orientation that man experiences in himself is from front to back. We need only recall how, from the external modern anatomical and physiological point of view, the intake and excretion of food, as well as other processes in the human organism, take place from front to back. The orientation of these specific processes differs from the one that prevails when, for example, I do something with my right arm and make a corresponding move with my left arm. Here, the processes are oriented left and right. Finally, in regard to the last orientation, man grows into it during earthly life. In the beginning he crawls on all fours and only gradually, stands upright, so that this last orientation flows within him from above downward and up from below. As matters stand today, these three orientations in man are regarded very superficially. These processes—front to back, right to left or left to right, and above to below—are not inwardly experienced so much as viewed from outside. If it were possible to go back into earlier ages with true psychological insight, one would perceive that these three orientations were inward experiences for the men of that time. Today our thoughts and feelings are still halfway acknowledged as inward experiences, but he man of a bygone age had a real inner experience, for example, of the front-to-back orientation. He had not yet lost awareness of the decrease in intensity of taste sensations from front to back in the oral cavity. The qualitative experience that taste was strong on the tip of the tongue, then grew fainter and fainter as it receded from front to back, until it disappeared entirely, was once a real and concrete experience. The orientation from front to back was felt in such qualitative experiences. Our inner life is no longer as intense as it once was. Therefore, today, we no longer have experiences such as this. Likewise man today no longer has a vivid feeling for the alignment of his axis of vision in order to focus on a given point by shifting the right axis over the left. Nor does he have a full concrete awareness of what happens when, in the orientation of right-left, he relates his right arm and hand to the left arm and hand. Even less does he have a feeling that would enable him to say: The thought illuminates my head and, moving in the direction from above to below, it strikes into my heart. Such a feeling, such an experience, has been lost to man along with the loss of all inwardness of world experience. But it did once exist. Man did once experience the three perpendicular orientation of space within himself. And these three spatial orientations—right-left, front-back, and above-below—are the basis of the three-dimensional framework of space, which is only the abstraction of the immediate inner experience described above. So what can we say when we look back at the geometry of earlier times? We can put it like this: It was obvious to a man in those ages that merely because of his being human the geometrical elements revealed themselves in his own life. By extending his own above-below, right-left, and front-back orientations, he grasped the world out of his own being. Try to sense the tremendous difference between this mathematical feeling bound to human experience, and the bare, bleak mathematical space layout of analytical geometry, which establishes a point somewhere in abstract space, draws three coordinating axes at right angles to each other and thus isolates this thought-out space scheme from all living experience. But man has in fact torn this thought-out spatial diagram out of his own inner life. So, if we are to understand the origin of the later mathematical way of thinking that was taken over by science, if we are to correctly comprehend its self-sufficient presentation of structures, we must trace it back to the self-experienced mathematics of a bygone age. Mathematics in former times was something completely different. What was once present in a sort of dream-like experience of three-dimensionality and then became abstracted, exists today completely in the unconscious. As a matter of fact, man even now produced mathematics from his own three-dimensionality. But the way in which he derives this outline of space from his experiences of inward orientation is completely unconscious. None of this rises into consciousness except the finished spatial diagram. The same is true of all completed mathematical structures. They have all been severed from their roots. I chose the example of the space scheme, but I could just as well mention any other mathematical category taken from algebra or arithmetic. They are nothing but schemata drawn from immediate human experience and raised into abstraction. Going back a few centuries, perhaps to the fourteenth century, and observing how people conceived of things mathematical, we find that in regard to numbers they still had an echo of inward feelings. In an age in which numbers had already become an abstract ads they are today, people would have been unable to find the names for numbers. The words designating numbers are often wonderfully characteristic. Just think of the word “two.” (zwei) It clearly expresses a real process, as when we say entzweien, “to cleave in twain.” Even more, it is related to zweifeln, “to doubt.” It is not mere imitation of an external process when the number two, zwei, is described by the word Entzweien, which indicates the disuniting, the splitting, of something formerly a whole. It is in fact something that is inwardly experienced and only then made into a scheme. It is brought up from within, just as the abstract three-dimensional space-scheme is drawn up from inside the mind. We arrive back at an age of rich spiritual vitality that still existed in the first centuries of Christianity, as can be demonstrated by the fact that mathematics, mathesis, and mysticism were considered to be almost one and the same. Mysticism, mathesis, and mathematics are one, though only in a certain connection. For a mystic of the first Christian centuries, mysticism was something that one experienced more inwardly in the soul. Mathematics was the mysticism that one experienced more outwardly with the body; for example, geometry with the body's orientations to front-and-back, right-and-left, and up-and-down. One could say that actual mysticism was soul mysticism and that mathematics, mathesis, was mysticism of the corporeality. Hence, proper mysticism was inwardly experienced in what is generally understood by this term; whereas mathesis, the other mysticism, as experienced by means of an inner experience of the body, as yet not lost. As a matter of fact, in regard to mathematics and the mathematical method Descartes and Spinoza still had completely different feelings from what we have today. Immerse yourself in these thinkers, not superficially as in the practice today when one always wants to discover in the thinkers of old the modern concepts that have been drilled into our heads, but unselfishly, putting yourself mentally in their place. You will find that even Spinoza still retained something of a mystical attitude toward the mathematical method. The philosophy of Spinoza differs from mysticism only in one respect. A mystic like Meister Eckhart or Johannes Tauler27 attempts to experience the cosmic secrets more in the depths of feeling. Equally inwardly, Spinoza constructs the mysteries of the universe along mathematical, methodical lines, not specifically geometrical lines, but lines experienced mentally by mathematical methods. In regard to soul configuration and mood, there is no basic difference between the experience of Meister Eckhart's mystical method and Spinoza's mathematical one. Anyone how makes such a distinction does not really understand how Spinoza experienced his Ethics, for example, in a truly mathematical-mystical way. His philosophy still reflects the time when mathematics, mathesis, and mysticism were felt as one and the same experience in the soul. Now, you will perhaps recall how, in my book The Case for Anthroposophy,28 I tried to explain the human organization in a way corresponding to modern thinking. I divided the human organization—meaning the physical one—into the nerve-sense system, the rhythmic system, and the metabolic-limb system. I need not point out to you that I did not divide man into separate members placed side by side in space, although certain academic persons have accused29 me of such a caricature. I made it clear that these three systems interpenetrate each other. The nerve-sense system is called the “head system” because it is centered mainly in the head, but it spreads out into the whole body. The breathing and blood rhythms of the chest system naturally extend into the head organization, and so on. The division is functional, not local. An inward grasp of this threefold membering will give you true insight into the human being. Let us now focus on this division for a certain purpose. To begin with, let us look at the third member of the human organization, that of digestion (metabolism) and the limbs. Concentrating on the most striking aspect of this member, we see that man accomplishes the activities of external life by connecting his limbs with his inner experiences. I have characterized some of these, particularly the inward orientation experience of the three directions of space. In his external movements, in finding his orientation in the world, man's limb system achieves inward orientation in the three directions. In walking, we place ourselves in a certain manner into the experience of above-below. In much that we do with our hands or arms, we bring ourselves into the orientation of right-and-left. To the extent that speech is a movement of the aeriform in man, we even fit ourselves into direction of front-and-back, back-and-front, when we speak. Hence, in moving about in the world, we place our inward orientation into the outer world. Let us look at the true process, rather than the merely illusionary one, in a specific mathematical case. It is an illusionary process, taking place purely in abstract schemes of thought, when I find somewhere in the universe a process in space, and I approach it as an analytical mathematician in such a way that I draw or imagine the three coordinate axes of the usual spatial system and arrange this external process into Descartes’ purely artificial space scheme. This is what occurs above, in the realm of thought schemes, through the nerve-sense system. One would not achieve a relationship to such a process in space if it were not for what one does with one's limbs, with one's whole body, if it were not for inserting oneself into the whole world in accordance with the inward orientation of above-below, right-left, and front-back. When I walk forward, I know that on one hand I place myself in the vertical direction in order to remain upright. I am also aware that in walking I adjust my direction to the back-to-front orientation, and when I swim and use my arms, I orient myself in right and left. I do not understand all this if I apply Descartes’ space scheme, the abstract scheme of the coordinate axes. What gives me the impression of reality in dealing with matters of space is found only when I say to myself: Up in the head, in the nerve system, an illusory image arises of something that occurs deep down in the subconscious. Here, where man cannot reach with his ordinary consciousness, something takes place between his limb system and the universe. The whole of mathematics, of geometry, is brought up out of our limb system of movement. We would not have geometry if we did not place ourselves into the world according to inward orientation. In truth, we geometrize when we lift what occurs in the subconscious into the illusory of the thought scheme. This is the reason why it appears so abstractly independent to us. But his is something that this only come about in recent times. In the age in which mathesis, mathematics, was still felt to be something close to mysticism, the mathematical relationship to all things was also viewed as something human. Where is the human factor if I imagine an abstract point somewhere in space crossed by three perpendicular directions and then apply this scheme to a process perceived in actual space? It is completely divorced from man, something quite inhuman. This non-human element, which has appeared in recent times in mathematical thinking, was once human. But when was it human? The actual date has already been indicated, but the inner aspect is still to be described. When was it human? It was human when man did not only experience in his movements and his inward orientation in space that he stepped forward from behind and moved in such a way that he was aware of his vertical as well as the horizontal direction, but when he also felt the blood's inward activity in all such moving about, in all such inner geometry. There is always blood activity when I move forward. Think of the blood activity present when, as an infant, I lifted myself up from the horizontal to an upright position! Behind man's movements, behind his experience of the world by virtue of movements, (which can also be, and at one time was, an inward experience) there stands the experience of the blood. Every movement, small or large, that I experience as I perform it contains its corresponding blood experience. Today blood is to us the red fluid that seeps out when we prick our skin. We can also convince ourselves intellectually of its existence. But in the age when mathematics, mathesis, was still connected with mysticism, when in a dreamy way the experience of movement was inwardly connected with that of blood, man was inwardly aware of the blood. It was one thing to follow the flow of blood through the lungs and quite another to follow it through the head. Man followed the flow of the blood in lifting his knee or his foot, and he inwardly felt and experienced himself through and through in his blood. The blood has one tinge when I raise my foot, another when I place it firmly on the ground. When I lounge around and doze lazily, the blood's nuance differs from the one it has when I let thoughts shoot through my head. The whole person can take on a different form when, in addition to the experience of movement, he has that of the blood. Try to picture vividly what I mean. Imagine that you are walking slowly, one step at a time; you begin to walk faster; you start to run, to turn yourself, to dance around. Suppose that you were doing all this, not with today's abstract consciousness, but with inward awareness: You would have a different blood experience at each stage, with the slow walking, then the increase in speed, the running, the turning, the dancing. A different nuance would be noted in each case. If you tried to draw this inner experience of movement, you would perhaps have to sketch it like this (white line.) But for each position in which you found yourself during this experience of movement, you would draw a corresponding inward blood experience (red, blue, yellow—see Figure 2) Of the first experience, that of movement, you would say that you have it in common with external space, because you are constantly changing your position. The second experience, which I have marked by means of the different colors, is a time experience, a sequence of inner intense experiences. In fact, if you run in a triangle, you can have one inner experience of the blood. You will have a different one if you run in a square. What is outwardly quantitative and geometric, is inwardly intensely qualitative in the experience of the blood. It is surprising, very surprising, to discover that ancient mathematics spoke quite differently about the triangle and the square. Modern nebulous mystics describe great mysteries, but there is no great mystery here. It is only what a person would have experienced inwardly in the blood when he walked the outline of a triangle or a square, not to mention the blood experience corresponding to the pentagram. In the blood the whole of geometry becomes qualitative inward experience. We arrive back at a time when one could truly say, as Mephistopheles does in Goethe's Faust, “Blood is a very special fluid.”30 This is because, inwardly experienced, the blood absorbs all geometrical forms and makes of them intense inner experiences. Thereby man learns to know himself as well. He learns to know what it means to experience a triangle, a square, a pentagram; he becomes acquainted with the projection of geometry on the blood and its experiences. This was once mysticism. Not only was mathematics, mathesis, closely related to mysticism, it was in fact the external side of movement, of the limbs, while the inward side was the blood experience. For the mystic of bygone times all of mathematics transformed itself out of a sum of spatial formations into what is experienced in the blood, into an intensely mystical rhythmic inner experience. We can say that once upon a time man possessed a knowledge that he experienced, that he was an integral part of; and that at the point in time that I have mentioned, he lost this oneness of self with the world, this participation in the cosmic mysteries. He tore mathematics loose from his inner being. No longer did he have the experience of movement; instead, he mathematically constructed the relationships of movement outside. He no longer had the blood experience; the blood and its rhythm became something quite foreign to him. Imagine what this implies: Man tears mathematics free from his body and it becomes something abstract. He loses his understanding of the blood experience. Mathematics no longer goes inward. Picture this as a soul mood that arose at a specific time. Earlier, the soul had a different mood than later. Formerly, it sought the connection between blood experience and experience of movement; later, it completely separated them. It no longer related the mathematical and geometrical experience to its own movement. It lost the blood experience. Think of this as real history, as something that occurs in the changing moods of evolution. Verily, a man who lived in the earlier age, when mathesis was still mysticism, put his whole soul into the universe. He measured the cosmos against himself. He lived in astronomy. Modern man inserts his system of coordinates into the universe and keeps himself out of it. Earlier, man sensed a blood experience with each geometrical figure. Modern man feels no blood experience; he loses the relationship to his own heart, where the blood experiences are centered. Is it imaginable that in the seventh or eighth century, when the soul still felt movement as a mathematical experience and blood as a mystical experience, anybody would have founded a Copernican astronomy with a system of coordinates simply inserted into the universe and totally divorced from man? No, this became possible only when a specific soul constitution arose in evolution. And after that something else became possible as well. The inward blood awareness was lost. Now the time had come to discover the movements of the blood externally through physiology and anatomy. Hence you have this change in evolution: On one hand Copernican astronomy, on the other the discovery of the circulation of the blood by Harvey,31 a contemporary of Bacon and Hobbes. A world view gained by abstract mathematics cannot produce anything like the ancient Ptolemaic theory, which was essentially bound up with man and the living mathematics he experienced within himself. Now, one experiences an abstract system of coordinates starting with an arbitrary zero point. No longer do we have the inward blood experience; instead, we discover the physical circulation of the blood with the heart in the center. The birth of science thus placed itself into the whole context of evolution in both its conscious and unconscious processes. Only in this way, out of the truly human element, can one understand what actually happened, what had to happen in recent times for science—so self-evident today—to come into being in the first place. Only thus could it even occur to anybody to conduct such investigations as led, for example, to Harvey's discovery of the circulation of the blood. We shall continue with this tomorrow.
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305. Spiritual Ground of Education: The Organisation of the Waldorf School
23 Aug 1922, Oxford Tr. Daphne Harwood Rudolf Steiner |
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Or children bring their own fantasy into play: they make a cat, not just a nice cat, but as it strikes them: humped, without more ado and very well carried out. |
305. Spiritual Ground of Education: The Organisation of the Waldorf School
23 Aug 1922, Oxford Tr. Daphne Harwood Rudolf Steiner |
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When we speak of organisation to-day we commonly imply that something is to be organised, to be arranged. But in speaking of the organisation of the Waldorf School I do not and cannot mean it in this sense, for really one can only organise something which has a mechanical nature. One can organise the arrangements in a factory where the parts are bound into a whole by the ideas which one has put into it. The whole exists and one must accept it as an organism. It must be studied. One must learn to know its arrangements as an organism, as an organisation. A school such as the Waldorf School is an organism in this sense, as a matter of course,—but it cannot be organised, as I said before in the sense of making a program laying down in paragraphs how the school shall be run: Sections: 1, 2, 3, etc. As I said, I am fully convinced—and I speak without irony—that in these days if five or twelve people sit down together they can work out an ideal school plan, not to be improved upon, people are so intelligent and clever nowadays: Paragraphs 1, 2, etc., up to 12 and so on; the only question which arises is: can it be carried out in practice? And it would very soon be apparent that one can make charming programs, but actually when one founds a school one has to deal with a finished organism. This school, then, comprises a staff of teachers; and they are not moulded out of wax. Your section 1 or section 5 would perhaps lay down: the teacher shall be such and such. But the staff is not composed of something to be moulded like wax, one has to seek out each single teacher and take him with the faculties which he has. Above all it is necessary to understand what these faculties are. One must know to start with, whether he is a good elementary teacher or a good teacher for higher classes. It is as necessary to under-stand the individual teacher as it is, in the human organism, to understand the nose or the ear if one is to accomplish something. It is not a question of having theoretical principles and rules, but of meeting reality as it comes. If teachers could be kneaded out of wax then one could make programs. But this cannot be done. Thus the first reality to reckon with is the college of teachers. And this one must know intimately. Thus it is the fundamental principle of the organisation of the Waldorf School that, since I am the director and spiritual adviser to the Waldorf School, I must know the college of teachers intimately, in all its single members, I must know each single individuality. The second thing is the children, and here at the start we were faced with certain practical difficulties in the Waldorf School. For the Waldorf School was founded in Stuttgart by Emil Molt from the midst of the emotions and impulses of the years 1918 and 1919, after the end of the war. It was founded, in the first place as a social act. One saw that there was not much to be done with adults as far as social life was concerned; they came to an understanding for a few weeks in middle Europe after the end of the war. After that, they fell back on the views of their respective classes. So the idea arose of doing something for the next generation. And since it happened that Emil Molt was an industrialist in Stuttgart, we had no need to go from house to house canvassing for children, we received the children of the workers in his factory. Thus, at the beginning, the children we received from Molt's factory, about 150 of them, were essentially proletarian children. These 150 children were supplemented by almost all the anthroposophical children in Stuttgart and the neighbourhood; so that we had something like 200 children to work with at the beginning. This situation brought it about that the school was practically speaking a school for all classes (Einheitschule). For we had a foundation of proletarian children, and the anthroposophical children were mostly not proletarian, but of every status from the lowest to the highest. Thus any distinctions of class or status were ruled out in the Waldorf School by its very social composition. And the aim through-out has been, and will continue to be, solely to take account of what is universally human. In, the Waldorf School what is considered is the educational principles and no difference is made in their application between a child of the proletariat and a child of the ex-Kaiser—supposing it to have sought entry into the school. Only pedagogic and didactic principles count, and will continue to count. Thus from the very first, the Waldorf School was conceived as a general school. But this naturally involved certain difficulties, for the proletarian child brings different habits with him into the school from those of children of other status. And these contrasts actually turned—out to be exceedingly beneficial, apart from a few small matters which could be got over with a little trouble. What these things were you can easily imagine; they are mostly concerned with habits of life, and often it is not easy to rid the children of all they bring with them into the school. Although even this can be achieved if one sets about it with good will. Nevertheless, many children of the so-called upper classes, unaccustomed to having this or that upon them, would sometimes carry home the unpleasant thing, whereupon unpleasant comments would be made by their parents. Well, as I said, here on the other hand were the children. These were what I might call the tiny difficulties. A greater difficulty arose from the fact that the ideal of the Waldorf School was to educate purely in accordance with knowledge of man, to give the child week by week, what the child's own nature demanded. In the first instance we arranged the Waldorf School as an elementary school of 8 classes, so that we had in it children from 6 or 7 to 14 or 15 years old. Now these children came to us at the beginning from all kinds of different schools. They came with previous attainments of the most varied kinds; certainly not always such as we should have considered suitable for a child of 8 or 11 years old. So that during the first year we could not count on being able to carry out our ideal of education; nor could we proceed according to plan: 1, 2, etc., but we had to proceed in accordance with the individualities of the children we had in each particular class. Nevertheless this would only have been a minor difficulty. The greater difficulty is this, that no method of education however ideal it is must tear a man out of his connections in life. The human being is not an abstract thing to be put through an education and finished with, a human being is the child of particular parents. He has grown up as the product of the social order. And after his education he must enter this social order again. You see, if you wanted to educate a child strictly in accordance with an idea, when he was 14 or 15 he would no doubt be very ideal, but he would not find his place in modern life, he would be quite at sea. Thus it was not merely a question of carrying out an ideal, nor is it so now in the Waldorf School. The point is so to educate the child that he remains in touch with present-day life, with the social order of to-day. And here there is no sense in saying: the present social order is bad. Whether it be good or bad, we simply have to live in it. And this is the point, we have to live in it and hence we must not simply withdraw the children from it. Thus I was faced with the exceedingly difficult task of carrying out an educational idea on the one hand while on the other hand keeping fully in touch with present-day life. Naturally the education officers regarded what was done in other schools as a kind of ideal. It is true they always said: one cannot attain the ideal, one can only do one's best under the circumstances. Life demands this or that of us. But one finds in actual practice when one has dealings with them that they regard all existing arrangements set up either by state authorities or other authorities as exceptionally good, and look upon an institution such as the Waldorf School as a kind of crank hobby, a vagary, something made by a person a little touched in the head. Well you know, one can often let a crank school like this carry on and just see what comes of it. And in any case it has to be reckoned with. So I endeavoured to come to terms with them through the following compromise. In a memorandum, I asked to he allowed three years grace to try out my ‘vagary,’ the children at the end of that time, to be sufficiently advanced to be able to enter ordinary schools. Thus I worked out a memorandum showing how the children when they had been taken to the end of the third elementary class, namely in their 9th year, should have accomplished a certain stage, and should be capable of entering the 4th class in another school. But during the intermediate time, I said, I wanted absolute freedom to give the children week by week, what was requisite according to a knowledge of man. And then I requested to have freedom once more from the 9th to the 12th year. At the end of the 12th year the children should have again reached a stage such as would enable them to enter an ordinary school; and the same thing once again on their leaving school. Similarly with regard to the children,—I mean, of course, the young ladies and gentlemen—who would be leaving school to enter college, a university or any other school for higher education: from the time of puberty to the time for entering college there should be complete freedom: but by that time they should be far enough advanced to be able to pass into any college or university—for naturally it will be a long time before the Free High School at Dornach will be recognised as giving a qualification for passing out into life. This arrangement to run parallel with the organisation of ordinary schools was an endeavour to accord our own intentions and convictions with things as they are, to make a certain harmony. For there is nothing unpractical about the Waldorf School, on the contrary, on every point this ‘vagary’ aims at realising things which have a practical application to life. Hence also, there is no question of constructing the school on the lines of some bad invention—then indeed it would be a construction, not an organisation,—but it is truly a case of studying week by week the organism that is there. Then an observer of human nature—and this includes child nature—will actually light upon the most concrete educational measures from month to month. As a doctor does not say at the very first examination everything that must be done for his patient, but needs to keep him under observation because the human being is an organism, so much the more in such an organism as a school must one make a continuous study. For it can very well happen that owing to the nature of the staff and children in 1920—say—one will proceed in a manner quite different from one's procedure with the staff and children one has in 1924. For it may be that the staff has increased and so quite changed, and the children will certainly be quite different. In face of this situation the neatest possible sections 1 to 12 would be of no use. Experience gained day by day in the classroom is the only thing that counts. Thus the heart of the Waldorf School, if I speak of its organisation, is the teachers' staff meeting. These staff meetings are held periodically, and when I can be in Stuttgart they are held under my guidance, but in other circumstances they are held at frequent intervals. Here, before the assembled staff, every teacher throughout the school will discuss the experiences he has in his class in all detail. Thus these constant staff meetings tend to make the school into an organism in the same way as the human body is an organism by virtue of its heart. Now what matters in these staff meetings is not so much the principles but the readiness of all teachers to live together in goodwill, and the abstention from any form of rivalry. And it matters supremely that a suggestion made to another teacher only proves helpful when one has the right love for every single child. And by this I do not mean the kind of love which is often spoken about, but the love which belongs to an artistic teacher. Now this love has a different nuance from ordinary love. Neither is it the same as the sympathy one can feel for a sick man, as a man, though this is a love of humanity. But in order to treat a sick man one must also be able—and here please do not misunderstand me—one must also be able to love the illness. One must be able to speak of a beautiful illness. Naturally for the patient it is very bad, but for him who has to treat it it is a beautiful illness. It can even in certain circumstances be a magnificent illness. It may be very bad indeed for the patient but for the man whose task it is to enter into it and to treat it lovingly it can be a magnificent illness. Similarly, a boy who is a thorough ne'er-do-well (a ‘Strick’ as we say in German) by his very roguery, his way of being bad, of being a ne'er-do-well can be sometimes so extraordinarily interesting, that one can love him extraordinarily. For instance, we have in the Waldorf School a very interesting case, a very abnormal boy. He has been at the Waldorf School from the beginning, he came straight into the erst class. His characteristic was that he would run at a teacher as soon as he had turned his back, and give him a bang. The teacher treated this rascal with extraordinary love and extraordinary interest. He fondled him, led him back to his place, gave no sign of having noticed that he had been banged from behind. One can only treat this child by taking into consideration his whole heredity and environment. One has to know the parental milieu in which he has grown up, and one must know his pathology. Then, in spite of his rascality one can effect something with him, especially if one can love this form of rascality. There is something lovable about a person who is quite exceptionally rascally. A teacher has to look upon these things in a different way from the average person. Thus it is very important for him to develop this special love I have spoken of. Then in the staff meeting one can say something to the point. For nothing helps one so much in dealing with normal children as to have observed abnormal children. You see healthy children are comparatively hard to study for in them every characteristic is toned down. One does not so easily see how it stands with a certain characteristic and what relation it has to others. In an abnormal child, where one character complex predominates one very soon finds the, way to treat this particular character complex, even if it involves a pathological treatment. And this experience can be applied to normal children. Such then, is the organisation; and such as it is it has brought credit to the Waldorf School in so far as the number of children has rapidly increased; whereas we began the school with about 200 children we now have nearly 700. And these children are of all classes, so that the Waldorf School is now organised as a general school [‘Einbeitschule.’] in the best sense of the word. For most of the classes, particularly in the lower classes, we have had to arrange parallel classes because we received too many children for a single class; thus we have a first class A, and a first class B and so on. This has made, naturally, increasingly great demands on the Waldorf School. For where the whole organisation is to be conceived from out of what life presents, every new child modifies its nature; and the organism with this new member requires a fresh handling and a further study of man. The arrangement in the Waldorf School is that the main lesson shall take place in the morning. The main lesson begins in winter at 8 or 8:15, in summer a little earlier. The special characteristic of this main lesson is that it does away with the ordinary kind of time table. We have no time table in the ordinary sense of the word, but one subject is taken throughout this erst two hour period in the morning—with a break in it for younger children,—and this subject is carried on for a space of four or six weeks and brought to a certain stage. After that, another subject is taken. For children of higher classes, children of 11, 12, or 13 years old what it comes to is that instead of having: 8 – 9 Religion, 9 – 10 Natural History, from 10 – 11 Arithmetic,—that is, instead of being thrown from one thing to another,—they have for example, in October four weeks of Arithmetic, then three weeks of Natural History, etc. It might be objected that the children may forget what they learn because a comprehensive subject taken in this way is hard to memorise. This objection must be met by economy in instruction and by the excellence of the teachers. The subjects are recapitulated only in the last weeks of the school year so as to gather up, as it were, all the year's work. In this manner, the child grows right into a subject. The language lesson, which, with us, is a conversation lesson, forms an exception to this arrangement. For we begin the teaching of languages, as far as we can,—that is English and French—in the youngest classes of the school; and a child learns to speak in the languages concerned from the very beginning. As far as possible, also, the child learns the language without the meaning being translated into his own language. (Translator's Note: i.e. direct method). Thus the word in the foreign language is attached to the object, not to the word in the German language. So that the child learns to know the table anew in some foreign language,—he does not learn the foreign word as a translation of the German word Tisch. Thus he learns to enter right into a language other than his mother tongue; and this becomes especially evident with the younger children. It is our practice moreover to avoid giving the younger children any abstract, theoretical grammar. Not until a child is between 9 and 10 years old can he understand grammar—namely, when he reaches an important turning point of which I shall be speaking when. I deal with the boys and girls of the Waldorf School. This language teaching mostly takes place between 10 and 12 in the morning. This is the time in which we teach what lies outside the main lesson—which is always held in the first part of the morning. (The Waldorf School began at 8 a.m.) Thus any form of religion teaching is taken at this time. And I shall be speaking further of this teaching of religion, as well as about moral teaching and discipline, when I deal with the theme ‘the boys and girls of the Waldorf School.’ But I want for the moment to emphasise the fact that the afternoon periods are all used for singing, music and eurhythmy lessons. This is so that the child may as far as possible participate with his whole being in all the education and instruction he receives. The instruction and education can appeal the better to the child's whole nature because it is conceived as a whole in the heart of the teachers' meetings, as I have described. This is particularly noticeable when the education passes over from the more psychic domain into that of physical and practical life. And particular attention is paid in the Waldorf School to this transition into physical and practical life. Thus we endeavour that the children shall learn to use their hands more and more. Taking as a start, the handling little children do in their toys and games, we develop this into more artistic crafts but still such as come naturally from a child. This is the sort of thing we produce (Tr. Note: showing toys etc.) this is about the standard reached by the 6th school year. Many of these things belong properly to junior classes, but as I said, we have to make compromises and shall only be able to reach our ideal later on—and then what a child of 11 or 12 now does, a child of 9 will be able to do. The characteristic of this practical work is that it is both spontaneous and artistic. The child works with a will on something of his own choosing, not at a set task. This leads on to handwork or woodwork classes in which the child has to carve and make all kinds of objects of his own planning. And one discovers how much children can bring forth where their education is founded in real life. I will give an example. We get the children to carve things which shall be artistic as well as useful. In this for instance: (Tr. Note: holding up a carved wooden bowl) one can put things. We get the children to carve forms like this so that they may acquire feeling for form and shape sprung from themselves; so that the children shall make something which derives its form from their own will and pleasure. And this brings out a very remarkable thing. Suppose we have taken human anatomy at some period with this class, a thing which is particularly important for this class in the school (VI). We have explained the forms of the bones, of the skeletal system, to the children, also the external form of the body and the functions of the human organism. And since the teaching has been given in an artistic form, in the manner I have described, the children have been alive to it and have really taken it in. It has reached as far as their will, not merely to the thoughts in their heads. And then, when they come to do things like this (Carved bowl) one sees that it lives on in their hands. The forms will be very different according to what we may have been teaching. It comes out in these forms. From the children's plastic work one can tell what was done in the morning hours from 8 – 10, because the instruction given permeates the whole being. This is achieved only when one really takes notice of the way things go on in nature. May I say a very heretical thing: people are very fond of giving children dolls, especially a ‘lovely’ doll. They do not see that children really don't want it. They wave it away, but it is pressed upon them. Lovely dolls, all painted! It is much better to give children a handkerchief, or, if that can't be spared, some piece of stuff; tie it together, make the head here, paint in the nose, two eyes etc.—healthy children far prefer to play with these than with ‘lovely’ dolls, because here is something left over for their fantasy; whereas the most magnificent doll, with red cheeks etc., leaves nothing over for the fantasy to do. The fine doll brings inner desolation to the child. (Tr. Dr. Steiner demonstrated what he was saying with his own pocket handkerchief.) Now, in what way can we draw out of a child the things he makes? Well, when children of our VIth class in the school come to produce things from their own feeling for form, they look like this,—as you can see from this small specimen we have brought with us. (Wooden doll.) The things are just as they grow from the individual fantasy of any child. It is very necessary, however, to get the children to see as soon as possible that they want to think of life as innately mobile not innately rigid. Hence, when one is getting the child to create toys,—which for him are serious things, to be taken in earnest,—one must see to it that the things have mobility. You see a thing like this—to my mind a most remarkable fellow—(carved bear)—children do entirely themselves, they also put these strings on it without any outside suggestion,—so that this chap can wag his tongue when pulled: so (bear with attached strings). Or children bring their own fantasy into play: they make a cat, not just a nice cat, but as it strikes them: humped, without more ado and very well carried out. I hold it to be particularly valuable for children to have to do, even in their toys, with things that move,—not merely with what is at rest, but with things which involve manipulation. Hence children make things which give them enormous joy in the making. They do not only make realistic things, but invent little fellows like these gnomes and suchlike things (Showing toys). They also discover how to make more complicated things like this; they are not told that this is a thing that can be made, only the child is led on until he comes to make a lively fellow like this of his own accord. (Movable raven. ‘Temperaments Vogel’)—now you can see he looks very depressed and sad. (The head and tail of the temperament bird can be moved up or down. Dr. Steiner had them both up at first, and then turned them both down.) And when a child achieves a thing like this (a yellow owl with movable wings) he has wonderful satisfaction. These things are done by children of 10, 11, 12, 13 and 14 years old. So far only these older ones have done it, but we intend to introduce it gradually into the younger classes, where of course the forms will be simpler. Now we have further handwork lessons in addition to this handicraft teaching. And here it should be borne in mind that throughout the Waldorf School boys and girls are taught together in all subjects. Right up to the highest class boys and girls are together for all lessons. (durcheinandersitzen: i.e.=sit side by side, or beside each other.) So that actually, with slight variations of course (and as we build up the higher classes there will naturally have to be differentiation)—but on the whole the boys actually learn to do the same things as the girls. And it is remarkable how gladly little boys will knit and crochet and girls do work that is usually only given to boys. This has a social result also: Mutual understanding between the sexes, a thing of the very first importance to-day. For we are still very unsocial and full of prejudice in this matter. So that it is very good when one has results such as I will now proceed to show. In Dornach we had a small school of this kind. Now in the name of Swiss freedom it has been forbidden, and the best we can do is to undertake the instruction of more advanced young ladies and gentlemen; for Swiss freedom lays it down that no free schools shall exist in competition with state schools.—Well, of course, such a thing is not a purely pedagogical question.—But in Dornach we tried for a time to run a small school of this nature, and in it boys and girls did their work together. This is a boy's work; it was done in Dornach by a little American boy of about nine years old. (Tea cosy; Kaffee Warmer.) This is the work of a boy not a girl. And in the Waldorf School, as I have said, boys and girls work side by side in the handwork lessons. All kinds of things are made in handwork. And the boys and girls work together quite peaceably. In these two pieces of work, for instance, you will not be able to decide without looking to the detail what difference is to be seen between boys' and girls' work. (Two little cloths). Now in the top classes which, at the present stage of our growth, contain boys and girls of 16 and 17, we pass on to the teaching of spinning and weaving as an introduction to practical life for the children, so that they may make a con-tact with real life; and here in this one sphere we find a striking difference: the boys do not want to spin like the girls, they want to assist the girls. The girls spin and the boys want to fetch and carry, like attendant knights. This is the only difference we have found so far, that in the spinning lesson the boys want to serve the girls. But apart from this we have found that the boys do every kind of handwork. You will observe that the aim is to build up the hand-work and needlework lesson in connection with what is learned in the painting lesson. And in the painting lesson the children are not taught to draw (with a brush) or make patterns (‘Sticken’). But they learn to deal freely and spontaneously with the element of colour itself. Thus it is immensely important that children should come to a right experience of colour. If you use the little blocks of colour of the ordinary paint box and let the child dip his brush in them and on the palette and so paint, he will learn nothing. It is necessary that children should learn to live with colour, they must not paint from a palette or block, but from a jar or mug with liquid colour in it, colour dissolved in water. Then a child will come to feel how one colour goes with another, he will feel the inner harmony of colours, he will experience them inwardly. And even if this is difficult and inconvenient—sometimes after the painting lesson the class-room does not look its best, some children are clumsy, others not amenable in the matter of tidiness—even if this, way does give more trouble, yet enormous progress can be made when children get a direct relation to colour in this way, and learn to paint from the living nature of colour itself, not by trying to copy something in a naturalistic way. Then colour mass and colour form come seemingly of their own accord upon the paper. Thus to begin with, both at the Waldorf School and at Dornach, what the children paint is their experience of colour. It is a matter of putting one colour beside another colour, or of enclosing one colour within other colours. In this way the child enters right into colour, and little by little, of his own accord he comes to produce form from out of colour. As you see here, the form arises without any drawing intervening, from out of the colour. (showing paintings by Dornach children). This is done by the some-what more advanced children in Dornach, but the little children are taught on the same principle in the Waldorf School Here, for instance, we have paintings representative of the painting teaching in the Waldorf School which shows the attempt to express colour experience. Here, what is attempted, is not to paint some thing, but to paint experience of colour. The painting of something can come much later on. If the painting of something is begun too soon a sense for living reality is lost and gives place to a sense for what is dead. If you proceed in this way, when you come to the treatment of any particular object in the world it will be far livelier than it would be without such a foundation. You see children who have previously learned to live in the element of colour, can make the island of Sicily, for instance, look like this, (coloured map) and we get a map. In this way, artistic work is related to the geography teaching. When the children have acquired a feeling for colour harmony in this way they come on to making useful objects of different kinds. This is not first drawn, but the child has acquired a feeling for colour, and so later he can paint or shape such a thing as this book cover, or folio. The important thing is to arouse in the child a real feeling for life. And colour and form have the power to lead right into life. Now sometimes you find a terrible thing done: the teacher will let a child make a neckband, and a waist band and a dress hem, and all three will have on them the very same pattern. You see this sometimes. Naturally it is the most horrible thing in the world to an artistic instinct. The child must be taught very early that a band designed for the neck has a tendency to open downwards, it has a downward direction; that a girdle or waistband tends in both directions, (i.e. both upwards and downwards); and that the hem of the dress at the bottom must show an upward tendency away from the bottom. Hence one must not perpetrate the atrocity of teaching the child simply to make an artistic pattern of one kind on a band, but the child must learn how the band should look according to whether it is in one position or another on a person. In the same way, one should know when making a book cover, that when one looks at a book, and opens it so, there is a difference between the top and the bottom. It is necessary that the child should grow into this feeling for space, this feeling for form. This penetrates right into his limbs. This is a teaching that works far more strongly into the physical organism, than any work in the abstract. Thus the treatment of colour gives rise to the making of all kinds of useful objects; and in the making of these the child really comes to feel colour against colour and form next to form, and that the whole has a certain purpose and therefore I make it like this. These things in all detail are essential to the vitality of the work. The lesson must be a preparation for life. Now among these exhibits you will find all sorts of interesting things. Here, for instance, is something done by a very little girl, comparatively speaking. I cannot show you everything in the course of this lecture, but I would like to draw your attention to the many charming objects we have brought with us from the Waldorf School. You will find here two song books composed by Herr Baumann which will show you the kind of songs and music we use in the Waldorf School. Here are various things produced by one of the girls—since owing to the customs we could not bring a great deal with us—in addition to our natural selves. But all these things are carried out plasticly, are modelled, as is shown here. You see the children have charming ideas: (apes); they capture the life in things; these are all carved in wood. (Showing illustrations of wood-carving by children of the Waldorf School reproduced by one of the girls.) You see here (maps) how fully children enter into life when the principle from which they start is full of life. You can see this very well in the case of these maps: first they have an experience of colour and this is an experience of the soul. A colour experience gives them a soul experience. Here you see Greece experienced in soul. When the child is at home in the element of colour, he grows to feel in geography: I must paint the island of Crete, the island of Candia in a particular colour, and I must paint the coast of Asia Minor so, and the Peleponesus so. The child learns to speak through colour, and thus a map can actually be a production from the innermost depths of the soul. Think what an experience of the earth the child will have when this is how he has seen it inwardly, when this is how he has painted Candia or Crete or the Peleponesus or Northern Greece; when he has had the feelings which go with such colours as these; then Greece itself can come alive in his soul the child can awaken Greece anew from his own soul. In this way the living reality of the world becomes part of a man's being. And when you later confront the children with the dry reality of everyday life they will meet it in quite a different way, because they have had an artistic, living experience of the elements of colour in their simple paintings, and have learned to use its language. |
306. The Child's Changing Consciousness and Waldorf Education: Lecture I
15 Apr 1923, Dornach Tr. Roland Everett Rudolf Steiner |
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For example, you may have witnessed—I am not implying that as teachers you have actually carried out this experiment yourselves, for present company is always excluded when negative assertions are being made—you may have witnessed how the rotation of the planets around the Sun was graphically illustrated even to a class of young children. A piece of cardboard is cut into a disc and its center is pierced with a pin. A drip of oil is then put onto its surface before the disc is floated on water. |
306. The Child's Changing Consciousness and Waldorf Education: Lecture I
15 Apr 1923, Dornach Tr. Roland Everett Rudolf Steiner |
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At the opening of this conference, I want to extend my warmest greetings to you all. Had you come some four or five months earlier, I would have welcomed you in the building we called the Goetheanum, which stood over there. The artistic forms of its architecture and its interior design would have been a constant reminder of what was intended to go out into the world from this Goetheanum. However, the misfortune that befell us on New Year's night and inflicted such grievous pain on all who loved this building, has robbed us of the Goetheanum. And so, for the time being, we shall have to nurture the spirit—without its proper earthly home—that would have reigned within this material, artistic sheath. It gives me great joy to welcome those of you who have come from Switzerland, and who have displayed, through your coming, real evidence of your interest in our educational goals, even though they have been received recently in Switzerland with enmity. With equal joy and gratification I want to welcome the many friends of Waldorf Education—or those wishing to become its friends—who have come from Czechoslovakia. Your presence confirms to me that education involves one of the most crucial questions of our time, and that it will receive the impetus it needs and deserves only if it is seen in this light by the various members of the teaching profession. Furthermore, I welcome those of you who have come from other countries, and who show, through your presence, that what is being worked toward here in Dornach is not just a matter of cosmopolitan interest, but is also a matter of concern for all of humanity. And finally I want to greet our friends, the teachers of the Waldorf School. Their primary goal in coming here is to contribute to this conference from their own personal experience. They are deeply connected with our cause, and expressed the wish to support this conference. This is greatly appreciated. Today, as an introduction, I want to prepare the ground for what will concern us during the next few days. Education is very much in the news today, and many people connected with educating the young are discussing the need for reform. Many different views are expressed—often with considerable enthusiasm—about how education should go through a change, a renewal. And yet, when hearing the various ideas on the subject, one cannot help feeling a certain trepidation, because it is difficult to see how such different views could ever lead to any kind of unity and common purpose, especially since each viewpoint claims to be the only valid one. But there is another reason for concern. New ideas for education do not cause undue concern in themselves, for the necessities of life usually blunt the sharp edges, causing their own compensations. When one hears nearly everyone call for a renewal in education, yet another problem comes to mind—that is, where does this praiseworthy enthusiasm for better education spring from? Isn't it prompted by people's memories of unhappy childhood days, of their own deep-seated memories of an unsatisfactory education? But as long as the call for educational reform comes only from these or similar feelings, it merely serves to emphasize personal discontent with one's own schooling. Even if certain educational reformers would not admit this to themselves or to others, by the very nuance of their words they imply dissatisfaction with their own education. And how many people today share this dissatisfaction! It is little wonder if the call for a change in education grows stronger every day. This educational dilemma, however, raises two questions, neither of which is comforting. First, if one's education was bad, and if as a child one was exposed to its many harmful effects, how can one know what constitutes proper educational reform? Where can better ways of educating the young be found? The second question arises from listening to what certain people say about their own education. And here I want to give you a practical example because, rather than presenting theories during this conference, I want to approach our theme in practical terms. A few days ago a book appeared on the market that, in itself, did not draw my particular interest. Nevertheless it is interesting because in the first few chapters the author, an outstanding person who has become world-famous, speaks very much about his early school days. I am referring to the memoirs of Rabindranath Tagore,1 which have just been published. Although I do not have the same interest in this person that many Europeans do, in regard to educational matters his memoirs do contain some noteworthy and pertinent details. I am sure that you would agree that the most beautiful memories of one's early school days—however wonderful these may have been—will hardly consist of fragmentary details of what happened in certain lessons. Indeed, it would be sad if this were so, because what affects children during lessons should become transformed into life habits and skills. In later life we should not be plagued by the details of what we once learned at school, for these must flow together into the great stream of life. Couldn't we say that our most beautiful recollections of school are concerned with the different teachers we had? It is a blessing if, in later years, one can look back with deep, inner satisfaction at having been taught by one or another admired teacher. Such an education is of value for the whole of one's life. It is important that teachers call forth such feelings in their pupils; this also belongs to the art of education. If we look at some of the passages in Tagore's memoirs from this perspective, we find that he does not talk of his teachers with much reverence and admiration. To quote an example, he says, “One of our teachers in the elementary school also gave us private lessons at home. His body was emaciated, his face desiccated, and his voice sharp. He looked like a veritable cane.” One might easily imagine—especially here in our Western civilization, often criticized strongly in the East—that the wrongs of education would hardly be so vehemently emphasized by an Asian. But here you have an example of how an Eastern personality, now world-famous, looks back at his school days in India. And so I shall use a word that Tagore also mentions in his book—that is, “miserable school.” The meaning of this expression is not confined to European countries, but seems to express a worldwide cultural problem. Later on we shall have to say much more about what teachers must do to kindle genuine interest for what they bring to their pupils. But now I shall give you another example from Tagore's memoirs of how his English teacher approached this task. Tagore writes, “When I think back on his lessons, I cannot really say that Aghor Babu was a hard taskmaster. He did not rule us with the cane.” To us, such a remark would point to times long past, long superseded. The fact that Tagore speaks so much in his book about the cane indicates something we would consider culturally primitive. I believe that such a comment is justified when reading Tagore's description, not just about one of his teachers “looking like a veritable cane,” but also when he points out that another teacher actually did not use the cane. Speaking of this other teacher, Tagore continues, “Even when reprimanding us he did not shout at us. But, whatever his positive sides may have been, his lessons were given in the evening, and his subject was English. I am sure that even an angel would have appeared to a Bengali boy like a true messenger of Mamas (The God of Death), had he come to him in the evening after the `miserable school' of the day, kindling a comfortless, dim lamp, in order to teach English.” Well, here you have an example of how a famous Indian speaks about his education. But Tagore also writes about how each child brings certain needs to education. He points out in a very practical way how such needs should be met, and how this did not happen in his case. I will leave it to you to interpret this situation in Western terms. To me it seems very good to look at such matters from a global perspective, matters that—if quoted in a European context—could very well arouse strong criticism. Tagore continues: From time to time Aghor Babu tried to introduce a refreshing scientific breeze into the dry routine of the class room. One day he pulled from his pocket a little parcel wrapped in paper, saying, “Today I want to show you one of the Creator's wonderful works of art.” Unwrapping the paper, he showed a human larynx, which he used to explain to us the wonders of its mechanism. I still remember the shock this gave me, for I had always thought that speech came from the entire human being. I did not have the slightest inkling that the activity of speaking could thus be isolated from the whole human organism. However perfect the mechanism of each single part might be, surely it would always amount to less than the complete human being. Not that I consciously realized this, but at the bottom of my feelings it was distasteful. The fact that the teacher had lost sight of such a truth must have been the reason why his pupil could not share in his enthusiasm for this kind of demonstration. Well, this was the first shock when the nature of the human being was introduced to the boy. But another one, worse still, was to follow. Tagore continues: On another occasion he took us into the dissecting room of the local medical school.2 The corpse of an old woman was lying on a table. This in itself did not particularly disturb me. But an amputated leg, which was lying on the floor, completely threw me off my balance. The sight of a human being in such a state of fragmentation seemed so dreadful, so utterly lacking in sense to me, that I could not shake off the impression of this dark and expressionless leg for many days to come. This example illustrates the reaction of a young person introduced to anatomy. Fundamentally speaking, this procedure is adopted in education only because it is in line with the orthodox scientific approach. And since the teacher has indeed gone through scientific training, it is naturally assumed to be a wonderful idea to demonstrate the mechanics of human speech with a model of the larynx, or to explain physiological anatomy with the aid of an amputated leg, for contemporary scientific thinking does not consider it necessary to look at the human being as a whole. However, these are not yet the primary reasons for selecting certain passages from Tagore's memoirs—of which we will say more later on, not because of their connection with Tagore, but because they belong to the theme of our conference. First, I want to make another point. Anyone judging Tagore's literary merits will correctly recognize in him an outstanding individual. In the autobiography of this distinguished author we read about his dreadful education. Doesn't this encourage a strange thought—that his poor education did not seem to harm his further development? Couldn't one conclude that a thoroughly bad education doesn't necessarily inflict permanent or serious harm? For did Tagore not demonstrate that despite this, he was able to grow into a good, even a famous person? (Examples like this could be multiplied by the hundreds, though they may be less spectacular.) Considering the myriad impulses for educational reform, one could easily be pulled in two directions. On the one hand, how can anyone possibly be in a position to improve education if one has had the misfortune of suffering from a bad one? On the other hand, if “miserable school” has not prevented someone from becoming, not just a good, but even a great and famous person, then a bad education cannot do permanent harm. Is there any point in lavishing so much care on attempts to improve education? From a superficial perspective, one might conclude that it would be better to occupy oneself with matters that are more useful than educational reform. If anthroposophy, which has been much maligned, were merely to offer even more ideas for educational reform, as is generally done, I would not even consider it worthwhile to attempt these in practice. But in reality, anthroposophy is something very different from what most people imagine it to be, for it springs from the deepest needs of our present culture. Anthroposophy does not proceed, as so many of its enemies do, by shamefully denigrating everything that does not agree with its own principles. Anthroposophy is more than prepared to recognize and acknowledge what is good, wherever it is found. More of this later, for, as I have said already, today's content is intended only as an introduction. Anthroposophy points to the importance of the scientific achievements of the last three to four centuries and, above all, to those of the nineteenth century, all of which it fully recognizes. At the same time, however, anthroposophy also has the task of observing how these great scientific successes affect the human soul. It would be foolish to think that the ideas of a relatively few scientifically trained experts have little consequence for society as a whole; for even people who know little or nothing about science are influenced by contemporary science in their soul mood and in their life's orientation. Even people of a strictly orthodox religious faith, born of tradition and habit, nevertheless owe their world orientation to the results of orthodox science. The attitude of modern people is colored increasingly by the scientific view with all its tremendous achievements, which cannot be praised highly enough. Yet the constitution of the human soul has been strangely affected by modern science. Having revealed more and more of outer nature, science has, at the same time, alienated human beings from themselves. What happens when the human being is observed from a scientific perspective? Our attention is drawn first to what has already been discovered very thoroughly in the inert, lifeless world. Then the human being is analyzed according to physiological and chemical components and what was established in the laboratories is then applied to the living human being. Or else our attention is directed to other realms of nature, to the plant and animal kingdoms. Here scientists are fully aware that they have not been able to establish laws as convincing as those applied to inorganic nature. Nevertheless—at least in the animal realm—what has been discovered is then also related to the human being. This is the reason why “the man in the street” sees the human being as the final evolutionary stage of animals. The evolutionary ladder of the animal species ends with the emergence of the human being. The animals are understood up to a certain point. Their bony structures or muscular configurations are then simply transferred to the human being who, as a result, is considered to represent the most developed animal. As yet, no true picture of the human being has arisen from these methods, and this will become poignantly clear to us when we focus on education. One could say that whereas in earlier times human beings occupied a central position within the existing world order, they have been displaced, crushed by the weight of geological data, and eliminated from their own sphere by the theory of animal evolution. Merely to trace back one of the ossicles of the human middle ear to the square-bone (Quadratbein) of a lower animal is praised as real progress. This is only one small example, but the way human physical nature reflects the soul and spiritual nature seems to have been entirely disregarded by modern research. This kind of thing easily escapes notice, because the orthodox approach is simply taken for granted. It is a by-product of our modern culture, and properly so. Indeed, it would have been a sad situation if this change had not occurred, for, with the soul attitude that prevailed before the age of science, humanity could not have progressed properly. Yet today a new insight into human nature is called for, insight based on a scientific mode of thinking, and one that will also shed light on the nature of the entire universe. I have often tried to show how the general scientific viewpoint—which in itself, can be highly praised—nevertheless can lead to great illusions, simply because of its innate claims of infallibility. If one can prove science wrong on any specific point, the whole thing is relatively simple. But a far more difficult situation arises when, within its own bounds, a scientific claim is correct. Let me indicate what I mean. What led to a theory such as that of Kant-Laplace?3 Using this theory—which has been modified recently, and is known to practically every educated person—scientists attempt to explain the origin of our Earth and planetary system. In their calculations, some of these scientists went back over long periods of time. When one scientist spoke of some twenty million years, soon enough he was considered naïve by others who spoke in terms of two hundred million years. Then other scientists began to calculate the length of time of certain processes taking place on Earth today. This is a perfectly correct thing to do, because from a strictly material point of view there is nothing else one can do. Sedimentation or metamorphosis of rocks was observed and, from the data gained, a picture was built up that explained certain changes, and the length of time involved was then calculated. For example, if the waters of Niagara Falls have been falling on the rocks below for such and such a period of time, one can calculate the degree of erosion of these rocks. If one now transfers this calculation to another spot somewhere else where considerably more erosion has been found, one can calculate the time this must have required through simple multiplication. Using this method, one might arrive at, let's say, twenty million years, which is quite correct as far as the calculation is concerned. Similarly, one may start with the present time and, according to another well-known theory, calculate the time it will take for the Earth to become subject to heat death, and so on. Yet, such a procedure might equally well be applied to a very different situation. Observe, for example, how the human heart changes from year to year. Noting the differences, one could investigate—following the same method applied in the case of Niagara Falls—how this heart must have looked some three hundred years ago, and what it would look like some three hundred years from now. Technically speaking, this method would be analogous to that of determining the times of geological changes and in this sense it would be correct. Observing the heart of a person aged about thirty-five, one would be basing one's calculations on an organ that has been functioning for a considerable length of time. However, one obvious detail has been overlooked—that this particular heart did not exist three hundred years ago, nor will it be there three hundred years from now. Though mathematically speaking the calculation is correct, it has no relationship to reality. In our current intellectual age we are too preoccupied with whether or not something is correct, whether or not it is logically correct; but we have lost the habit of asking whether it conforms to actual real-life situations. We will confront this problem again and again this week. But it can happen sometimes that, when we follow apparently correct theories, even fundamental issues are simply overlooked. For example, you may have witnessed—I am not implying that as teachers you have actually carried out this experiment yourselves, for present company is always excluded when negative assertions are being made—you may have witnessed how the rotation of the planets around the Sun was graphically illustrated even to a class of young children. A piece of cardboard is cut into a disc and its center is pierced with a pin. A drip of oil is then put onto its surface before the disc is floated on water. When the pin is twirled around to rotate the floating disc, little droplets of oil will shoot off at a tangent, making “little planets”—little oil planets—and in this way a most convincing model of a planetary system has been fabricated. Needless to say, this experiment is supposed to prove the accuracy of the Kant-Laplace theory. Well, as far as one's own morality is concerned, it is virtuous enough to be self-effacing, but in a scientific experiment of this sort, the first requirement is certainly not to omit any essential detail—however small—and to include all existing criteria. And isn't the teacher spinning the disc the most important factor involved? Therefore, this hypothesis would make sense only if it were assumed that, long, long ago, a gigantic schoolmaster once twirled round an immense world-pin, thus spinning our entire planetary system! Otherwise one should not use such a hypothetical experiment. And so, many elements of an unrealistic soul attitude can be detected where science appears to be most correct, where its findings cannot be contested. Consequently these elements of error easily creep into education. For those who teach are inevitably a product of their own time, and this is as it should be. When they come across such geological calculations or astronomical analogies, everything seems to fit together very nicely. Sometimes one cannot help but feel amazed at the incredible ingenuity of scientific interpretations that, despite their apparent power of conviction, nevertheless, can lead us away from reality. However, as educators we must never deviate from actual reality. In teaching, we face reality all the time, and this must spur us on to greater knowledge of human nature as it really is. In a certain sense this failure to penetrate human nature has already crept into modern-day educational thinking and practice. I would like to illustrate this point with an example. Whenever you are dealing with children in the classroom, you will find that some are more gifted in one or another subject than others. Most of you will be familiar with the current thoughts and methods regarding this problem. I am referring to them here only to establish mutual understanding. There are different degrees of abilities in children. And how are these dealt with, especially in today's most progressive centers for educational science? From your study of educational literature you probably know about the so-called correlation coefficients recently introduced in schools. According to this method, the correlation coefficient one is written down if a pupil shows an equal aptitude for two different subjects. (Such a thing actually never occurs, but hypothetically it is simply assumed.) If, on the other hand, a natural gift exists for two subjects that are mutually incompatible, the correlation coefficient zero is given. The idea of this method is to test and measure the pupils' various gifts. For example, you may find that drawing and writing carry the correlation coefficient of, let us say, .7. This means that more than half the children who are gifted in drawing also have a natural skill for writing. One also looks for correlation coefficients in other combinations of talents. For example, writing is linked to a pupil's ability to deal with the mother tongue and, in this case, the correlation coefficient is .54. Arithmetic and writing carry the correlation coefficient of .2, arithmetic and drawing .19, and so on. From this it can be seen that arithmetic and drawing are the least compatible partners, whereas writing and drawing are matched most frequently. A natural gift for both the mother tongue and for drawing is found to be equally present in approximately fifty percent of the pupils. Please note that, on principle, I do not object to this kind of scientific research. It would be wrong to declare that such things should not be investigated. As a matter of fact, I find these things extraordinarily interesting. I am not in the least against such experimental or statistical methods of psychology. But if their results are directly implemented in education, it is as if you were to ask someone to become a painter without mentioning the importance of having to deal with color. It is as if one were to say instead to such a person, “Look, here is a good book on esthetics. Read the chapter about painting and, in itself, that will make you into a good painter.” A well-known painter in Munich once told me a story that I have quoted several times. While he was a student at the local arts school, Carriere, [Moritz Carriere (1817–1895) German thinker; published Aesthetics in 1815.] the famous professor of esthetics, was lecturing in Munich. One day the painter and some of his fellow students decided to go and see this famous expert who also lectured on painting. But one visit was enough for them, because, as they put it, all he did was “crow with esthetic delight.” This is how it strikes me if people think they can benefit their educational practice with the kind of thing mentioned above. Though these experiments may be interesting from a scientific perspective, something very different is needed for the practical classroom situation. It is necessary, for example, that teachers can penetrate human nature so deeply that they can recognize the origin of the skills for drawing and writing within the inner functions, or recognize what enables a pupil to speak the mother tongue well. To achieve such a faculty, a living observation of the human being is required, which eventually may lead one to discover how specific capacities flow out of some children for, let us say, drawing or the skill for their native language. Here, statistics are of little use. One must take a cue from what children reveal of themselves. At most, such statistical evidence may serve as an interesting confirmation afterward. Statistics do have their value, but to believe that they are tools for educational practice only shows the degree of one's alienation from real human nature. Today, many people look at statistics as a key to understanding human beings. In certain areas of life this is justified. It is possible to build a statistical picture of the human being, but such a picture will not allow us to understand the human being in depth. Think, for instance, of how useful statistics are in their appropriate sphere, such as in insurance. If I want to take out a life insurance policy, I will be asked how old I am, and I must give evidence for the state of my health, and so on. From such data the level of my premium can be worked out very neatly, depending on whether I happen to be a youngster or an old fogy. My life expectancy is then calculated and these details meet exactly the needs of the insurance business. But what if, in my thirty-seventh year, I had taken out a life insurance policy for, let us say, twenty years? Would this make me feel obliged to die at the age of fifty-seven, simply because of what was calculated on paper? To enter fully into the stream of life is something very different from following certain established criteria, however logically correct they may be, or however beneficial they may be in their proper sphere. When considering the question of aptitude for writing and drawing in children who have recently entered school, one must remember that they have reached the stage of their second dentition. In the coming lectures you will hear more about the different stages of children's development, and about how their ages can be divided into three groups: the period from birth to the change of teeth; from the second dentition to puberty; and the time following puberty. Later we shall go into more detail about what happens in children during these three periods. For now let us consider this question of writing and drawing. Science, having scrutinized so minutely the three kingdoms of nature that surround us, now transfers the knowledge gained to the human being. Knowledge of the outer world and the mode of thinking about outer nature now becomes the key to understanding the human individual. And yet, if one observes the human being within the human sphere, one will come to recognize the true situation. One only needs the courage to do so with the same accuracy and objectivity used to study outer nature. Current research shows such courage only when observing external nature, but shrinks from applying the same methods in the study of the human being. Let's look at how the child develops from birth to the change of teeth. This change of teeth is a unique event in life, inasmuch as it occurs only once in life. Now, if you can experience something similar to the feelings Tagore expressed when he saw the amputated leg, you will realize that what is revealed in the change of teeth does not just happen in the jaws, but encompasses the entire human being. You will feel that something must be pervading the whole child until around the age of seven, and that some activity must reach a climax in the change of teeth. This activity is there in its original form until the seventh year, and then it is no longer present in its original state. When studying physics, for example, scientists have the courage to speak of latent heat as distinct from the various forms of liberated heat. According to this concept, there must be some form of heat that cannot be determined with a thermometer, but can be measured after it has been released. When characterizing these phenomena that occur in nature, scientists have shown courage in their interpretations. However, when the human being becomes the object of study, this courage is no longer there. Otherwise they would not hesitate to state: What has been working until the seventh year in the child, working toward liberation during the change of teeth, must have been connected with the physical organism before becoming freed and reappearing in a different guise as the child's inner soul properties. This same process can also be recognized in other areas of the child's bone formation. One would realize that these newly emerging powers must be the same, although transformed, as what had been active previously in the child's physical organism. Only courage is needed to look at the human being with the same cognitive powers used to study outer nature, but modern science will not do this. However, if we do this, our attention is drawn toward all that belongs to the bony system, to everything that hardens the human form to give it structure and support. Orthodox physiology might eventually go this far—if not today, then certainly in due time. The most important branches of science are going through considerable changes just now, and the time will come when they will follow the course indicated. But something else must also be considered. In later years, the child will be introduced to many different subjects, such as geometry. In today's intellectual age, one has an abstract concept of three-dimensional space, to choose a very simple example. One imagines: three lines at right angles to one another hovering about in space and extending to infinity. It is possible to form such a concept abstractly, but in such a case it is not inwardly experienced. And yet, three-dimensional space wants to be experienced as reality. This does happen in a young child, although unconsciously, at the crawling stage when, losing its balance time and again, it will eventually learn to acquire the upright position and achieve equilibrium in the world. Here we have a case of actual experience of three-dimensional space. This is not merely a question of drawing three lines in space, because one of these three dimensions is identical with the human upright position (which we can test by no longer assuming it—that is, by lying horizontally or sleeping). This upright position signals the most fundamental difference between the human being and the animal, because, unlike the human backbone, the animal's spinal column runs parallel to Earth's surface. We experience the second dimension unconsciously every time we stretch our arms sideways. The third dimension moves from our front toward the back. In reality these three dimensions are experienced concretely as above and below, right and left, forward and backward. What is done in geometry is merely an abstraction. Human beings do experience with their bodies what is shown in geometrical constructions, but only during the age when they are still largely unconscious and dreamy. Later on, these experiences rise into consciousness and assume abstract forms. With the change of teeth, the forces that cause an inner firmness, an inner consolidation and support, have reached a certain climax. From the moment when the child can stand upright until the inner hardening processes manifest in the change of teeth, the child inwardly tries, although unconsciously, “body geometry” as an activity akin to drawing. When the teeth change, this becomes a soul activity—that is, it enters the realm of the child's soul. We might understand this transformation better through an analogy; just as a sediment falls to the bottom when a chemical solution cools, and leaves the upper part clearer, so there is also a physiological aspect to the hardening process—the sediment, as well as its counterpart: the clear solution within the child's soul realm, which manifests as a faculty for geometrizing, for drawing, and so on. After this period, we can see the child's soul qualities streaming outward. Just think about how such a discovery engenders real interest in the human being. We shall observe this streaming out in greater detail, and how it is reflected back again, later on. In this respect everything in life is linked together. What we do to the child not only has an immediate effect, but influences the whole lifetime. Only a few people are prepared to observe a human life as a whole, but most focus their attention on present circumstances only. This is the case, for example, when one creates an experiment concerned only with the present. On the other hand, have you ever observed how the mere presence of some old people can be like a blessing for the others present? They need not even say a word. Goodness radiates from their presence simply through what they have become. And if you now search the biography of such old people, you may find that when they were children they learned to feel reverence quite naturally, without any outer compulsion. I could say equally that they learned how to pray, by which I mean praying in its widest sense, which includes a deep respect and admiration for another human being. I would like to express this thought in the form of a picture. Those who have not learned to fold their hands in prayer during childhood, cannot spread them in blessing in old age. The different phases of life are all interconnected and it is of great importance in education to take this into full account. We learn a great deal about the child when we recognize how soul forces well forth after they have completed their task of working in the physical body up to the end of the first seven-year period. Psychologists have made the strangest hypotheses about the interplay of soul and body, whereas one period of life actually sheds light on another. What we can see in the child between the change of teeth and puberty will tell us something about the soul forces previously engaged in working within the child's physical realm. Facts speak for themselves and shed light on one another. Think of how such things will stimulate interest in education! And genuine interest in the human being is needed in education today. Far too many people think about the relationship of body and soul—or of soul and body—only in abstract terms. And because so little of real value has emerged, a rather amusing theory has been formulated—that is, the theory of the so-called psycho-physical parallelism. According to this theory, processes of soul and body run side by side on a parallel course. There is no need to bother about points of intersection, no need to bother about the relationship between body and soul at all, because they supposedly meet at infinity! That is why this theory sounds like a joke. However, if one allows the guidance of practical experience, one can discover the actual interrelationship between body and soul. One only needs to look over a person's whole life-span. Let us take the example of someone who develops diabetes or rheumatism at a certain age. When trying to find a remedy for such an illness, usually only the present conditions are considered; this, in itself, is quite justified. It is certainly proper to make every effort to heal a sickness whenever it occurs. But if one surveys the whole life of the patient, one may discover that many times diabetes is due to a memory that was overtaxed or developed in the wrong way between the change of teeth and puberty. Health during later years is largely conditioned by the way a person's soul life was developed during childhood. The way a child's memory is trained will affect the metabolism after a certain period of time. For example, if undigested vestiges of memory remain in the soul of a child between seven and fourteen, they will be released approximately between the ages of thirty-five and forty-five as physical residues, which can then lead to rheumatism or diabetes. It is not an understatement to suggest that teachers should have at least a modicum of medical knowledge at their disposal. It is not right for them to leave everything concerning the child's health to the school doctor, who usually doesn't even know the children. If any profession in our time requires a wider background, education needs it most of all. This is what I wanted to tell you as an introduction to our conference theme, so that you can judge for yourselves when you hear people say that anthroposophy now dabbles also in education, whereas others believe that it has something valid to say on the subject. Those who are ready to listen will not be swayed by those who have the opinion that there is no real need for education, or that there is no point in discussing it simply because their own experiences in this area have been so frustrating. Anthroposophy begins with an entirely different attitude. It does not simply want to correct old ideas, but begins with a true picture and knowledge of the human being, because, in keeping with human progress, these things have become necessary today. If you go back to the earlier forms of education, you will discover that they have all arisen from the general culture of their time, from the universal nature of human feelings and experiences. We must rediscover a universal approach, flowing from human nature itself. If I had my way, I would give anthroposophy a new name every day to prevent people from hanging on to its literal meaning, from translating it from the Greek, so they can form judgments accordingly. It is immaterial what name we attach to what is being done here. The only thing that matters is that everything we do here is focused on life's realities and that we never lose sight of them. We must never be tempted to implement sectarian ideas. And so, looking at education in general, we encounter the opinion that there are already plenty of well-considered educational systems; but since we are all suffering so much from the intellectualism of our times, it would be best if the intellect were banished from education. This is very correct, but then it is concluded that, instead of developing a science of education, again we should appeal to our inherent pedagogical instincts. However desirable this may sound, it is no longer possible today because humankind has moved to a further stage of development. The healthy instincts of the past are no longer with us today. A new and unbiased look at education has to be backed by fully conscious cognition, and this is possible only if our understanding can penetrate the very nature of the human being. This is what anthroposophy is all about. One more point: intellectualism and abstractions are rampant today to the degree where there is a general feeling that children should be protected from an education that is too intellectual, that their hearts and feelings should also be educated. This is entirely correct, but when looking into educational literature and current practice, one cannot help noticing that such good intentions are not likely to go very far because, once again, they are formulated in a theoretical and abstract way. It is even less clear that this request should be made, not just on behalf of the child, but should be addressed also to the teachers and, most of all, to the pedagogical principles themselves. To do this is my goal. We must not give mere lip service when stating how we wish to educate the heart of the child and not just the intellect, but we should ask ourselves how we can best meet this challenge. What do we have to do so that education can have a heart again?
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306. The Child's Changing Consciousness and Waldorf Education: Lecture II
16 Apr 1923, Dornach Tr. Roland Everett Rudolf Steiner |
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The activities of the legs, in a certain way, have the effect of producing in the physical and soul life a stronger connection with what is of the nature of beat, of what cuts into life. In the characteristic attunement of the movements of right and left leg, we learn to relate ourselves to what lies below our feet. |
306. The Child's Changing Consciousness and Waldorf Education: Lecture II
16 Apr 1923, Dornach Tr. Roland Everett Rudolf Steiner |
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To begin with we will try to understand more fully the nature of the growing human being, bearing in mind the later stages in life, in order to draw conclusions about education from our findings. Knowledge of the human being made possible through anthroposophical research—as outlined briefly yesterday—fundamentally differs from the findings of modern science and other research. The knowledge of the human being produced by our contemporary civilization is based mainly on what remains when the human spirit and part of the human soul are ignored. Such knowledge rests on what can be found, both anatomically and physiologically, when one looks at a corpse. Furthermore, it is supported by investigations into pathological changes, due to illness or other causes, from which conclusions are drawn with regard to the healthy human being. What is gained through this approach then forms the background for the attitude from which judgments are made regarding the living, healthy human being. The anthroposophical approach begins by looking at the human being as an entity, an organization of body, soul, and spirit. It attempts to comprehend the human being not in an abstract and dead way, but through a living mode of observation that can recognize and comprehend with living concepts the human totality of spirit, soul, and body. This approach enables us to perceive accurately the various metamorphoses that take place during a lifetime. Children are different beings depending on whether they are going through the development between birth and change of teeth, or between the second dentition and puberty—the latter period being the time when they are in the care of the class teacher—or during the stage following puberty. Human beings are completely different creatures depending on which of these three stages they are going through. But the differences are so deeply hidden that they escape a more external form of observation. This external method of observation does not lead to a clear perception and judgment of how body, soul, and spirit are permeated by spirit in entirely different ways during each of the first three periods of life. It would surely not be proper for teachers to first acquire theoretical knowledge and then to think: What I have learned in theory I will now apply in my teaching in one way or another. With this attitude they would only distance themselves from the child's true being. Teachers need to transform their knowledge of the human being into a kind of higher instinct whereby they can respond properly to whatever comes from each individual child. This is another way that anthroposophical knowledge of the human being differs from the usual kind, and can lead to a routine approach to education at best, but not to a firmly founded pedagogical sense and teaching practice. To achieve this, one's knowledge of human nature must be capable of becoming pedagogical instinct the moment one has to deal with a child, so that in response to all that comes from the child one knows instantly and exactly what must be done in every single case. If I may use a comparison, there are all kinds of theories about what we should eat or drink, but in ordinary life we do not usually follow such theoretical directions. We drink when thirsty and eat when hungry, according to the constitution of the human organism. Eating and drinking follow a certain rhythmical pattern for good reasons, but usually one eats and drinks when hungry or thirsty; life itself sees to that. Now, knowledge of the human being, which forms the basis of a sound and practical way of teaching, must create in the teachers, every time they face a child, something like the relationship between hunger and eating. The teachers' response to a given pedagogical situation has to become as natural as satisfying a sensation of hunger by eating. This is only possible if knowledge of the human being has permeated flesh and blood as well as soul and spirit, so that you intuitively know what needs to be done every time you face a child. Only if your knowledge of human beings has such inner fullness that it can become instinctive can it lead to the proper kind of practical teaching. It will not happen on the basis of psychological experiments leading to theories about pupils' powers of memory, concentration, and so on. In that case, intellectual ideas are inserted between theory and practice. This presents an unreal situation that externalizes all educational methods and practice. The first thing to be aimed for is a living comprehension of the child in all its pulsing life. Let's look now at young children as they grow into earthly life. Let our observations be straightforward and simple, and we shall find that there are three things with which they have to come to terms, three activities that become a decisive factor for the entire life to come. These are what are simply called walking, speaking, and thinking. The German poet Jean Paul—this is the name he gave himself—once said: “The human being learns more for the whole of life during the first three years than he does during his three years at university.”1 This is entirely true; it is a fact. For even if academic studies nowadays extend over longer periods of time, their gain for life amounts to less than what is acquired for the whole of life during the time when children are learning how to walk, speak, and think. What does it actually mean when we say the child is learning to walk, speak, and think? The capacity to walk comprises far more than is generally realized. It is by no means simply a case of the young child—after the stage of crawling—managing to stand up and take the first steps in order to develop what will eventually become an individual and characteristic way of walking. An inner adjustment underlies learning to walk; there is an inner orientation of the young child. The equilibrium of the organism, with all its possibilities for movement, becomes related to the equilibrium and all the possibilities for movement of the whole universe, because the child stands within it. While learning to walk, children are seeking to relate their own equilibrium to that of the entire cosmos. They are also seeking the specifically human relationship between the activities of arms and hands and those of the lower limbs. The movements of arms and hands have a special affinity to the life of the soul, while those of the legs lag behind, serving more the physical body. This is of immense importance for the whole of later life. The differentiation between the activities of legs and feet and those of arms and hands represents the human quest for balance of soul that is lifelong. When raising themselves up, young children are first of all seeking physical balance. But when freely moving arms and hands, they are also seeking balance of soul. There is infinitely more than meets the eye hidden behind what is commonly called “learning to walk,” as everyone can find out. The expression “learning to walk” signifies only the most obvious and outwardly important aspect perceptible to our senses. A deeper look at this phenomenon would make one wish to characterize it in the following way. To learn to walk is to learn to experience the principles of statics and dynamics2 in one's own inner being and to relate these to the entire universe. Better still, to learn to walk is to meet the forces of statics and dynamics both in body and soul and to relate these experiences to the whole cosmos. This is what learning to walk is all about. But through the fact that the movements of arms and hands have become emancipated from those of the legs and feet, something else has happened. A basis has been created for attaining a purely human development. Thus, the child who is learning to walk adapts itself outwardly to the external, visible world with its own rhythms and beat, as well as inwardly with its entire inner being. So you see that something very noteworthy is woven into the development of the human being. The activities of the legs, in a certain way, have the effect of producing in the physical and soul life a stronger connection with what is of the nature of beat, of what cuts into life. In the characteristic attunement of the movements of right and left leg, we learn to relate ourselves to what lies below our feet. And then, through the emancipation of the movements of our arms from those of our legs, a new musical and melodious element is introduced into the beat and rhythm provided by the activities of our legs. The content of our lives—or one might say, the themes of our lives—comes to the fore in the movements of our arms. Their activity, in turn, forms the basis for what is being developed when the child is learning to speak. Outwardly, this is already shown through the fact that with most people, the stronger activity of the right arm corresponds to the formation of the left speech organ. From the relationship between the activities of legs and arms, as you can observe them in a freely moving human being, yet another relationship comes into being. It is the relationship that the child gains to the surrounding world through learning to speak. When you look at how all this is interconnected and belongs together, when you see how in the process of sentence formation the legs are working upwards into speech, and how the content, the meaning of words, enters into the process of sound production—that is, into the inner experience of the structure of the sentences—you have an impression of how the beat-like, rhythmical element of the moving legs works upon the more musical-thematic and inward element of the moving arms and hands. Consequently, if a child walks with firm and even steps, if its walk does not tend to be slovenly, you have the physical basis—which, naturally, is a manifestation of the spirit, as we shall see later—for a good feeling for the structure of both spoken and written sentences. Through the movement of the legs, the child learns to form correct sentences. You will also find that if a child has a slouching gait, it will have difficulties finding the right intervals3 between sentences, and that the contours of its sentences become blurred. Likewise, if a child does not learn to move its arms harmoniously, its speech will become rasping and unmelodious. In addition, if you cannot help a child to become sensitive in its fingertips, it will not develop the right sense for modulation in speech. All this refers to the time when the child learns to walk and talk. But something else can also be detected. You may have noticed that in life the proper timing of certain processes is sometimes disturbed, that certain phases of development make their appearance later than one would expect according to the natural course of development. But in this context you can also see that the proper sequence of events can be safeguarded if children are encouraged to learn to walk first, that is, if one can possibly avoid having children learn to speak before they can walk. Speech has to be developed on the basis of the right kind of walking and of the free movement of the arms. Otherwise, children's speech will not be anchored in their whole being. Instead, they will only babble indistinctly. You may have come across some people whose speech sounded not unlike bleating. In such a case, not enough attention was paid to what I have just tried to characterize. The third faculty the child must learn on the basis of walking and speaking is thinking, which should gradually become more and more conscious. But this faculty ought to be developed last, for it lies in the child's nature to learn to think only through speaking. In its early stages, speaking is an imitation of the sounds that the child hears. As the sounds are perceived by the child in whom the characteristic relationship between the movements of the legs and arms is deeply rooted, it learns intuitively to make sense of the sounds that it imitates, though without linking any thought to what it has heard. At first, the child only links feelings to the sounds coming toward it. Thinking, which arises later, can develop only out of speech. Therefore, the correct sequence we need to encourage in the growing child is learning to walk, learning to speak, and finally, learning to think. We must now enter a bit more deeply into these three important processes of development. Thinking, which is—or ought to be—the last faculty developed, always has the quality of mirroring, or reflecting, outer nature and its processes. Moral impulses do not originate in the sphere of thinking, as we all know. They arise in that part of the human being we call the conscience, about which we shall have more to say later on. In any case, human conscience arises in the depths of the soul before penetrating the sphere of thinking. The faculty of thinking, on the other hand, that we acquire in childhood, is attuned only to perceiving the essence of outer nature and its processes. Thus all of the child's first thinking is aimed at creating images of outer nature and its processes. However, when we turn to learning to speak, we come across quite a different situation. With regard to the development of this faculty, present-day science has been able to make only tentative observations. Orthodox science has achieved quite wonderful results, for instance in its investigations into the animal world. And when it compares its findings with what happens in a human being, it has made many discoveries that deserve our full recognition. But with regard to the comprehension of the processes taking place when a child is learning to speak, contemporary science has remained rather in the dark. The same applies to animal communication through sound. And here a key question needs to be answered first. In order to speak, the human being uses the larynx and other speech organs. The higher animals also possess these organs, even if in a more primitive form. If we disregard certain animals capable of producing sounds that in some species have developed into a kind of singing, but think instead of animals that emit only very primitive sounds, an obvious question comes to mind (and I raise this question not only from a causal, but also from quite a utilitarian point of view). Why should such animals have a larynx with its neighboring organs, since these are used for speech only by the human being? Though the animal is not capable of using them for speaking, they are there nevertheless, and this even very markedly. Comparative anatomy shows that even in relatively dumb animals—dumb in comparison with the human being—organs of this kind exist. It is a fact that these organs, at least to a certain extent, have possibilities destined to be realized only by the human being. Though incapable of making use of these organs for speech, the animal nevertheless possesses them. What is the meaning of this? A more advanced physiology will come to discover that the animal forms of the various species depend, in each case, upon the animal's larynx and its neighboring organs. If, for instance, a certain animal grows into a lion, the underlying causes have to be looked for in its upper chest organs. From there, forces are radiating out that create the form of a lion. If an animal grows into a cow, the cause of this particular form is to be found in what becomes the speech organ in the human being. From these organs, the forces creating the animal forms radiate. One day this will have to be studied in detail in order to learn how to approach morphology more realistically. Then one will find out how to correctly study animal forms, how to grasp the nature of the upper chest organs and the way these pass over into the organs of the mouth. For it is from this region that forces radiate creating the entire animal form. Human beings form these organs into speech organs on the basis of their upright walk and freely moving arms. They take in what works through sound and speech from their surroundings—if we are dealing with present times. And what is it they absorb in this way? Think of how the potential to give form to the entire human organism lies in these organs. This means that if, for instance, a child hears an angry or passionate voice, if it is surrounded by loud and ill-tempered shouting, it will absorb something the animal keeps out. The animal lets itself be shaped only by the larynx and its neighboring organs, but members of the human species allow vehement or passionate voices to enter their inner being. These sounds flow into the human form, right into the structure of the most delicate tissues. If children hear only gentle speech in their surroundings, this too flows right into the structure of their finest tissues. It flows into their very formation, and especially so into the more refined parts of their organization. The coarser parts are able to withstand these influences, as in the case of the animal. But whatever is taken in through speech flows into the finer parts of the child's organization. This is how the differing organizations of the various nations come about. They all flow out of the language spoken. The human being is an imprint of language. You will therefore be able to appreciate what it means that in the course of human evolution so many people have learned to speak several languages. It has had the effect of making such people more universal. These things are of immense importance for the development of humankind. <And so we see how during the early period of childhood the human being is inwardly predisposed, right down to the blood circulation, by what comes from the environment. These influences become instrumental for the orientation of a person's thought life. What happens in a human being through learning to speak is something I ask you to consider most seriously. This human faculty might best be understood in its essence by comparing it with animal development. If an animal could express what lives in its forming and shaping, emanating from its upper chest organs, it would have to say, My form conforms with what streams from my upper chest and mouth organs, and I do not allow anything to enter my being that would modify this form. So would the animal speak if it were able to express this relationship. The human being, on the other hand, would say, I adapt the upper organs of my chest and mouth to the world processes that work through language, and I adjust the structure of my innermost organization accordingly. The human being adapts the most inward physical organization to what comes from the surroundings through language, but not the outer organization, which develops in a way similar to that of animals. This is of immense importance for an understanding of the entire human being. For out of language, the general orientation of thought is developed, and because of this the human being during the first three years of life is given over entirely to what comes from the outer world, whereas the animal is rigidly enclosed within itself. For this reason, the way that we find our relationship during these three years to statics and dynamics, then to speech, and finally to thinking, is of such profound importance. It is essential that this process develops in the right way. No doubt you are all aware that this can happen in the most varied ways in each individual human being. On what does it depend that these processes take their prper course? It depends on many things. But the most fundamental factor during the first stage of childhood is the right relationship between the child's times of sleeping and waking. This means that we have to acquire an instinctive knowledge of how much sleep a child needs and how long it should be awake. For example, suppose that a child sleeps too much, relatively speaking. In this case it will develop a tendency to hold back in the activity of its legs. If a child gets too much sleep, inwardly it will lose the will to walk. It will become lethargic in its walking, and, because of this, it will also become lazy in its speech. Such a child will not develop a proper flow in its speech and it will speak more slowly than it should according to its natural disposition. When we meet such a person in later life—unless this imbalance has been put right during the subsequent school years—we sometimes despair because he or she gives us the opportunity, one might say, to go for a little walk between every two words spoken. There are such people who have difficulties in finding their way from one word to the next. And if we come across them and look at their childhood, we will find that when they were learning to walk, they were allowed to sleep too much. Now let us take the case of a child whose parents or those in charge did not ensure that it had the relatively long hours of sleep appropriate to its age. The inner being of such a child is incapable of gaining the necessary control over its leg movements. Instead of walking normally, the child will have a floppy gait. In its speech, instead of controlling the sequential flow of words with the forces of the soul, it will let the words fall out of its mouth. The words of the sentences will not cohere. This is quite different from the case of a child who has difficulties in finding the right words. Here an overabundance of speech energy prevents it from getting from one word on to the next. Thus, in the instance mentioned previously, I was referring to the opposite, namely to a lack of the necessary energy. The words, as they follow each other, are not carried along by the flow of the soul; instead, the child waits for the right moment to “click in” the next word. If this reaches extreme proportions, the result is stammering. If one finds a tendency toward stammering in people, especially in their twenties and thirties, one can be sure that as young children they were not given enough sleep. From this you can see how knowledge of the human being can give us the fundamentals of what needs to be done. Now let us consider the entire human organism and see how during the first three years it adapts itself to earthly conditions of life, how it allows the principles of statics and dynamics, underlying the faculty of autonomous movement, to flow into what is produced through shaping the air in speech. In this process there is much more involved that is of consequence for the development of thinking. Compare this situation with that of an adult, and you will see that in the child there is a much stronger working together of these inner dynamics—of walking, fidgeting, movements of arms, and creating mental images. In the child all this flows together into a unity far more than in the adult. The child remains a far more homogeneous being than a grown-up in other respects as well. If, for instance, we as adults suck a sweet (which we really shouldn't do), this merely amounts to a titillation of the tongue, for the sweet taste does not go much further than that. But the child is in a different position. There the taste continues to spread. Children don't tell us this and we don't notice it; nevertheless, the taste continues to have an effect upon the child. Many among you will surely have observed how, according to their individual makeup, certain children are strongly permeated by soul and spiritual forces and how this quality comes to outer expression in them. It is far more interesting to watch the arms and legs of such a lively child than its mouth, when it is standing some distance away from a table where there is a bowl full of sugar. What the mouth says is more or less obvious, but the way such a child develops desire right down to its toes, or in the arms, as it steers toward the sugar bowl: you can clearly see it is not just a matter of the tongue anticipating sweetness, but changes are taking place throughout the entire being of the child. Here, tasting flows throughout the whole human being. If you enter into these things without preconceptions, you will come to realize that the young child, in a certain sense, is really just one great sense organ. Mainly this is so during the very first years (and more generally so between birth and the change of teeth) and is, naturally, less so in later years. What has become localized in the sense organs on the periphery of the human body in the adult, permeates the child's entire organism. Of course, you must understand these things with a certain discernment, but fundamentally they are real. Their existence is so real that orthodox physiology will one day be able to prove them with regard to the most conspicuous of all our sense organs, namely the human eye. People come to me quite frequently and ask, Considering the present state of science, what would you recommend as a suitable theme for a thesis? (Theses, too, belong to the chapter on “school misery.”) If such a question is asked by students of physiology, I refer them to a topical problem. I tell them to observe the developmental phases of the human eye as seen in the embryo, and then to compare these with the corresponding phases of the entire embryo from its germinal stage onward. This will lead them to a kind of inverted parallel between the eye and the whole embryo as its development progresses. They will discover that, in a certain way, the eye begins its development later, it omits the first stages. In contrast, the embryo as an entity never reaches its final stage—as the eye does—but stops short beforehand. This points to something of great significance for embryology. If one looks at the whole development of the embryo, one will come to recognize that in these beginning stages we may observe ideal stages that exist only as an indication. The eye continues to develop into a perfected sense organ, whereas the embryo remains behind in its development only to continue its further growth later on. But the situation in the young child is still one where, in its entire soul and spiritual development, the child's senses are poured out, as it were, over all of its corporeality. In a certain way the child is entirely a sense organ and it confronts the world as such. This has to be borne in mind, not only with regard to educational matters, but concerning everything that is happening in the child's environment before the change of teeth. We shall go into questions relating to more practical methods of teaching at a later stage. But it is only if one can see the fundamentals in the right light that one will be able to find the correct answers to particular human questions. One of these has been handed to me, which is of extraordinary importance for anyone who does not merely look at human evolution from external and well-known aspects of history. As you know, in the past, as you know, there was far more discussion of sin and original sin than is customary today. Now I do not wish to go into this question in detail, I only want to outline what this expression implied to those who studied such questions as we study general scientific subjects today (not in its present popular sense where such matters have undergone a certain coarsening). To those inquiring minds, original sin stood for all inherited characteristics.4 This means that what a person had inherited from his or her forebears was considered to represent original sin. Such was the actual concept of this expression; only later on was it changed to what we associate it with today. In earlier times, it was definitely felt that physical features inherited from one's ancestors gave rise to sinfulness. And what do we say today? We not only believe in studying inherited characteristics most carefully, but we even encourage their cultivation! If an earlier form of science had been asked to judge the modern attitude, it would have responded, With all your progress you have managed to come up with a most extraordinary principle—you have actually taught society to cultivate what is of sinful origin in the human being! Because we know of historical events only from what is rather superficially recorded in history books, we do not notice such subtle changes of interpretation. However, if you look into what I have told you today—namely how the child, through its relationship to dynamics and statics, through learning to speak and to think, adapts itself to the environment—then you will be able to distinguish between the part played by purely physical heredity and that of the environmental influences, which are far stronger than is generally realized. Often we hear it said that someone has inherited a particular trait from either the father or the mother, whereas in reality it is simply the result of imitating a certain way of walking, or a characteristic gesture of hands, or a specific manner of speaking, from those close to the person in his or her early childhood. The child's total surrender to the influences of the environment is what is of preeminent importance during the first years and not heredity as such. In their proper place, theories of heredity have their justification, but these also need to be seen within the context of what I said yesterday, when speaking about soft ground into which footmarks were imprinted. If now some hypothetical Martian were to appear on the Earth, a being unacquainted with the human race, it might explain the origin of these footprints in the following way: Certain forces have pushed up the Earth, more in some places and less in others, which has caused the configuration of these footmarks. This is how some people would explain the nature of the human soul on the basis of heredity and as a result of the working of the brain. Just as the footprints have been pressed into the Earth from outside, so have environmental influences, experienced during the childhood stage of imitation, through learning to walk, speak, and think, been imprinted in the body, and particularly so in the brain and the nervous system. What orthodox physical psychology maintains is perfectly correct. The brain is a clear imprint of what the human individual is as a being of soul. One only has to know that the brain is not the cause, the creator of the soul element, but the ground on which the soul develops. Just as I cannot walk without the ground under my feet, neither can I, as a physical being, think without a brain. This is obvious. But the brain is no more than the ground into which the activities of thinking and speaking imprint what is received from the surrounding world. It is not a matter of heredity. Perhaps now you can see that people tend to have only unclear notions about what is happening in the child during these first three “nonacademic” years. During that time, to a large extent, the foundations are being laid for a person's whole inner life and configuration. I have already spoken of how thinking, which develops later, turns toward the outer world. It forms images of the natural world and its processes. But the faculty of speaking, which is developed earlier, absorbs—at least in nuances and in modified form—what lives spiritually in language. And language, coming from the child's environment, works upon the child's soul. Through language we take in from our surroundings what we make our own in the realm of the soul. The entire soul atmosphere of our surroundings permeates us through the medium of language. And we know that the child is one great sense organ; we know that inner processes are inaugurated through these soul impressions. So that, for example, if a child, is frequently exposed to the outbursts of an over-choleric father who utters his words as if in constant anger, it will inwardly experience its father's entire soul background through the way he forms his words. And this has an effect not only on the child's soul, but, through the atmosphere of anger surrounding it, causes the activity of fine glandular secretions to increase as well. Eventually, the glands of such a child become accustomed to an enhanced activity of secretion, and this can affect the whole life of such a child. Unless these harmful influences are balanced through the right kind of education later on, a tendency will develop toward nervous anxieties in any angry atmosphere. Here you have an example of how a certain soul condition directly enters and affects the physical organization. The attempt is often made to comprehend the relationship between the human soul and body, but a fact such as this, where during the first period of life a physical condition directly manifests itself as a symptom in the realm of the soul, simply goes unnoticed. And now, while the child enters into the realm of statics and dynamics working through its surroundings, it does something unconsciously that is of great importance. Think for a moment of how much trouble it means for many an older pupil to learn the laws of statics and dynamics and to apply them, even if only in the field of mechanics. The young child does this unconsciously. It incorporates statics and dynamics into its entire being. Anthroposophical research shows us that what most accomplished experts in the field of statics and dynamics manage to think out for the external world is child's play compared with the way the child incorporates these complicated forces while learning to walk. It does so through imitation. Here is an opportunity to observe the strange outer effects of imitation in just this situation. You can find many examples in life. I will give you one. There once were two girls of roughly the same age, who could be seen walking side by side. This case happened many years ago, in a town in central Germany. When they walked next to each other, they both limped with one leg. While both were performing the same limb movements, they displayed a marked difference between the movements of their more mobile right arms and right fingers and a somewhat paralyzed way they carried their left arms and left fingers. Both children were exact copies of each other. The slightly younger one was a true copy of the older one. And yet, only the older sister had a damaged left leg. Both legs of the younger one were perfectly normal. It was only by sheer imitation that she copied the movements of her handicapped sister. You can find similar cases everywhere, though many of them, being less conspicuous, may easily escape your notice. When a child learns to walk, when it makes the principles of statics and dynamics its own, it takes in the spirit in its environment. One could formulate it in this way: In learning to walk, we take hold of the soul element of our milieu. And in what the child ought to learn first after entering earthly life, it takes hold of the spirit in its surroundings. Spirit, soul, and body—spirit, soul, and nature—this is the right order in which the surrounding world approaches the human being. But as we take hold of the soul element in our surroundings, we also lay the foundations for our future sympathies and antipathies in life. These flow into us quite unnoticed. The way we learn to speak is, at the same time, also the way we acquire certain fundamental sympathies and antipathies. And the most curious aspect of it all is that whoever is able to develop an eye for such matters (an eye of the soul, of course) will find in the way a child walks—whether it does so more with the heel or with the toes, whether it has a firm footstep or whether it creeps along—a preparation for the moral character the child will develop in later life. Thus, we may say that together with the spiritual element the child absorbs while learning to walk, there also flows into it a moral element emanating from the environment. And it is a good thing if one can learn to perceive how the characteristic way a child moves its legs portends its moral character, whether it will develop into a morally good or bad person. For the most naturalistic quality belongs to what we take in through our thinking during childhood. What we absorb through language is already permeated by an element of soul. What we make our own through statics and dynamics is pervaded by moral and spiritual powers. But here statics and dynamics are not of the kind we learn about in school; here they are born directly out of the spirit. It is most important to look at these matters in the right way, so that one does not arrive at the kind of psychology that is based primarily on physical aspects. In this kind of psychology one reads in fair detail what the author has managed to establish in the first thirty pages of print, only to find that relevant aspects of the soul are stuck on artificially. One must no longer speak today of the human spirit, since an Ecumenical Council abolished it, declaring that the human being does not consist of body, soul and spirit, but only of body and soul, the latter having certain spiritual properties.5 The trichotomy of the human being was dogmatically forbidden during the Middle Ages, and today, our contemporary “unbiased” science begins its psychology with the declaration that the human being consists of body and soul only. Blissfully unaware of how little “unbiased” its findings are, it is still adhering to medieval dogmatism. The most erudite university professors follow this ancient dogma without having the slightest notion of it. In order to arrive at an accurate picture of the human being, it is essential to recognize all three constituent parts: body, soul, and spirit. Materialistic minds can grasp only human thinking—and this is their tragedy. Materialism has the least understanding of matter because it cannot see the spirit working through matter. It can only dogmatize—there is only matter and its effects. But it does not know that everywhere matter is permeated with spirit. If one wants to describe materialism, one has to resort to a paradoxical definition. Materialism is the one view of the world that has no understanding of what matter is. What is important is to know exactly where the borderlines are between the phenomena of body, soul, and spirit, and how one leads over into the other. This is of special importance with regard to the child's development during the first period of life.
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306. The Child's Changing Consciousness and Waldorf Education: Lecture IV
18 Apr 1923, Dornach Tr. Roland Everett Rudolf Steiner |
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For example, children of preschool age are told to make parallel cuts in strips of paper and then to push multi-colored paper strips through the slits so that a woven colored pattern finally emerges. |
For a leg is only a leg as long as it is part of a whole organism. If cut off, it ceases to be a leg. Such things have to become flesh and blood again so that, by progressing from the whole to the parts, we comprehend reality. |
306. The Child's Changing Consciousness and Waldorf Education: Lecture IV
18 Apr 1923, Dornach Tr. Roland Everett Rudolf Steiner |
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In our previous meetings I have tried to direct you into what we understand as knowledge of the human being. Some of what is still missing will surely find its way into our further considerations during this conference. I have also told you that this knowledge of the human being is not the kind that will lead to theories, but one that can become human instinct, ensouled and spiritual instinct that, when translated into actions, can lead to living educational principles and practice. Of course, you must realize that in giving lectures of this kind, it is only possible to point the way, in the form of indications, to what such knowledge of the human being can do for the furtherance of practical teaching. But just because our primary goal is toward practical application, I can give only broad outlines, something that is very unpopular these days. Few people are sufficiently aware that anything expressed in words can, at best, be only a hint, a mere indication of what is far more complex and multifarious in actual life. If we remember that young children are essentially ensouled sense organs, entirely given over in a bodily-religious way to what comes toward them from the surrounding world, we shall see to it that, until the change of teeth, everything within their vicinity is suitable to be received through their senses, thereafter to be worked on inwardly. Most of all, we have to be aware that whenever the child perceives with the senses, at the same time the child also absorbs the inherent moral element of what is perceived through the soul and spirit. This means that at the approach of the change of teeth, we have already set the scene for the most important impulses of later life, and that when the child enters school, we are no longer faced with a blank page but with one already full of content. And now that we are moving more toward the practical aspects of education, we have to consider that between the change of teeth and puberty nothing entirely original can be initiated in the child. Instead, it is the teacher's task to recognize the impulses already implanted during the first seven years. They have to direct these impulses toward what is likely to be demanded of the pupils in their later lives. This is why it is of such importance for teachers to be able to perceive what is stirring within their pupils; for there is more here than meets the eye in these life-stirrings when children enter school. Teachers must not simply decide what they are going to do, or which method is right or wrong. It is far more important for them to recognize what is inwardly stirring and moving in these children—in order to guide and develop them further. Naturally, this is bound to raise a question, which we have thus far been unable to answer in the Waldorf school since it has not yet become practical to open a kindergarten. The work entailed in bringing up and educating children from birth until the change of teeth is certainly most important. But since in the Waldorf school we are already facing great difficulties in coping with the demands involved in teaching children of official school age, we cannot possibly think of opening a kindergarten, because every year we also have to open a new class for our oldest pupils.1 So far we have started with an eight-year course in the Waldorf school. At present we could not possibly entertain the idea of also opening a kindergarten, or something similar, as a preparatory step for our first grade. People who take a somewhat lighthearted view of these things may be of the opinion that the only thing needed is to begin with a nursery or kindergarten, and the rest will surely follow. But things are not that simple. A fully comprehensive, yet detailed program is needed that covers both the pedagogical and practical aspects of teaching in a nursery class. To devote oneself to such a task is impossible as long as a new class has to be added every year. The seriousness and responsibility involved in the so-called movements for school reform is recognized by far too few people. To unprofessional, although well-meaning persons, it seems enough to voice demands, which are easy enough to make. In our day, when everybody is so clever—I am not being sarcastic, I am quite serious—nothing is easier than to formulate demands. All that is needed in our society, which is simply bursting with cleverness, is for eleven or twelve people—even three or four would be brainy enough—to come together to work out a perfect program for school reform, listing their requirements in order of priority. I have no doubt that such theoretical demands would be highly impressive. These programs, compiled in the abstract today in many places, are very cleverly conceived. Because people have become so intellectual, they excel in achievements of an external and abstract kind. But if one judges these matters out of real life experience and not intellectually, the situation is not unlike one where a number of people have come together to discuss and decide what the performance of an efficient stove should be. Obviously they would come up with a whole list of “categorical imperatives,” such as that the stove must be capable of heating the room adequately, it must not emit smoke, and so on. But, though the various points made may be convincing enough, knowledge of them alone would hardly result in the necessary know-how to light it, keep it going, and control its heat. To be able to do this one has to learn other things as well. In any case, depending on the location of the room, the condition of the chimney and possibly on other factors as well, it may not even be possible to fulfill the conditions so competently set forth. But this is how most of the programs for school reform are arrived at today—more or less in an equally abstract manner as the requirements for the hypothetical stove. This is the reason why one cannot contravene them, for they no doubt contain much that is correct. But to cope with the practical needs of an existing school is something very different from making demands that, ideally speaking, are justified. Here one does not have to deal with how things ought to be, but with a number of actual pupils. Here one has to deal—allow me to mention it, for it is all part of school life—with a definite number of teachers of varying gifts and abilities. All this has to be reckoned with. There is no problem in planning a program for school reform in the abstract. But the concrete reality is that only a certain number of gifted teachers are available and it may not even be possible for them to fulfill the demands agreed upon in theory. This fundamental difference between life as it is and an intellectual approach to it is something our present society is no longer able to appreciate. Because it has become so accustomed to an intellectual interpretation of life, it can no longer perceive this quality, least of all where it is most patently present. Anyone who is aware of the great difference between theory and practice will detect the worst excesses of impractical theories in our present business life. In reality the structure of today's business life has become as theoretical as can be. Those in control grasp power with robust hands. They use their elbows and often brutally push through their theoretical policies. This goes on until the business is ruined. In the economic sphere it is possible to proceed intellectually. But in a situation where one meets life in the raw, such as in a school (where it is not simply a case of helping oneself, but where existing impulses have to be worked on) even the most beautiful theories are of little use unless they offer the possibility of working pragmatically and out of a truly individual knowledge of what the human being is. This is the reason why teachers whose heads are full of pedagogical theories are usually least fit for practical classroom situations. More capable by far are those who still teach out of a certain instinct, teachers who, out of their natural love for children, are able to recognize and to meet them. But today it is no longer possible to rely on instinct, unless it is backed by spiritual knowledge. Modern life has become too complex for such a way of life, which would be possible only under more primitive conditions, under conditions almost bordering on the level of animal life. All this has to be considered if one wishes to see what is being presented here in the right light, as a really practical form of pedagogy. Generally speaking, education has followed in the footsteps of our modern civilization, which has gradually become more and more materialistic. A symptom of this is the frequent use of mechanical methods in preference to organic methods, and this just during the early years of childhood up to the change of teeth, which is the most impressionable and important time of life. We must not lose sight of the fact that up to the second dentition the child lives by imitation. The serious side of life, with all its demands in daily work, is re-enacted in deep earnestness by the child in its play, as I mentioned yesterday. The difference between a child's play and an adult's work is that an adult's contribution to society is governed by a sense of purpose and has to fit into outer demands, whereas the child wants to be active simply out of an inborn and natural impulse. Play activity streams outward from within. Adult work takes the opposite direction, namely inwards from the periphery. The significant and most important task for grade school consists in just this gradual progression from play to work. And if one is able to answer in practical terms the great question of how a child's play can gradually be transformed into work, one has solved the fundamental problem during those middle years from seven to fourteen. In their play, children mirror what happens around them; they want to imitate. But because the key to childhood has been lost through inadequate knowledge of the human being, all kinds of artificial play activities for children of kindergarten age have been intellectually contrived by adults. Since children want to imitate the work of the adults, special games have been invented for their benefit, such as “Lay the Little Sticks,” or whatever else these things are called. These artificial activities actually deflect the child's inner forces from flowing out of the organism as a living stream that finds a natural outlet in the child's desire to imitate those who are older. Through all kinds of mechanical manipulations children are encouraged to do things not at all suitable to their age. Particularly during the nineteenth century, programs for preschool education were determined that entailed activities a child should not really do; for the entire life of a preschool class revolves around the children adapting to the few people in charge, who should behave naturally so that the children feel stimulated to imitate whatever their teachers do. It is unnecessary for preschool staff to go from one child to another and show each one what to do. Children do not yet want to follow given instructions. All they want is to copy what the adult does, so the task of a kindergarten teacher is to adjust the work taken from daily life so that it becomes suitable for the children's play activities. There is no need to devise occupations like those adults meet in life—except under special circumstances—such as work that requires specialized skills. For example, children of preschool age are told to make parallel cuts in strips of paper and then to push multi-colored paper strips through the slits so that a woven colored pattern finally emerges. This kind of mechanical process in a kindergarten actually prevents children from engaging in normal or congenial activities. It would be better to give them some very simple sewing or embroidery to do. Whatever a young child is told to do should not be artificially contrived by adults who are comfortable in our intellectual culture, but should arise from the tasks of ordinary life. The whole point of a preschool is to give young children the opportunity to imitate life in a simple and wholesome way. This adjustment to adult life is an immensely important pedagogical task until kindergarten age, with all its purposefulness, so that what is done there will satisfy the child's natural and inborn need for activity. To contrive little stick games or design paper weaving cards is simple enough. It is a tremendously important and necessary task to whittle down our complicated forms of life, such as a child does when, for example, a little boy plays with a spade or some other tool, or when a girl plays with a doll; in this way children transform adult occupations into child's play, including the more complicated activities of the adult world. It is time-consuming work for which hardly any previous “spade-work” has thus far been done. One needs to recognize that in children's imitation, in all their sense-directed activities, moral and spiritual forces are working—artistic impulses that allow the child to respond in an entirely individual way. Give a child a handkerchief or a piece of cloth, knot it so that a head appears above and two legs below, and you have made a doll or a kind of clown. With a few ink stains you can give it eyes, nose, and mouth, or even better, allow the child to do it, and with such a doll, you will see a healthy child have great joy. Now the child can add many other features belonging to a doll, through imagination and imitation within the soul. It is far better if you make a doll out of a linen rag than if you give the child one of those perfect dolls, possibly with highly colored cheeks and smartly dressed, a doll that even closes its eyes when put down horizontally, and so on. What are you doing if you give the child such a doll? You are preventing the unfolding of the child's own soul activity. Every time a completely finished object catches its eye, the child has to suppress an innate desire for soul activity, the unfolding of a wonderfully delicate, awakening fantasy. You thus separate children from life, because you hold them back from their own inner activity. So much for the child until the change of teeth. When children enter school, we are very likely to meet a certain inner opposition, mainly toward reading and writing, as mentioned yesterday. Try to see the situation through a child's eyes. There stands a man. He has black or blond hair. He has a forehead, nose, eyes. He has legs. He walks, and he holds something in his hands. He says something. He has his own thought-life. This is father. And now the child is supposed to accept that this sign, FATHER represents an actual father. There is not the slightest reason why a child should do so. Children bring formative forces with them, forces eager to flow out of the organism. Previously, these forces were instrumental in effecting the wonderful formation of the brain with its attendant nervous system. They accomplished the wonderful formation of the second teeth. One should become modest and ask how one could possibly create, out of one's own resources, these second teeth on the basis of the first baby teeth; what sublime powers of wisdom, of which we are totally unaware, work in all these forces! The child was entirely surrendered to this unconscious wisdom weaving through the formative forces. Children live in space and time, and now, suddenly, they are supposed to make sense of everything that is imposed on them by learning to read and write. It is not proper to lead children directly into the final stages of our advanced culture. We must lead them in harmony with what wants to flow from their own being. The right way of introducing the child to reading and writing is to allow the formative forces—which up to its seventh year have been working upon the physical organization and which now are being released for outer soul activities—to become actively engaged. For example, instead of presenting the child directly with letters or even complete words, you draw something looking like this: In this way, by appealing to the formative forces in its soul, you will find that now the child can remember something that has actual meaning, something already grasped by the child's formative forces. Such a child will tell you, “That is a mouth.” And now you can ask it to say, “Mmmouth.” Then you ask it to leave out the end part of the word, gradually getting the child to pronounce “Mmm.” Next you can say, “Let us paint what you have just said.” We have left something out, therefore this is what we paint: And now let us make it even simpler: It has become the letter M. Or we might draw something looking like this. The child will say, “Fish.” The teacher responds, “Let's make this fish simpler.” Again one will ask the child to sound only the first letter, in this way obtaining the letter F. And so, from these pictures, we lead to abstract letter forms. There is no need to go back into history to show how contemporary writing evolved from ancient pictography. For our pedagogical purposes it is really unnecessary to delve into the history of civilization. All we have to do is find our way—helped along by wings of fantasy—into this method, and then, no matter what language we speak, choose some characteristic words that we then transform into pictures and finally derive the actual letters from them. In this way we work together with what the child wants inwardly during and immediately after the change of teeth. From this you will understand that, after having introduced writing by drawing a painting and by painting a drawing (it is good for children to use color immediately because they live in color, as everyone who deals with them knows), one can then progress to reading. This is because the entire human being is active in writing. The hand is needed, and the whole body has to adapt itself—even if only to a slight degree; the entire person is involved. Writing, when evolved through painting-drawing, is still more concrete than reading. When reading—well, one just sits, one has already become like a timid mouse, because only the head has to work. Reading has already become abstract. It should be evolved by degrees as part of the whole process. But if one adopts this method in order to work harmoniously with human nature, it can become extraordinarily difficult to withstand modern prejudices. Naturally, pupils will learn to read a little later than expected today, and if they have to change schools they appear less capable than the other students in their new class. Yet, is it really justified that we cater to the views of a materialistic culture with its demands concerning what an eight-year-old child should know? The real point is that it may not be beneficial at all for such a child to learn to read too early. By doing so, something is being blocked for life. If children learn to read too early, they are led prematurely into abstractions. If reading were taught a little later, countless potential sclerotics could lead happier lives. Such hardening of the entire human organism—to give it a simpler name—manifests in the most diverse forms of sclerosis later in life, and can be traced back to a faulty method of introducing reading to a child. Of course, such symptoms can result from many other causes as well, but the point is that the effects of soul and spirit on a person's physical constitution are enhanced hygienically if the teaching at school is attuned to human nature. If you know how to form your lessons properly, you will be able to give your students the best foundation for health. And you can be sure that, if the methods of modern educational systems were healthier, far fewer men would be walking around with bald heads! People with a materialistic outlook give too little attention to the mutual interaction between the soul-spiritual nature and the physical body. Again and again I want to point out that the tragedy of the current materialistic attitude is that it no longer understands the material processes—which it observes only externally—and that it no longer recognizes how a moral element enters the physical. Already the way the human being is treated—one could almost say mistreated—by our natural science is likely to lead to misconceptions about what a human being is. You need only think of the usual kinds of illustrations found in contemporary textbooks on physiology or anatomy, where you see pictures of the skeleton, the nervous system, and the blood circulation. The way these are drawn is very suggestive, implying that they are a true representation of reality. And yet, they do not convey the actual facts at all—or at best, only ten percent of them, because ninety percent of the human body consists of liquid substances that constantly flow and, consequently, cannot be drawn in fixed outlines. Now you may say, “Physiologists know that!” True, but this knowledge remains within the circle of physiologists. It does not enter society as a whole, particularly because of the strongly suggestive influence of these illustrations. People are even less aware of something else. Not only does solid matter make up the smallest portion of our physical body, while the largest part by far is liquid, but we are also creatures of air every moment of our lives. One moment the air around us is inside us, and in the next, the air within our body is outside again. We are part of the surrounding air that is constantly fluctuating within us. And what about the conditions of warmth? In reality we have to discriminate between our solid, liquid, gaseous, and warmth organizations. These distinctions could be extended further, but for now we will stop here. It will become evident that meaningless and erroneous ideas are maintained about these matters when we consider the following: If these illustrations of the skeleton, the nervous system, and so on, really represented the true situation—always implying that the human being is a solid organism—if this were really the whole truth, then it would be little wonder if the moral element, the life of the soul, could not penetrate this solid bone matter or this apparently rigid blood circulation. The physical and moral life would require separate existences. But if you include the liquid, gaseous, and warmth organizations in your picture of the individual, then you have a fine agent, a refined entity—for example, in the varying states of warmth—that allows the existing moral constitution to extend also into the physical processes of warmth. If your picture is based on reality, you will come to find this unity between what has physical nature and what has moral nature. This is what you have to remember when working with the growing human being. It is essential to have this awareness. And so it is very important for us to look at the totality of the human being and find our way, unimpeded by generally accepted physiological-psychological attitudes. It will enable us to know how to treat the child who will otherwise develop inner opposition toward what must be learned. It should be our aim to allow our young students to grow gradually and naturally into their subjects, because then they will also love what they have to learn. But this will happen only if their inner forces become involved fully in these new activities. The most damaging effects, just during the age of seven to nine, are caused by one-sided illusions, by fixed ideas about how certain things should be taught. For example, the nineteenth century—but this was already prepared for in the eighteenth century—was tremendously proud of the new phonetic method of teaching reading that superseded the old method of making words by adding single letters—a method that was again replaced by the whole-word method. And because today people are too embarrassed to openly respect old ways, one will hardly find anyone prepared to defend the old spelling method. According to present opinion, such a person would be considered an old crank, because enthusiasm about an old-fashioned spelling method is simply not appropriate. The phonetic and the whole-word method carry the day. One feels very proud of the phonetic method, teaching the child to develop a feeling for the quality of sounds. No longer do young pupils learn to identify separate letters, such as P, N, or R; they are taught to pronounce the letters as they sound in a word. There is nothing wrong with that. The whole-word method is also good, and it sometimes even begins by analyzing a complete sentence, from which the teacher progresses to separate words and then to single sounds. It is bad, however, when these things become fads. The ideas that underlie all three methods are good—there is no denying that each has its merits. But what is it that makes this so? Imagine that you know a person only from a photograph showing a front view. The picture will have created a certain image within you of that person. Now imagine that another picture falls into your hands, and someone tells you that this is the same person. The second picture shows a side view and creates such a different impression that you may be convinced that it could not be the same person. Yet in reality both photographs show the same individual, but from different angles. And this is how it always is in life: everything has to be considered from different angles. It is easy to fall in love with one's own particular perspective because it appears to be so convincing. And so one might, with good reasons, defend the spelling method, the phonetic method, or the whole-word method to the extent that anyone else with an opposite opinion could not refute one's arguments. Yet even the best of reasons may prove to be only one-sided. In real life, everything has to be considered from the most varied angles. If the letter forms have been gained through painting drawings and drawing paintings, and if one has gone on to a kind of phonetic or whole-word method—which is now appropriate because it leads the child to an appreciation of a wholeness, and prevents it from becoming too fixed in details—if all this has been done, there is still something else that has been overlooked in our materialistic climate. It is this: the single sound, by itself, the separate M or P, this also represents a reality. And it is important to see that, when a sound is part of a word, it has already entered the external world, already passed into the material and physical world. What we have in our soul are the sounds as such, and these depend largely on our soul nature. When we pronounce letters, such as the letter M, for example, we actually say “em.” Ancient Greeks did not do this; they pronounced it “mu.” In other words, they pronounced the auxiliary vowel after the consonant, whereas we put it before the consonant. In Middle Europe today, we make the sound of a letter by proceeding from the vowel to the consonant, but in ancient Greece only the reverse path was taken.2 This indicates the underlying soul condition of the people concerned. Here we have a significant and important phenomenon. If you look at language, not just from an external or utilitarian perspective (since language today has become primarily a way of transmitting thoughts or messages, and words are hardly more than symbols of outer things), and if you return to the soul element living in the word—living in language as a whole—you will find the way back to the true nature of the so-called sound; every sound with a quality of the consonant has an entirely different character from a vowel sound. As you know, there are many different theories explaining the origin of language. (This is a situation similar to photographs taken from different angles.) Among others, there is the so-called bow-wow theory, which represents the view that words imitate sounds that come from different beings or objects. According to this theory, when people first began to speak, they imitated characteristic external sounds. For example, they heard a dog barking, “bow-wow.” If they wanted to express a similar soul mood they produced a similar sound. No one can refute such an idea. On the contrary, there are many valid reasons to support the bow-wow theory. As long as one argues only from this particular premise, it is indisputable. But life does not consist of proofs and refutations; life is full of living movement, transformation, living metamorphosis. What is correct in one particular situation can be wrong in another, and vice versa. Life has to be comprehended in all its mobility. As you may know, there is another theory, called the ding-dong theory, whose adherents strongly oppose the bow-wow theory. According to this second theory, the origin of language is explained in the following way: When a bell is struck, the ensuing sound is caused by the specific constitution of its metal. A similar mutual relationship between object and sound is also ascribed to human speech. The ding-dong theory represents more of a feeling into the materiality of things, rather than an imitation of external sounds. Again, this theory is really correct in certain respects. Much could be said for either of these theories. In reality, however, language did not arise exclusively according to the ding-dong theory nor the bow-wow theory, although both theories have elements of truth. Many other related factors would also have to be considered, but each theory, in isolation, gives only a one-sided perspective. There are many instances in our language that exemplify the ding-dong theory, and many others where sound represents an imitation, as in “bow-wow,” or in the “moo” of lowing cattle. The fact is, both theories are correct, and many others as well. What is important is to get hold of life as it actually is; and if one does this, one will find that the bow-wow theory is more related to vowels, and the ding-dong theory related more to consonants. Again, not entirely, however; such a statement would also be one-sided, because eventually one will see that the consonants are formed as a kind of reflection of events or shapes in our environment, as I have indicated already in the little book The Spiritual Guidance of the Individual and Humanity.3 Thus the letter F is formed as a likeness of the fish, M as a likeness of the mouth, or L like leaping, and so on. To a certain extent, the origin of the consonants could be explained by the ding-dong theory, except that it would have to be worked out in finer detail. The vowels, on the other hand, are a way of expressing and revealing a person's inner nature. The forms of the letters that express vowel sounds do not imitate external things at all, but express human feelings of sympathy and antipathy. Feelings of joy or curiosity are expressed, therefore, by the sound EE; amazement or wonder; “I am astonished!” is expressed by AH; A (as in path) expresses “I want to get rid of something that irritates me.” U (as in you) expresses “I am frightened.” I (as in kind) conveys “I like you.” Vowels reveal directly feelings of sympathy and antipathy. Far from being the result of imitation, they enable human beings to communicate likes and dislikes. When hearing a dog's threatening bark, human beings—if their feelings are like those of the dog—adapt their own experiences to the bow-wow sound of the dog, and so on. Vocalizing leads outward from within, whereas forming consonants represents a movement inward from outside. Consonants reproduce outer things. Simply by making these sounds, one is copying outer nature. You can confirm this for yourselves if you go into further detail. Since all of this applies only to sounds rather than words, however, you can appreciate that, when using the analytic method, one is actually going from the whole word to the original soul condition. In general, we must always try to recognize what the child at each stage is requesting inwardly; then we can proceed in freedom—just as a good photographer does when asking clients to look in many different directions in order to capture their personalities while taking their pictures (and thereby making these sessions so tedious!). Similarly, a complete view is essential if one wants to comprehend the human being in depth. With the whole-word method one gains only the physical aspect. With the phonetic method one approaches the soul realm. And—no matter how absurd this may sound—with the spelling method one actually enters the realm of the soul. Today this last method is, of course, seen as a form of idiocy; without a doubt, however, it is more closely related to the soul than the other methods. It must not be applied directly, but needs to be introduced with a certain pedagogical skill and artistry that avoids an overly one-sided exercise in conventional pronunciation of the letters. Instead, the child will gain some experience of how letters came about, and this is something that can live within the formative forces, something real for the child. This is the core of the matter. And if young pupils have been taught in this way they will be able to read in due time—perhaps a few months after the ninth year. It doesn't really matter if they cannot read earlier, because they have learned it naturally and in a wholesome way. Depending on the various children's responses, this stage may occur a little earlier or later. The ninth year marks the beginning of a smaller life cycle—the larger ones have already been spoken of several times. They are: from birth to the change of teeth; from the change of teeth to puberty; and from then into the twenties. These days, however, by the time young people have reached their twenties, one no longer dares speak to them of another developmental phase, which will peak after the age of twenty-one. This would be considered a pure insult! At that age they feel fully mature—they already publish their own articles in newspapers and magazines. And so one has to exercise great discretion in speaking about life's later stages of development. But it is important for the educator to know about the larger life periods and also about the smaller ones contained in them. Between the ninth and the tenth years, but closer to the ninth, one of the smaller periods begins, when a child gradually awakens to the difference between self and the surrounding world. Only then does a child become aware of being a separate I. All teaching before this stage should therefore make the child feel at one with the surroundings. The most peculiar ideas have been expressed to explain this phenomenon. For example, you may have heard people say, “When a young child gets hurt by running into a corner, the reaction is to hit the corner.” An intellectual interpretation of this phenomenon would be that one hits back only if one has consciously received a hurt or an injury consciously inflicted. And this is how the child's response in hitting a table or other object is explained. This kind of definition always tempts one to quote the Greek example of a definition of the human being—that is, a human being is a living creature who has two legs but no feathers. As far as definitions go, this is actually correct. It leads us back into the times of ancient Greece. I won't go into details to show that present definitions in physics are often not much better, because there children are also taught frequently that a human being is a creature that walks on two legs and has no feathers. A boy who was a bit brighter than the rest thought about this definition. He caught a cockerel, plucked its feathers, and took it to school. He presented the plucked bird, saying, “This is a human being! It is a creature that walks on two legs and has no feathers.” Well, definitions may have their uses, but they are almost always one-sided. The important thing is to find one's way into life as it really is—something I have to repeat time and again. The point is that before the ninth year a child does not yet distinguish between self and surroundings. Therefore one cannot say that a little child, when hitting the table that caused it pain, imagines the table to be a living thing. It would never occur to a child to think so. This so-called animism, the bestowal of a soul on an inanimate object—an idea that has already crept into our history of civilization—is something that simply does not exist. The fantastic theories of some of our erudite scholars, who believe they have discovered that human beings endow inanimate objects with a soul, are truly astonishing. Whole mythologies have been explained away in light of this theory. It strikes one that people who spread such ideas have never met a primitive person. For example, it would never occur to a simple peasant who has remained untouched by our sophisticated ways of life to endow natural phenomena with a soul quality. Concepts such as ensouling or animation of dead objects simply do not exist for the child. The child feels alive, and consequently everything around the child must also be alive. But even such a primitive idea does not enter children's dim and dreamy consciousness. This is why, when teaching pupils under nine, you must not let the children's environment and all that it contains appear as something separate from them. You must allow plants to come to life—indeed, everything must live and speak to children, because they do not yet distinguish between themselves and the world as a whole. It is obvious from this that, before the ninth year, you cannot reach children with any kind of intellectual descriptions. Everything has to be transformed into pictures, into fresh and living pictures. As soon as you go on to a more direct description, you will not achieve anything during the eighth to ninth year. This approach becomes possible only later. One has to find the way into each specific life period. Until the ninth year children only understand a pictorial presentation. Anything else bypasses them, just as sound bypasses the eye. But between the ninth and tenth years, as children gradually become more aware of their own identity, you can begin to present more factual descriptions of plants. However, it is not yet possible to describe anything that belongs to the mineral kingdom, because the children's newly evolving capacity to differentiate between self and world is not yet strong enough to allow them to comprehend the significant difference between what is inherently alive and what belongs to the dead mineral world. Children at this stage can only appreciate the difference between themselves and a plant. Thereafter you can gradually progress to a description of animals. But again this has to be done so that the introduction to the animal world remains real for the child. Today there is an established form of botany, and along with that a tendency to introduce this subject just as it is in the lower grades. This is done out of a kind of laziness, but it really is an appalling thing to present the botany of adults to younger classes. What is this botany of ours in actuality? It is made up of a systematic classification of plants, arranged according to certain accepted principles. First come the fungi, then algae, ranunculaceae, and so on—one family placed neatly next to another. But if such a branch of science (which itself may be quite acceptable) is taught to young children in schools, it is almost like arranging different kinds of hairs, plucked from a human body, and classifying them systematically according to where they grew—behind the ears, on the head, on the legs, and so on. Following this method, you might manage to build up a very impressive system, but it would not help you understand the true nature of hair. And because it seems almost too obvious, one might easily neglect to relate the various types of hair to the human being as an entity. The plant world does not have its own separate existence either, because it is part of Earth. You may think that you know the laburnum from what you find about it in a botany book. I have no objections to its botanical classification. But to understand why its blossoms are yellow, you have to see it on a sunny slope, and you have to include in your observation the various layers of soil from which it grows. Only then can you realize that its yellow color is connected with the colors of the soil from which it grows! But in this situation you look at this plant as you would look at hair growing out of a human body. Earth and plants—as far as the child knows them already—remain one. You must not teach adult botany in the lower grades, and this means you cannot describe a plant without, at the same time, also talking about the Sun shining on it, about climatic conditions and the configuration of the soil—in a manner appropriate to the age of the child, of course. To teach botany as this is done in demonstrations—taking isolated plants, one next to another, violates the child's nature. Even in demonstrations everything depends on the choice of object to be studied. The child has an instinctive feeling for what is living and for what is truly real. If you bring something dead, you wound what is alive in the child, you attack a child's sense of truth and reality. But these days there is little awareness of the subtle differences in these qualities. Imagine contemporary philosophers pondering the concept of being, of existence. It would make very little difference to them whether they chose a crystal or a blossom as an object of contemplation, because both of them are. One can place them both on a table, and both things exist. But this is not the truth at all! In regard to their being, they are not homogeneous. You can pick up the rock crystal again after three years; it is by the power of its own existence. But the blossom is not as it appears at all. A blossom, taken by itself, is a falsehood in nature. In order to assign existence or being to the blossom, one has to describe the entire plant. By itself, the blossom is an abstraction in the world of matter. This is not true of the rock crystal. But people today have lost the sense for such differentiations within the reality of things. Children, however, still have this feeling by instinct. If you bring something to children that is not a whole, they experience a strange feeling, which can follow them into later life. Otherwise Tagore would not have described the sinister impression that the amputated leg had on him in his childhood. A human leg in itself does not represent reality, it has nothing to do with reality. For a leg is only a leg as long as it is part of a whole organism. If cut off, it ceases to be a leg. Such things have to become flesh and blood again so that, by progressing from the whole to the parts, we comprehend reality. It can happen all too easily that we treat a separate part in a completely wrong way if we isolate it. In the case of botany in the lower grades, therefore, we must start with the Earth as a whole and look at the plants as if they were the hair growing out of it. With regard to the animal world, children cannot relate properly to the animal at all if you follow the common method of classification. Since animal study is introduced only in the tenth or eleventh year, you can then expect a little more from the children. But to teach the study of animals according to the usual classification has little real meaning for students of that age, even if this method is scientifically justified. The reality is that the entire animal kingdom represents a human being that is spread out. Take a lion, for example; there you see a onesided development of the chest organization. Take the elephant; here the entire organization is oriented toward a lengthening of the upper lip. In the case of the giraffe, the entire organization strives toward a longer neck. If you can thus see a one-sided development of a human organic system in each animal, and survey the entire animal kingdom all the way down to the insect (one could go even further, down to the “geological” animals, though Terebratulida are not really geological animals any more) then you will realize that the entire animal kingdom is a “human being,” spread out like an opened fan, and the human physical organization makes up the entire animal kingdom, folded together like a closed fan. This is how one can bring the mutual relationship between the human being and the animal into proper perspective. Putting all this into such few words is making it into an abstraction, of course. You will have to transform it into living substance until you can describe each animal-form in terms of a one-sided development of a specific human organic system. If you can find the necessary strength to give your pupils a lively description of animals in this sense, you will soon see how they respond. For this is what they want to hear. And so the plants are linked to the Earth as if they were the hair of the Earth. The animal is linked to the human being and seen as a one-sided development of various human organic systems. It is as if human arms or legs—and in other instances, the human nose or trunk, and so on—had grown into separate existences in order to live as animals on Earth. This is how pupils can understand the animal-forms. It will enable the teacher to form lessons that are attuned to what lives in the growing human being, in the children themselves. A question is asked concerning religious instruction. RUDOLF STEINER: A misunderstanding has arisen from my preliminary remarks about child development and religious impulses. So far nothing has been said in my lectures about religious instruction itself, because I began to talk only today about the practical application of the Waldorf way of teaching. I told you that there is a kind of physical-religious relationship (I called it bodily-religious) between children and their environment. Furthermore, I said that what young children exercised—simply because of their organism—entered the sphere of thinking only after puberty, after approximately the fourteenth or fifteenth year. What manifests at first in a physical-spiritual way, continues in a hidden existence, and re-emerges in the thinking realm in approximately the fifteenth year; I compared that with an underground stream surfacing again on lower ground. For an adult, religion is closely linked to the thinking sphere. If teaching, however, is to be in line with the child's natural development, what will emerge later must already be carefully prepared for during an earlier stage. And thus the question arises: Bearing these laws of human development in mind, how should the religion lessons be planned for the students between the ages of six and fourteen? This is one of the questions that will be addressed in coming lectures. In anticipation, however, I would like to say that we must be clear that the religious element is simply inborn in the child, that it is part of the child's being. This is revealed particularly clearly through the child's religious orientation until the change of teeth, as I have already described it. What has eventually become religion in our general civilization—taken in an adult sense—belongs naturally to the world of ideas, or at least depends on ideation for its substance, which, true enough, lives primarily in the adult's feeling realm. Only after the fourteenth year is the adolescent mature enough to appreciate the ideal quality and substance of religion. For the class teacher (grades one through eight) the important question thus arises: How should we arrange our religion lessons? Or, more precisely: What part of the child must we appeal to through religion lessons during the time between the seventh and fourteenth years? During the first life period, until the change of teeth, we directly affect the child's physical organization through an educational influence. After puberty, fundamentally speaking, we work on the powers of judgment and on the adolescent's mental imagery. During the intervening years we work upon the child's feeling life. This is why we should lead the child into this period with a pictorial approach, because pictures work directly in soul life (Gemüt).4 The powers of mental imagery mature only gradually, and they have to be prepared well before their proper time. What we now have to do in religion lessons is appeal, above all, to the children's soul life, as I will describe it in regard to other subjects tomorrow. The question is: How do we do it? We work on the children's soul life by allowing them to experience feelings of sympathy and antipathy. This means that we act properly by developing the kind of sympathies and antipathies between the seventh and fourteenth years that will lead finally to proper judgments in the religious sphere. And so we avoid Thou shalt or Thou shalt not attitudes in our religion lessons, because it has little value for teaching a child of this age. Instead we arrange lessons so that feelings of sympathy are induced for what the child is meant to do. We do not explain our real aims to children. Using the pictorial element as medium, we present children with what fills them with feelings of sympathy in a heightened sense, as well as in a religious sense. Likewise, we try to induce feelings of antipathy toward what they are not meant to do. In this way, on the strength of feelings of right or wrong, and always through the pictorial element, we try to direct the young students gradually from the divine-spiritual in nature, through the divine-spiritual in the human being, toward having children make the divine-spiritual their own. This has to all reach the child through the life of soul, however, certainly until eighth grade. We must avoid a dogmatic approach and setting up moral commandments. We must do all we can to prepare the child's soul for what should develop later on as the adult faculty of forming sound judgments. In this way we will do far more for the child's future religious orientation than by presenting religious commandments or fixed articles of faith at an age when children are not yet ready for them. By clothing our subject in images, thus preparing the ground for what in later life will emerge as religious judgment, we prepare our students for the possibility of comprehending through their own spirituality what they are meant to grasp as their own innermost being—that is, their religious orientation. Through appealing to the children's soul-life in religion lessons—that is, by presenting our subject pictorially rather than through articles of faith or in the form of moral commandments—we grant them the freedom to find their own religious orientation later in life. It is extremely important for young people, from puberty right into their twenties, to have the opportunity to lift, by their own strength, what they first received through their soul life—given with a certain breadth from many perspectives—into conscious individual judgments. It will enable them to find their own way to the divine world. It makes all the difference whether children, during the age of authority, are brought up in a particular religious belief, or whether, by witnessing the teacher's underlying religious attitude, they are enabled “to pull themselves up like a plant on its tendrils,” and thus develop their own morality later in life. Having first found pleasure or displeasure in what was finally condensed into an attitude of Thou shalt or Thou shalt not, and having learned to recognize, through a pictorial contemplation of nature, how the human soul becomes free through an inner picture of a divine-spiritual weaving in nature and in history, a new stage is reached where young people's own images and ideas can be formed. In this way the possibility is given of receiving religious education out of the center of life itself. It is something that becomes possible only after puberty has been reached. The point is that future stages have to be prepared for properly—that is, based on the correct insight into human nature. In my lectures I have used the comparison of the river that disappears underground and resurfaces at a lower level. During the first seven years the children have an inborn religious attitude. This now enters the depths of their souls, becoming part of them, and does not resurface in the form of thinking until the arrival of puberty. During the second life period we must work into the depths of the students' souls through what is revealed to our individual insights. In this way we prepare them to grow into religious adults. We impede this process if we do not offer our students the possibility to find their own religious orientation later on. In every human being there is an individual orientation toward religion, which, after the fifteenth year, has to be gradually won. Our task is to prepare the ground so that this can happen properly. That is why, at this age, we have to treat the religion lessons just as we do the lessons in the other subjects. They must all work on the child's soul through the power of imagery; the child's soul life has to be stimulated. It is possible to introduce a religious element into every subject, even into math lessons. Anyone who has some knowledge of Waldorf teaching will know that this statement is true. A Christian element pervades every subject, even mathematics. This fundamental religious current flows through all of education. Because of prevailing circumstances, however, we have felt it necessary to come to the following arrangement regarding religious instruction. I would like to point out once more that Waldorf schools are not ideological but pedagogical schools, where the basic demand is that our teaching methods be in harmony with the child's nature. Thus we neither wish nor intend to teach our students to become anthroposophists. We have chosen anthroposophy to be the foundation simply because we believe that a true method of teaching can flow from it. Our Catholic students are taught by visiting Catholic priests, and our Protestant students by visiting Protestant ministers. Waldorf students, whose parents are free-thinkers, and who otherwise would not receive any religious instruction at all, are given religion lessons by our own teachers. The surprising fact has emerged, however, that nearly all of our Waldorf students now attend the religion lessons presented by Waldorf teachers. They have all flocked to the so-called “free” religion lessons, lessons that, in their own way, comprise what permeates all of our teaching.5 These free religion lessons have certainly caused us a great deal of concern. Our relationship to the school is very unusual regarding these lessons. We consider all the other subjects as necessary and intrinsic to our education from the point of view of the principles and methods resulting from anthroposophical research. But, regarding the free religion lessons, we feel that we are on the same footing as the visiting Catholic or Protestant teachers. In this sense, Waldorf teachers who give religion lessons are also “outsiders.” We do not want to have an ideological or confessional school, not even in an anthroposophical sense. Nevertheless, anthroposophical methods have proven to be very fertile ground for just these free religion lessons, in which we do not teach anthroposophy, but in which we build up and form according to the methods already characterized. Many objections have been raised against these free religion lessons, not least because so many children have changed over from the denominational to the free religion lessons. This has brought many other difficulties with it, for, despite our shortage of teachers, we had to find among our existing staff one new religion teacher after another. It is hardly our fault if pupils desert their denominational religion lessons because they wish to join the free religion lessons. The obvious reason is that the visiting religion teachers do not apply Waldorf methods, and the right methods are always the decisive factor, in religious instruction as well. A further question is asked about religious lessons. RUDOLF STEINER: The characteristic mark of Waldorf education should be that all educational questions and problems are considered only from the pedagogical angle, and religion lessons are no exception. The Reverend Mr. X would certainly acknowledge that the two directions mentioned, namely the possibility of replacing religion lessons by moral instruction on the one hand, and that of denominational schools on the other, have been raised from very different viewpoints. The suggestion of replacing religious instruction with lessons in moral conduct is usually presented by those who want to eliminate religion altogether, and who maintain the opinion that religion has become more or less superfluous. On the other hand, a tendency toward religious dogma can easily cause a longing for denominational schools. Neither of these are pedagogical points of view. In order to link them a little more precisely to the aspect of teaching method, I would like to ask: What constitutes the pedagogical point of view? Surely it is the assumption that a human being is not yet complete during the stage of childhood or youth—something very obvious. A child has to grow gradually into a full human individual, which will be achieved only during the course of life. This implies that all potential and dormant faculties in the child should be educated—and here we have the pedagogical point of view in its most abstract form. If someone who represents the purely pedagogical outlook that results from insight into human nature were to now declare that a child comes into the world with an inborn kinship to the religious element, and that during the first seven years the child's corporeality is steeped in religion, only to hear a call for replacing religion lessons by lessons in ethics, it must strike such a person as if those who hold such an idea would be unwilling to exercise a human limb, say a leg, because they had concluded that the human being needs to be trained in every respect except in the use of legs! To call for the exclusion of an essential part of the human being can only stem from a fanatical attitude, but never from a real pedagogy. Insofar as only pedagogical principles are being defended and pedagogical impulses scrutinized here, the necessity of religious teaching certainly follows from the pedagogical point of view. This is why we have established the free religion lessons for those children who, according to the regulations of the school authorities, would otherwise have been deprived of religious instruction, as already stated. Through this arrangement, and because all the children belonging to this category are attending the free religion lessons, there is no student in the Waldorf school who does not have religious instruction. This procedure has made it possible for us to bring back the religious life into the entire school. To speak of the proper cultivation of the religious life at school, and to counter the effects of the so-called “religion-free enlightenment,” by appealing to the inborn religious disposition in the young, may be the best way forward to a religious renewal. I consider it a certain success for the Waldorf school to have brought religion to the children of religious dissidents. The Catholic and Protestant children would have received religious instruction in any case, but it really was not at all easy to find the appropriate form that would enable us to open this subject to all our children. It was strived for only from the pedagogical point of view.
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306. The Child's Changing Consciousness and Waldorf Education: Lecture VI
20 Apr 1923, Dornach Tr. Roland Everett Rudolf Steiner |
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Whether the teacher enters the classroom in a dignified manner, or whether the teacher tries to cut a fine figure, speaks directly to the child. Likewise, whether the teacher is always fully awake to the classroom situation—this will show itself in the child's eye by the way the teacher handles various objects during the lessons—or, during wintertime, whether it could even happen that the teacher absent-mindedly walks off with the blackboard towel around his or her neck, mistaking it for a scarf—all of this speaks volumes to the child. |
6 This leads to a complete absurdity, because, from the perspective of energy output, it makes no difference whether someone cuts a certain quantity of firewood within a given time, or whether—if one can afford to avoid such a menial task—one expends the same energy and time on treading the pedals of a wheel specially designed to combat incipient obesity. |
306. The Child's Changing Consciousness and Waldorf Education: Lecture VI
20 Apr 1923, Dornach Tr. Roland Everett Rudolf Steiner |
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Questions of ethical and social education are raised when we consider the relationship between growing children and their surroundings. We will consider these two issues today—even though briefly and superficially, due to the shortness of time. Once again, the kernel of the matter is knowing how to adapt to the individuality of the growing child. At the same time, you must remember that, as a teacher and educator, you are part of the social setting, and that you personally bring the social environment and its ethical attitudes to the growing pupil. Again, pedagogical principles and methods must be formed so that they offer every opportunity of reaching the child's true nature—one must learn to know the child's true nature according to what has been shown here briefly during the last few days. As always, much depends on how one's material is brought to the students during their various ages and stages. Here we need to consider three human virtues—concerning, on the one hand, the child's own development, and on the other hand, what is seen in relation to society in general. They are three fundamental virtues. The first concerns everything that can live in will to gratitude; the second, everything that can live in the will to love; and third, everything that can live in the will to duty. Fundamentally, these are the three principal human virtues and, to a certain extent, encompass all other virtues. Generally speaking, people are far too unaware of what, in this context, I would like to term gratitude or thankfulness. And yet gratitude is a virtue that, in order to play a proper role in the human soul, must grow with the child. Gratitude is something that must already flow into the human being when the growth forces—working in the child in an inward direction—are liveliest, when they are at the peak of their shaping and molding activities. Gratitude is something that has to be developed out of the bodily-religious relationship I described as the dominant feature in the child from birth until the change of teeth. At the same time, however, gratitude will develop very spontaneously during this first period of life, as long as the child is treated properly. All that flows, with devotion and love, from a child's inner being toward whatever comes from the periphery through the parents or other educators—and everything expressed outwardly in the child's imitation—will be permeated with a natural mood of gratitude. We only have to act in ways that are worthy of the child's gratitude and it will flow toward us, especially during the first period of life. This gratitude then develops further by flowing into the forces of growth that make the limbs grow, and that alter even the chemical composition of the blood and other bodily fluids. This gratitude lives in the physical body and must dwell in it, since it would not otherwise be anchored deeply enough. It would be very incorrect to remind children constantly to be thankful for whatever comes from their surroundings. On the contrary, an atmosphere of gratitude should grow naturally in children through merely witnessing the gratitude that their elders feel as they receive what is freely given by their fellow human beings, and in how they express their gratitude. In this situation, one would also cultivate the habit of feeling grateful by allowing the child to imitate what is done in the surroundings. If a child says “thank you” very naturally—not in response to the urging of others, but simply by imitation—something has been done that will greatly benefit the child's whole life. Out of this an all-embracing gratitude will develop toward the whole world. The cultivation of this universal gratitude toward the world is of paramount importance. It does not always need to be in one's consciousness, but may simply live in the background of the feeling life, so that, at the end of a strenuous day, one can experience gratitude, for example, when entering a beautiful meadow full of flowers. Such a subconscious feeling of gratitude may arise in us whenever we look at nature. It may be felt every morning when the Sun rises, when beholding any of nature's phenomena. And if we only act properly in front of the children, a corresponding increase in gratitude will develop within them for all that comes to them from the people living around them, from the way they speak or smile, or the way such people treat them. This universal mood of gratitude is the basis for a truly religious attitude; for it is not always recognized that this universal sense of gratitude, provided it takes hold of the whole human being during the first period of life, will engender something even further. In human life, love flows into everything if only the proper conditions present themselves for development. The possibility of a more intense experience of love, reaching the physical level, is given only during the second period of life between the change of teeth and puberty. But that first tender love, so deeply embodied in the inner being of the child, without as yet working outward—this tender blossom will become firmly rooted through the development of gratitude. Love, born out of the experience of gratitude during the first period of the child's life, is the love of God. One should realize that, just as one has to dig the roots of a plant into the soil in order to receive its blossom later on, one also has to plant gratitude into the soul of the child, because it is the root of the love of God. The love of God will develop out of universal gratitude, as the blossom develops from the root. We should attend to these things, because in the abstract we usually know very well how they should be. In actual life situations, however, all too often these things turn out to be very different. It is easy enough, in theory, to say that people should carry the love of God within themselves—and this could not be more correct. But such demands, made abstractly, have a peculiar habit of never seeing the light of day in practice. I would like to return to what I said during one of the last few days. It is easy enough to think of the function of a stove in the following way: You are a stove and we have to put you here because we want to heat the room. Your categorical imperative—the true categorical “stove-imperative”—tells you that you are obliged to heat the room. We know only too well that this in itself will not make the slightest difference in the temperature of the room. But we can also save our sermonizing, and, instead, simply light the stove and heat it with suitable logs. Then it will radiate its warmth without being reminded of its categorical imperative. And this is how it is when, during various stages of childhood, we bring the right thing to children at the right time. If, during the first period of life, we create an atmosphere of gratitude around children, and if we do something else, of which I shall speak later, then, out of this gratitude toward the world, toward the entire universe, and also out of an inner thankfulness for being in this world at all (which is something that should ensoul all people), the most deep-seated and warmest piety will grow. Not the kind that lives on one's lips or in thought only, but piety that will pervade the entire human being, that will be upright, honest, and true. As for gratitude, it must grow; but this can happen with the intensity necessary for such a soul and spiritual quality only when it develops from the child's tender life-stirrings during the time from birth to its change of teeth. And then this gratitude will become the root of the love of God. It is the foundation for the love of God. Knowing all this will make us realize that, when we receive children into the first grade, we must also consider the kinds of lives they have led before reaching school age. There should really be direct contact with the parental home—that is, with what has happened before the child entered school. This contact should always be worked for, because teachers should have a fairly clear picture of how the present situation of children was influenced by their social conditions and the milieu in which they grew up. At school, teachers will then find plenty of opportunities to rectify any possible hindrances. For this to happen, however, knowledge of the child's home background, through contact with the parents, is of course absolutely essential. It is necessary that teachers can observe how certain characteristics have developed in a child by simply watching and imitating the mother at home. To be aware of this is very important when the child begins schooling. It is just as much part of teaching as what is done in the classroom. These matters must not be overlooked if one wants to build an effective and properly based education. We have already seen that, in the years between the child's change of teeth and the coming of puberty, the development of a sense for the authority of the teacher is both natural and essential. The second fundamental virtue, which is love, then grows from that when the child is in the process of also developing the physical basis of love. But one must see love in its true light, for, because of the prevailing materialistic attitudes of our time, the concept of love has become very one-sided and narrow; and because a materialistic outlook tends to see love only in terms of sexual love, it generally traces all manifestations of love back to a hidden sexuality. In an instance of what I called “amateurism squared” the day before yesterday, we find, if not in every case, that at least many psychologists trace human traits back to sexual origins, even if they have nothing whatsoever to do with sex. To balance such an attitude, the teacher must have acquired at least some degree of appreciation for the universal nature of love; for sexual love is not the only thing that begins to develop between the child's second dentition and puberty, but also love in its fullest sense, love for everything in the world. Sexual love is only one aspect of love that develops at this time of life. At that age one can see how love of nature and love for fellow human beings awaken in the child, and the teacher needs to have a strong view of how sexual love represents only one facet, one single chapter in life's book of love. If one realizes this, one will also know how to assign sexual love to its proper place in life. Today, for many people who look at life with theoretical eyes, sexual love has become a kind of Moloch who devours his own offspring, inasmuch as, if such views were true, sexual love would devour all other forms of love. The way love develops in the human soul is different from the way gratitude does. Gratitude has to grow with the growing human being, and this is why it has to be planted when the child's growing forces are at their strongest. Love, on the other hand, has to awaken. The development of love really does resemble the process of awakening, and, like awakening, it has to remain more in the region of the soul. The gradual emergence of love is a slow awakening, until the final stage of this process has been reached. Observe for a moment what happens when one awakes in the morning. At first there is a dim awareness of vague notions; perhaps first sensations begin to stir; slowly the eyelids struggle free of being closed; gradually the outer world aids one's awakening; and finally the moment arrives when that awakening passes into the physical body. This is also how it is with the awakening of love—except that, in the child, this process takes about seven years. At first love begins to stir when sympathy is aroused for whatever is taught during the early days at school. If we begin to approach the child with the kind of imagery I have described, we can see how love especially comes to meet this activity. Everything has to be saturated with this love. At that stage, love has a profoundly soul-like and tender quality. If one compares it with the daily process of waking up, one would still be deeply asleep, or at least in a state of sleeping-dreaming. (Here I am referring to the child's condition, of course—the teacher must not be in a dream, although this appears to happen all too often!) This condition then yields to a stronger jolt into wakefulness. And in what I described yesterday and the day before about the ninth and tenth years—and especially in the time leading up to the twelfth year—love of nature awakens in the child. Only then do we see it truly emerging. Before this stage, the child's relationship to nature is completely different. A child then has a great love for all that belongs to the fairyworld of nature, a love that has to be nourished by a creative and pictorial approach. Love for the realities in nature awakens only later. At this point we are faced with a particularly difficult task. Into everything connected with the curriculum at this time of life (causality, the study of lifeless matter, an understanding of historical interconnections, the beginnings of physics and chemistry) into all of this, the teacher must introduce—and here I am not joking, but speak very earnestly—the teacher must introduce an element of grace. In geometry or physics lessons, for example, there is every need for the teacher to allow real grace to enter into teaching. All lessons should be pervaded with an air of graciousness, and, above all, the subjects must never be allowed to become sour. So often, just during the ages from eleven and a half, or eleven and three-quarters, to fourteen or fifteen, work in these subjects suffers so much by becoming unpalatable and sour. What the pupils have to learn about the refraction and reflection of light or about the measurement of surface areas in a spherical calotte, is so often spoken of not with grace, but with an air of sourness. At just this time of life the teacher must remember the need for a certain “soul-breathing” in the lessons, which communicates itself to the pupils in a very strange way—soul-breathing must be allowed for. Ordinary breathing consists of inhaling and exhaling. In most cases, or at least on many occasions, teachers, in their physics and geometry lessons, only breathe out with their souls. They do not breathe in, and the outbreath is what produces this acidity. I am referring to the outbreathing of soul expressed in dull and monotonous descriptions, which infuses all content with the added seriousness of inflated proportion. Seriousness does have its place, but not through exaggeration. On the other hand, an in-breathing of soul brings an inherent sense of humor that is always prepared to sparkle, both within and outside the classroom, or whenever an opportunity arises for teachers and pupils to be together. The only possible hindrance to such radiating humor is the teachers themselves. The children certainly would not stand in its way, nor would the various subjects, provided they were handled with just the right touch during this particular age. If teachers could feel at home in their subjects to the degree that they were entirely free of having to chew over their content while presenting lessons, then they might find themselves in a position where even reflected light is likely to crack a joke, or where a spherical skullcap might calculate its surface area with a winning smile. Of course, jokes should not be planned ahead, nor should they be forced on the classroom situation. Everything should be tinted with spontaneous humor, which is inherent within the content, and not artificially grafted onto it. This is the core of the matter. Humor has to be found in things themselves and, above all, it should not even be necessary to search for it. At best, teachers who have prepared their lessons properly need to bring a certain order and discipline into the ideas that will come to them while teaching, for this is what happens if one is well prepared. The opposite is equally possible, however, if one has not prepared the lessons adequately; one will feel deprived of ideas because one still has to wrestle with the lesson content. This spoils a healthy out-breathing of soul and shuts out the humor-filled air it needs. These are the important points one has to remember at this particular age. If teaching follows its proper course in this way, the awakening of love will happen so that the student's soul and spirit are properly integrated into the human organization during the final stage of this awakening—that is, when the approach of puberty, begins. This is when what first developed so tenderly in the child's soul, and then in a more robust way, can finally take hold of the bodily nature in the right and proper way. Now you may wonder what teachers have to do to be capable of accomplishing their tasks as described. Here we have to consider something I would like to call the “social aspect” of the teaching profession, the importance of which is recognized far too little. Too often we encounter an image that a certain era (not ancient times, however) has associated with the teaching profession, whose members are not generally respected and honored as they should be. Only when society looks upon teachers with the respect their calling deserves, only when it recognizes that the teachers stand at the forefront of bringing new impulses into our civilization—not just in speeches from a political platform—only then will teachers receive the moral support they need to do their work. Such an attitude—or perhaps better still, such a sentiment—would pave the way toward acquiring a wider and more comprehensive view of life. This is what the teachers need; they also need to be fully integrated into life. They need more than just the proper qualifications in educational principles and methods, more than just special training for their various subjects; most of all teachers need something that will renew itself again and again: a view of life that pulsates in a living way through their souls. What they need is a deep understanding of life itself; they need far more than what can pass from their lips as they stand in front of their classes. All of this has to flow into the making of a teacher. Strictly speaking, the question of education should be part of the social question, and it must embrace not just the actual teaching schools, but also the inner development of the teaching faculty. It should be understood, at the same time, that the aims and aspirations for contemporary education, as presented here, are in no way rebellious or revolutionary. To believe that would be a great misunderstanding. What is advocated here can be introduced into the present situation without any need for radical changes. And yet, one feels tempted to add that it is just this social aspect of education that points to so many topical questions in life. And so, I would like to mention something, not because I want to agitate against present conditions, but only to illustrate, to put into words, what is bound to come one day. It will not happen in our current age, so please do not view what I am going to say as something radical or revolutionary. As you know, it is customary today to confer a doctorate on people who, fundamentally speaking, have not yet gained any practical experience in the subjects for which they are given their degree, whether chemistry, geography, or geology. And yet, the proof of their knowledge and capacity would surely have to include the ability to pass their expertise on to other candidates, of teaching them.1 And so a doctor's degree should not really be granted until a candidate has passed the practical test of teaching and training others who wish to take up the same vocation. You can see great wisdom, based on instinctive knowledge, in the popular expression; for, in the vernacular, only a person capable of healing, capable of giving tangible proof of healing abilities, is called a “doctor.” In this instance the word doctor refers to someone engaged as a practical healer, and not just to a person who has acquired specialized medical knowledge, however comprehensive this might be. Two concepts have arisen gradually from the original single concept—that of educating as well as that of healing. In more distant times, teaching or educating was also thought of as including healing. The process of educating was considered synonymous with that of healing. Because it was felt that the human being bore too many marks of physical heredity, education was viewed as a form of healing, as I have already mentioned during a previous meeting here. Using the terminology of past ages, one could even say teaching was considered a means of healing the effects of original sin.2 Seen in this light, the processes of healing, set in motion by the doctor, are fundamentally the same as those of teaching, though in a different realm of life. From a broader perspective, the teacher is as much of a healer as a doctor. And so the weight the title “doctor” usually carries in the eyes of the public could well become dependent on a general awareness that only those who have passed the test of practical experience should receive the honor of the degree. Otherwise, this title would remain only a label. However, as I have already said, this must not be misunderstood as the demand of an instigator for the immediate present. I would not even have mentioned it except in a pedagogical context. I am only too aware of the kind of claims that are likely to be listened to in our times, and the ones that inevitably give the impression one is trying to crash through closed doors. If one wants to accomplish something in life, one must be willing to forgo abstract aims or remote ideals, the attempted realization of which would either break one's neck or bruise one's forehead. One must always try to remain in touch with reality. Then one is also justified in using something to illustrate certain needs of our time, even if these may only be fulfilled in the future; for what I have spoken of cannot be demanded for a very long time to come. It may help us to appreciate, nevertheless, the dignity within the social sphere that should be due the teaching profession. I have mentioned all of this because it seemed important that we should see this question in the proper light. If teachers can feel moral support coming from society as a whole, then the gradual awakening of love in the young will become the close ally of their natural sense of authority, which must prevail in schools. Such things sometimes originate in very unexpected places. Just as the love of God is rooted in gratitude, so genuine moral impulses originate in love, as was described. For nothing else can be the basis for truly ethical virtue except a kind of love for humankind that does not allow us to pass our fellow human beings without bothering to know them, because we no longer have an eye for what lives in them—as happens so easily nowadays. The general love toward all people is the love that reaches out for human understanding everywhere. It is the love that awakens in the child in the time between the change of teeth and puberty, just as gratitude has grown between the child's birth and the loss of the first teeth. At school, we must do everything we can to awaken love. How are children affected by what happens in their immediate surroundings during the first period of life—that is, from birth to the change of teeth? They see that people engage in all kinds of activities. But what children take in are not the actual accomplishments in themselves, for they have not yet developed the faculty to perceive them consciously. What they do perceive are meaningful gestures. During this first period of life we are concerned with only a childlike understanding of the meaningful gestures they imitate. And from the perception of these meaningful gestures the feeling of gratitude develops, from which the gratitude-engendered will to act arises. Nor do children perceive the activities happening in their environment during the subsequent years, between the change of teeth and puberty—especially not during the early stages of this period. What they do perceive—even in the kinds of movements of the people around them—no longer represents the sum total of meaningful gestures. Instead, events begin to speak to the children, become a meaningful language. Not just what is spoken in actual words, but every physical movement and every activity speaks directly to the child during this particular time. It makes all the difference, therefore, whether a teacher writes on the blackboard: Or writes the same word thus: Whether the teacher writes the figure seven like this: Or like this: Whether it is written in an artistic, in a less-refined, or even in a slovenly way, makes a great difference. The way in which these things affect the child's life is what matters. Whether the word leaf is written in the first or second way (see above), is a meaningful language for the child. Whether the teacher enters the classroom in a dignified manner, or whether the teacher tries to cut a fine figure, speaks directly to the child. Likewise, whether the teacher is always fully awake to the classroom situation—this will show itself in the child's eye by the way the teacher handles various objects during the lessons—or, during wintertime, whether it could even happen that the teacher absent-mindedly walks off with the blackboard towel around his or her neck, mistaking it for a scarf—all of this speaks volumes to the child. It is not so much the outer actions that work on the child, but what lives behind them, whether unpleasant and ugly, or charming and pleasant. In this context, it is even possible that a certain personal habit of a teacher may generate a friendly atmosphere in the classroom, even if it might appear, in itself, very comic. For example, from my thirteenth to eighteenth year I had a teacher—and I always considered him to be my best teacher—who never began a lesson without gently blowing his nose first. Had he ever started his lesson without doing so, we would have sorely missed it. I am not saying that he was at all conscious of the effect this was having on his pupils, but one really begins to wonder whether in such a case it would even be right to expect such a person to overcome an ingrained habit. But this is an altogether different matter. I have mentioned this episode only as an illustration. The point is, everything teachers do in front of children at this stage of life constitutes meaningful language for them. The actual words that teachers speak are merely part of this language. There are many other unconscious factors lying in the depths of the feeling life that also play a part. For example, the child has an extraordinarily fine perception (which never reaches the sphere of consciousness) of whether a teacher makes up to one or another pupil during lessons or whether she or he behaves in a natural and dignified way. All this is of immense importance to the child. In addition, it makes a tremendous difference to the pupils whether teachers have prepared themselves well enough to present their lessons without having to use printed or written notes, as already mentioned during our discussion. Without being aware of it, children ask themselves: Why should I have to know what the teachers do not know? After all, I too am only human. Teachers are supposed to be fully grown up, and I am only a child. Why should I have to work so hard to learn what even they don't know? This is the sort of thing that deeply torments the child's unconscious, something that cannot be rectified once it has become fixed there. It confirms that the sensitive yet natural relationship between teachers and students of this age can come about only if the teachers—forgive this rather pedantic remark, but it cannot be avoided in this situation—have the subject completely at their fingertips. It must live “well-greased” in them—if I may use this expression—but not in the sense of bad and careless writing.3 I use it here in the sense of greasing wheels to make them run smoothly. Teachers will then feel in full command of the classroom situation, and they will act accordingly. This in itself will ensure an atmosphere where it would never occur to students to be impudent. For that to happen among children of ten, eleven, or twelve would really be one of the worst possible things. We must always be aware that whatever we say to our pupils, even if we are trying to be humorous, should never induce them to give a frivolous or insolent reply. An example of this is the following situation: A teacher might say to a student who suddenly got stuck because of a lack of effort and attention, “Here the ox stands held up by the mountain.” And the pupil retorts, “Sir, I am not a mountain.”4 This sort of thing must not be allowed to happen. If the teachers have prepared their lessons properly, a respectful attitude will emerge toward them as a matter of course. And if such an attitude is present, such an impertinent reply would be unthinkable. It may, of course, be of a milder and less undermining kind. I have mentioned it only to illustrate my point. Such impudent remarks would destroy not only the mood for work in the class, but they could easily infect other pupils and thus spoil a whole class. Only when the transition from the second life period to the third occurs, is the possibility given for (how shall I call them now in these modern times?) young men and young women to observe the activities occurring around them. Previously the meaningful gesture was perceived, and later the meaningful language of the events around the child. Only now does the possibility exist for the adolescent to observe the activities performed by other people in the environment. I have also said that, by perceiving meaningful gestures, and through experiencing gratitude, the love for God develops, and that, through the meaningful language that comes from the surroundings, love for everything human is developed as the foundation for an individual sense of morality. If now the adolescent is enabled to observe other people's activities properly, love of work will develop. While gratitude must be allowed to grow, and love must be awakened, what needs to evolve now must appear with the young person's full inner awareness. We must have enabled the young person to enter this new phase of development after puberty with full inner awareness, so that in a certain way the adolescent comes to find the self. Then love of work will develop. This love of work has to grow freely on the strength of what has already been attained. This is love of work in general and also love for what one does oneself. At the moment when an understanding for the activities of other people awakens as a complementary image, a conscious attitude toward love of work, a love of “doing” must arise. In this way, during the intervening stages, the child's early play has become transmuted into the proper view of work, and this is what we must aim for in our society today. What part do teachers and educators have to play in all of this? This is something that belongs to one of the most difficult things in their vocational lives. For the best thing teachers can do for the child during the first and second life period is to help what will awaken on its own with the beginning of puberty. When, to their everlasting surprise, teachers witness time and again how the child's individuality is gradually emerging, they have to realize that they themselves have been only a tool. Without this attitude, sparked by this realization, one can hardly be a proper teacher; for in classes one is faced with the most varied types of individuals, and it would never do to stand in the classroom with the feeling that all of one's students should become copies of oneself. Such a sentiment should never arise—and why not? Because it could very well happen that, if one is fortunate enough, among the pupils there might be three or four budding geniuses, very distinct from the dull ones, about whom we will have more to say later. Surely you will acknowledge that it is not possible to select only geniuses for the teaching profession, that it is certain that teachers are not endowed with the genius that some of their students will display in later life. Yet teachers must be able to educate not only pupils of their own capacity, but also those who, with their exceptional brightness, will far outshine them. However, teachers will be able to do this only if they get out of the habit of hoping to make their pupils into what they themselves are. If they can make a firm resolve to stand in the school as selflessly as possible, to obliterate not only their own sympathies and antipathies, but also their personal ambitions, in order to dedicate themselves to whatever comes from the students, then they will properly educate potential geniuses as well as the less-bright pupils. Only such an attitude will lead to the realization that all education is, fundamentally, a matter of self-education. Essentially, there is no education other than self-education, whatever the level may be. This is recognized in its full depth within anthroposophy, which has conscious knowledge through spiritual investigation of repeated Earth lives. Every education is self-education, and as teachers we can only provide the environment for children's self-education. We have to provide the most favorable conditions where, through our agency, children can educate themselves according to their own destinies. This is the attitude that teachers should have toward children, and such an attitude can be developed only through an ever-growing awareness of this fact. For people in general there may be many kinds of prayers. Over and above these there is this special prayer for the teacher: Dear God, cause that I—inasmuch as my personal ambitions are concerned—negate myself. And Christ make true in me the Pauline words, “Not I, but the Christ in me.” This prayer, addressed to God in general and to Christ in particular, continues: “... so that the Holy Spirit may hold sway in the teacher.” This is the true Trinity. If one can live in these thoughts while in close proximity to the students, then the hoped-for results of this education can also become a social act at the same time. But other matters also come into play, and I can only touch on them. Just consider what, in the opinion of many people, would have to be done to improve today's social order. People expect better conditions through the implementation of external measures. You need only look at the dreadful experiments being carried out in Soviet Russia. There the happiness of the whole world is sought through the inauguration of external programs. It is believed that improvements in the social sphere depend on the creation of institutions. And yet, these are the least significant factors within social development. You can set up any institutions you like, be they monarchist or republican, democratic or socialist; the decisive factor will always be the kind of people who live and work under any of these systems. For those who spread a socializing influence, the two things that matter are a loving devotion toward what they are doing, and an understanding interest in what others are doing. Think about what can flow from just these two attributes; at least people can work together again in the social sphere. But this will have to become a tradition over ages. As long as you merely work externally, you will produce no tangible results. You have to bring out these two qualities from the depths of human nature. If you want to introduce changes by external means, even when established with the best of intentions, you will find that people will not respond as expected. And, conversely, their actions may elude your understanding. Institutions are the outcome of individual endeavor. You can see this everywhere. They were created by the very two qualities that more or less lived in the initiators—that is, loving devotion toward what they were doing, and an understanding interest in what others were doing. When one looks at the social ferment in our times with open eyes, one finds that the strangest ideas have arisen, especially in the social sphere, simply because the current situation was not understood properly. Let me give you an example: Today, the message of so-called Marxism regarding human labor and its relationship to social classes is being drummed not just into thousands but into millions of heads.5 And if you investigate what its author alleges to have discovered—something with which millions of people are being indoctrinated so that they see it as their socialist gospel, to use as a means for political agitation—you will find it all based upon a fundamental error regarding the attitude toward social realities. Karl Marx wants to base the value of work on the human energy spent performing it.6 This leads to a complete absurdity, because, from the perspective of energy output, it makes no difference whether someone cuts a certain quantity of firewood within a given time, or whether—if one can afford to avoid such a menial task—one expends the same energy and time on treading the pedals of a wheel specially designed to combat incipient obesity. According to Karl Marx's reckoning, there is no difference between the human energy expended on those two physical activities. But cutting firewood has its proper place within the social order. Treading the pedals of a slimming cycle, on the other hand, is of no social use, because it only produces a hygienic effect for the person doing it. And yet, Karl Marx's yardstick for measuring the value of work consists of calculating the food consumption necessary for work to be done. This way of assessing the value of labor within the context of the national economy is simply absurd. Nevertheless, all kinds of calculations were made toward this end. The importance of one factor, however, was ignored—that is, loving devotion toward what one is doing and an understanding interest in what others are doing. What we must achieve when we are with young people is that, through our own conduct, a full consciousness of the social implications contained in those two things will enter the minds of adolescents. To do so we must realize what it means to stand by children so that we can aid in their own self-education.
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