Scientific Disciplines and Anthroposophy

GA 73a — 27 March 1920, Dornach

4. The World Picture of Modern Science

My dear friends! The fact that our friends, who are now gathered here, are giving a whole series of lectures is of a certain importance for the course of events here at the Goetheanum. It is an attempt at appropriate collaboration by our friends; and this must indeed be longed for by our movement, that there should be collaboration in our movement from the most diverse points of view of today's life. Only in this way will the first germs be laid, at least, to meet the strong onslaught that is increasingly evident in the present opposition that is being directed against our movement. Therefore, because I also want to point out the full significance of this undertaking by our friends, today's lecture should be a kind of episode in the series of reflections. It arises, so to speak, from the need to continue speaking today in the tone of the principled scientific questions that have been raised here in recent days by our friends, and to resume other anthroposophical reflections only tomorrow.

We have heard a great deal over the past few days from our friends about the fundamental issues in contemporary science, and what we have heard is accurate, important and essential in various ways. We will hear more.

We will hear more. Today, continuing in this fundamental tone, I would like to present some ideas that will also point to the methodology of the current scientific world view, insofar as this methodology shows the actual state of this current scientific world view when it attempts to go into its experimental observation results in more detail. You have heard, particularly from the few comments made yesterday by Dr. Kolisko in response to Dr. Husemann's impressive lecture, what the psychological value of today's scientific view of the world is, so to speak.

Now, however, the following must actually be said: this atomistic-molecular foundation of natural science actually figures within those circles that talk about natural science today and that already mix their fantastic atomic theories into the description of phenomena, as described by Dr. Kolisko yesterday. But this atomistic-molecular foundation of natural science But this atomistic-molecular foundation of natural science appears even more when laymen or semi-laymen speak today about world-view questions in the most diverse monist and similar associations, through which one wants to make popular world-views that are supposed to be based on real science, but which are actually only based on what has long been devalued by the facts of science today. One could say devalued, even if not refuted, because to refute it would require spiritual science, which would first have to be accepted by wider circles. The situation within contemporary spiritual life, which after all ultimately dominates our world, this situation is indeed a rather bleak one.

On the one hand, we have a scientific foundation of the world view that has gradually, I might say, become quite inadequate. And on the other hand, we have all kinds of philosophers who, although much admired, and this is particularly characteristic of our time, do not really arrive at any substantial content for a world view. For it will hardly take long before it is realized that philosophical prattle of the Eucken type or the like cannot be regarded as something truthful or valuable. If we look back a few decades to the development of world views that have emerged from the natural sciences, we find that just a few decades ago, I might say, the glory of atomistic-molecular thinking was still there. It was taken for granted that matter could be conceived of in such a way that atoms and molecules in various configurations and positions in relation to one another were assumed to underlie material substances. And everything that was easily and conveniently available from the fields of physics and chemistry was collected to serve as a kind of corroboration of this atomistic-molecularist thinking.

What existed as a healthy opposition to this thinking, such as the Goethean worldview, was simply not taken into account during this time; it was viewed as a kind of dilettantism. They thought up a world system that was supposed to be composed of the simplest possible elements: space, time, movement, mass – these were the basic concepts that were assumed and from which, basically, an entire world system was then constructed. Such world systems have sprung up like mushrooms, varying in their details but consistent in the main, and they all actually wanted to be based on the most elementary and primitive concepts alone, on concepts such as space, time, movement and mass. The ideal was to trace the complicated form of movement of the cell, from which one then thought of the whole organism as being built, back to space, time, movement and mass, and thereby to imagine everything organic as emerging from mere space, time, movement and mass, which represent matter. This view is, after all, not based on the facts of the world itself, but is thoroughly thought out. Anyone who has experienced what has come about in this way knows how these things were actually all thought-out world views; certain basic assumptions were made and then built on.

In my lectures, I have often related how, as a very young boy, I was already aware of such a world system, which did not go as far as the organic, but at least as far as the chemical. It was put forward by my headmaster at the time, who thought entirely in the spirit of the times and assumed the following as a basis. He said: Let us take the simplest thing, space to begin with, and then distribute matter throughout space, arranged atomistically. He thought of space as infinite and divided space into nothing but space cubes. Space is filled with matter. Now he said: One can think of matter as being distributed in a certain way in these different space cubes. If you try to visualize how matter is distributed in these different space cubes, you can say the following: under certain circumstances, it could be distributed in such a way that the same number of atoms would be present in all of the infinitely many space cubes. But since we have an infinite number of space cubes and no assumption forces us to decide on a certain number of atoms in a space cube, it is just a probability that there are as many atoms in one space as in another. Because there are infinite possibilities, it is likely that there are as many in one space as in the other spaces: One divided by infinity is zero, so there is a different number of atoms in each spatial part. But if you now introduce time, there is no reason to assume that in the next time part the situation would not be the same again: namely that the probability would be zero that there would be the same number of atoms in a particular spatial part as in the previous spatial part. Therefore, the number of atoms in the successive time periods will be different in the spatial parts. That is to say, matter is in motion.

Now we have derived the movement of matter from the probability calculation and from the division of the space cube. But since it is not probable that the atomistic-material particles go through each other - this contradicts what is shown to us in natural phenomena - so one must assume that the material particles are afflicted with resistance against each other, so they are massive. The simplest assumption is that they are rigid masses. And with that we have time, space, movement, mass, and now we can begin to calculate what results from the mutual impacts. And here we soon see something that is highly intriguing for minds like ours, namely, we can now calculate and we can imagine what the calculations show as a correlate, as a representation of what is happening in matter. And indeed, through these computational magic tricks, we can then figure out the processes, as the [school principal] did, right down to the chemical processes. All chemical processes can still be derived by calculation. And if someone is an even greater magician in this field, he will also succeed in deriving and calculating the organic processes in the cell. One gets a whole world view built up from the most primitive ideas of space, time, movement, mass.

This is something that increasingly haunted minds the further 19th-century thinking progressed. And it was only at the turn of the 19th to the 20th century that a breach was made in this whole way of thinking. I have already indicated from a variety of angles how this breach was made. You see, the man I have been talking about here is only representative of this way of thinking; I am using him as a representative because he confronted me as a twelve-year-old boy at the time and I was surprised at the way in which one can conjure up an entire world view out of space, time, movement and mass in a mathematical way. Those who thought likewise all found that one had to do with the matter that causes the appearance of solid, liquid and gaseous bodies, and then with all that one had to ascribe to - as this man said - a much finer world gas that spreads everywhere; others said the ether. So, for their world view, they had the general cosmic ether, through whose movement the light spreads or in whose movement the light should even exist, and in this ether, floating, ponderable matter, matter that has weight and then receives the effects of these ether processes, and also interpenetrates with them, and so on. Of course, there is actually no room in such a world view for the idea of anything spiritual. One can certainly indulge in illusions in this respect; one can say that one adheres to this world view for physics and for chemistry, possibly also for organic chemistry, and in addition, one still assumes a spiritual one. But then one would like to ask how the mediation is actually to take place between this spiritual and what one imagines to be a mere effect of space, time, movement and mass without this spiritual.

Now, however, in addition to these imaginative ideas, which, as already mentioned, had been developed in the most diverse ways, one was also obliged to take into account what the facts of the world of phenomena itself offered. In such a world picture there is really nothing in it that man sees through his senses. Because in it there are moving little particles that have nothing at all of the properties that the sensory world has; there are moving little particles in it, a pushing and shoving, but nothing of what the sensory world presents. It has certainly occurred to individuals, for example to Mach, that something has been thought up there. He therefore went back to the world of pure sense perceptions, and he also wanted to put together the whole physical world picture only from the temporal sequence and the spatial juxtaposition of sense perceptions. However, even in this Machian way one cannot get along, because if one only presents sense perceptions, then these sense perceptions remain, so to speak, neutrally next to each other. If one does not have the ability to see something essential in sensory perceptions, then one can only bring them into a spatial and temporal relationship with each other, not into an intensive and qualitative relationship. In short, one does not get to the rich world of our sensory experiences with one's thinking in the Machian way. But one can say this: such thinking is extraordinarily captivating.

I know, my dear friends, that many of you do not find such thinking enchanting. But that is only because those who do not find it enchanting have not undergone a very strong mathematical culture and therefore cannot feel the enchantment of calculating all the phenomena in the world. There is a kind of magic in transforming the whole world in one's mind, in one's imagination, into a machine that works as finely as it does through such a world view - there is something enchanting about it. And it did not come about out of, I would say, a little devilry or because someone wanted to fool the world - although the world could appear to be fooled by this world view. It really did not arise out of mere cynicism, but it arose because there exists in man an inner urge to deceive himself as much as one can deceive oneself about the phenomena that occur, if one only follows the mathematical fantasies of one's inner soul life. This urge was already present; it was a completely sincere, honest urge that underlay this terribly empty world view, the forming of this terribly empty world view. And today, when we so clearly recognize the necessity of abandoning this world view, abandoning it thoroughly and replacing it with a spiritual-scientific one, today this question must already be asked: Where does the appeal of this mechanistic world view come from?

Perhaps the best way to answer this question of how the mechanistic conception of the world has become so attractive is to take a look at the revolution in this world view that actually only took place in the last two decades of the 19th century and since the turn of the 19th to the 20th century. You see, when people used to think in terms of empty space, and movements in empty space, movements of matter, both heavy matter and ether, there was no limit to certain ideas. What danced from one cube into another in the space cubes could be imagined to have any speed. And it was also imagined to be rigid, even unchangeable. Such a particle was itself thought of as unchanging and was taken as the basis for the calculation as unchanging. One was not bound to anything other than what the invented ideas of space, time, motion and mass imposed.

In particular, many ether theories have been constructed under the influence of these ideas. The ether was sometimes a rigid body that was just not heavy, sometimes a liquid, sometimes a sum of vortices of matter, and so on. All kinds of formations and configurations were seen in this ether. Models were also made of how the ether actually behaves in certain parts of space. In England, in particular, many such ether models were constructed because people there were keen to imagine everything spatially. We in Central Europe could still hear the echoes of these ether model constructions when we met the old theosophists. Theosophists imitated these ether model constructions, and I knew such an old German theosophist who had learned his whole theory from England. He once took me to his attic, and there were all kinds of ether models, huge ether models. There you could see how the coils and movements took place, this way and then that way, intertwining with each other — everything was intertwined. They were terribly complicated but ingeniously devised intertwinings of what was supposed to take place in the ether. The people who thought up such models were sometimes far removed from what actually lives in reality.

But little by little they were compelled to take this reality into consideration, and out of this endeavor something emerged like Einstein's theory, the so-called theory of relativity, the theories of Mie, Nordström, Hilbert and so on; there is a whole rich literature today about this theory of relativity. I would like to present just two ideas of this relativity theory to the soul's eyes, and then we will see where it has led, at least in terms of the attempt to get out of the purely imaginative world view. The first thing that occurred to people under the influence of Lorentz's experiments and Einstein's terribly abstract thinking, but still with some consideration for reality, was to disregard this world view and these beautiful models altogether. To characterize what was arrived at when one wanted to get out of it, I will tell you how one came to regard the speed of light as the original speed, so to speak, as the original speed in space.

Anyone who fantasizes in this way (see Chart 1) does not need to think about any original speed, because these little comrades in there in the space cubes can move at any speed or slowness and, of course, faster than light. You just have to assume that.

But certain phenomena had to be taken into account, which led to the assumption that light - I am not saying that this is correct, but in any case, it was stated and it was finally accepted - light as the speed beyond which there is no increase in speed, so that nothing can be faster than light. So everything else that exists in the world in terms of speed must then be measured against the speed of light.

Now, such an assumption could no longer be reconciled with the assumption of the ether as this previous world view had assumed. Because if one assumed that light had a speed of 186,000 miles per second and compared everything else with the speed of light, then one could not accommodate the whole sum of ideas associated with the ether in this world view. And so it happened that, for example, Einstein completely left out the ether and now no ether was assumed at all. In Einstein's theory of relativity, you have a world view without an ether. So light propagates through empty space with the maximum of all existing velocities. Everything else must be measured by light. If we take this as our point of departure, we arrive at a significant conclusion. It turns out that all that is required is for a solid body to move fast enough. It can increase its velocity continuously, but it cannot exceed the speed of light. So now we are no longer dealing with the movement of a solid body through the ether. Because the ether is no longer considered, we now speak of the movement as such, which is also carried out by solid bodies, and we speak of the fact that the movement is not without influence, for example, on the expansion, let us say, on the length of a solid body. And so Einstein came to the idea that a solid body of a certain length simply becomes shorter by moving, that is, by nothing other than by moving.

Just think about it: insofar as you yourselves are solid bodies - if you were to move through space at a certain speed, you would become thinner and thinner in the direction in which you are moving, and finally you would become as thin as a sheet of paper. So by leaving out the ether, certain changes to the world view became necessary. And the following two sentences play an extraordinarily important role in the theory of physical knowledge today: firstly, that the speed of light is the maximum speed, that nowhere can a greater speed be assumed than that of light, that light is the original speed, and secondly, the assumption that solid bodies change their size simply by moving, that movement itself can be a cause of a change in size, of the expansion of solid bodies.

If you take these two ideas and consider how different they are from everything we humans think about based on our experiences of our environment, you will be able to form an opinion about what Einstein, Mie, Nordström and so on were compelled to do in the physical world view. You see, there is already a physical world view that has been adopted by a whole series of people, which is based on these ideas of the maximum speed of light and of expansion, change through movement itself in solid bodies. This world view has nothing to do with the world view that we were accustomed to in our youth and that still haunts laymen when they talk about world views. This world view has actually revolutionized all old physical concepts. It is interesting that this world view even seeks to revolutionize the old Newtonian view of gravitation, of weight, of the attractive force of mass, so that Newton's law that masses attract each other in inverse proportion to the square of the distance no longer applies. But what asserts itself as a change in mass according to Einstein's theory is basically also only a calculation result. So one should also only calculate the effects that were previously attributed to gravity, gravitation and so on. However, Einstein is obliged to think of a different geometry for his world view. What is this different geometry? That can be said very simply. In our geometry, the Pythagorean theorem applies and it applies that if two straight lines are parallel, they do not intersect even at infinity. In our geometry, the theorem also applies: the three angles of a triangle are 180 degrees. In the geometry that is assumed [by Einstein], such theorems no longer apply. For example, under certain conditions, the three angles of a triangle are greater than 180 degrees, or even less than 180 degrees. But this is only possible if you imagine space in a completely different way than you have usually imagined it, namely that in this world view you imagine space as an empty vacuum.

You see, a kind of compromise has been reached between those who have overcome the old Euclidean geometry and replaced it with another geometry: Lobachevsky, Riemann, Gauss and so on, who have introduced calculations with more than three dimensions. And Einstein can't get along with anything other than introducing the multidimensional manifold. So, simply by introducing multi-dimensional space, one can, as it were, incorporate gravity into this multi-dimensional space. It's actually terribly simple.

You see, if you assume three-dimensional space and calculate in this three-dimensional space, then the effects of gravity are not included. You have to assume something extra for gravity, namely a force emanating from the masses, through which they attract each other or exert pressure or something similar – pressure forces that cause the masses to collide or the like. But if you assume a fourth dimension in addition to these three and know nothing other than what the calculation yields, then you have a good opportunity to accommodate gravity as well. Because as long as you only calculate with three dimensions, you have to assume something extra for gravity; but if you already take into account what you would otherwise have calculated for gravity by adding another dimension, then what you would otherwise have calculated for gravity can also come out for what you would otherwise have assumed for gravity. In any case, however, you can see that something suddenly appears that intervenes quite newly in the old ideas. Suddenly, something arises such as the paradoxical idea that a body can become smaller purely by moving. A mere solid body – I don't even want to say an animal, which one might assume would shrink or something like that through the exertion of force – a mere solid body does not become smaller when it is cooled, but when it is moved. One is compelled to do so. The world view that you have believed to be so certain suddenly changes, and you come to completely opposite ideas. It is very strange, when you look at something with the eyes of a psychologist, as I have described to you.

This idea of space vacuum, of time, which, so to speak, goes from a non-beginning to a non-end, when you compare this rigid world view, which has something terribly rigid about it, with Einstein's, then the Einsteinian world view - I would say it suddenly becomes something slimy. The former is extremely dry, can be attacked and felt everywhere as something extremely dry, and now it suddenly becomes slimy - the bodies cease to retain their expansion, and through the mere movement they become mollusks. Actually, this is a terrible change of the basic physical concept in the last two decades. The world does not yet appreciate this, although it is repeatedly presented to the world from many sides as one of the greatest achievements of modern thinking. Unfortunately, however, it seems to me, my dear friends, as if modern humanity has become too stupid to think at all. Therefore, it does not care about it at all. Even the newspapers are talking today about Einstein's theory, which actually overturns everything that people still think when they live in the popular world view. Well, it makes no impression on people; they read this Einsteinian revolution in physics just as they read that, well, let's say, milk has become 10 centimes more expensive again. There is no longer anything in humanity that would show that these people are still living with what some of them are thinking.

This revolution in physics has already taken place, and the world view that was still firmly established just four decades ago has, so to speak, been turned upside down into a sum of such ideas that are now of a completely different nature. Anyone who today allows the thoughts of Einstein, Mie, Nordström to take effect on them has something completely different to deal with than what the physical theorists presented to us in the universities four decades ago. Of course, the subject could not yet be broken down into the ramifications of the individual sciences, but that is on the way, for we are already finding a kind of bridge to cytology, and that will come: Einstein's theory will also take hold of cytology, then it will enter into organic chemistry and so on.

You see, for anyone who cares about the fate of humanity, such a change in the ideas of a worldview is of the utmost importance, because they must ask themselves: how did something like this come about in the whole development of modern humanity? What does it actually depend on? You see, in the times that preceded the great turning point, this leap in the development of humanity - which took place in the middle of the 15th century, but which was now a natural one - in such times that preceded this turning point, one could have had neither this physical world view nor Einstein's theory of relativity. In those days, before the time of Galileo, people thought in images, in images that are more similar to the forces present in reality. The abstract concepts by which we today also want to grasp the laws of nature are quite unlike the real forces. In the past, people still had certain imaginations in their concepts. They still had the opportunity to enter into relationships with reality. They had this opportunity because something of the after-effects of the prenatal spiritual-soul life, the life between death and a new birth, still resulted for them. That the ideas did not become abstract, but rather concrete, permeated with pictorial structure, is due to the influence of what one had experienced between the last death and this new birth. This ability was lost, and only abstract thinking remained, which, however, actually has real value only if it is still imbued with the resonance of the forces between death and a new birth. This was gradually distilled out completely, and in the 19th century all that remained of this world view was emptied of everything that had previously had a spiritual origin. The forces used to create this world view actually only make sense if they take their content from the spiritual world, otherwise it is an empty formalism. And this formalism was applied to the external sense world, to which it did not fit at all, for which it was not at all adapted. One was subject, I would say, to a terrible fate: that which could have been vividly revived in an inner experience, that was applied to the outer world.

I believe that you can get a sense of what I am actually talking about if you open Novalis and find true hymns in the aphorisms of Novalis, for example to mathematics, to pure mathematics, which he calls a great poem, a wonderful poem, a most wonderful imaginative creation. I don't know how many people today can relate to Novalis in this, but one can relate to him. One can sympathize with him when one knows that Novalis had an inkling of how mathematics suddenly becomes something wonderful when it is not merely applied to the external world of the senses, where it becomes purely formalistic, but when it is carried up into the spiritual world and filled with imaginations of the spiritual world. For if one applies them to the external sense world, then one really dislikes all talk of this sense world. One no longer speaks of this real world at all; one actually speaks of something quite foolish. One cannot, as was remarked yesterday, present such a world view without dishonesty, because it takes no account of what one otherwise really presents in life. You throw everything out as if it weren't there. You can't imagine such a world that is not red and not blue, not warm and not cold, that is not thick and not thin, that is not loud and not silent, you can't imagine it in reality. You can calculate it, but you can't imagine it. You transform the whole world into an empty formalism.

This stops immediately when you carry this mathematics up into the spiritual world. There it becomes manifest, it becomes something great. And now, you see, the world is at a crossroads today. On the one hand, it should stop developing this formalistic world view, because that is nothing more than squeezing a lemon dry, and it should be willing to find spiritual content in a different way, not by inventing atoms and their weaving, but by looking for the spirit in the phenomena that are all around us. We should do this. We should become agile, we should be able to penetrate into the organic.

The day before yesterday, Dr. Unger so beautifully explained to you how it is necessary for scientific thinking to become inwardly agile, to inwardly transform itself, so that this thinking can follow the metamorphosis of organic forms. Yes, humanity should do this. But under the influence of this new world picture, it has become neurasthenic. Under the influence of this rigid, dry world picture, it has become completely neurasthenic with regard to time and movement and space and mass, fidgety, terribly fidgety. And instead of her thinking feeling its way into the metamorphosing organic world, instead of her thinking having a truly organic metamorphosing effect, her thinking becomes mollusc-like. And instead of thinking in terms of Goethe's metamorphosis, she thinks in a neurasthenic way, how the solid body becomes shorter when it merely moves. There you have the way in which thinking has become mobile under the aegis of our concept of time. There you have what is rightly demanded, but which our time fulfills only in a neurasthenic way. There you have, so to speak, first of all what was to come, but it comes in a neurasthenic way.

These things must be borne in mind, my dear friends, if you want to understand the present. Einstein, Mie, Nordström, Hilbert and so on, they are, I might say, under the impression of the approaching spiritual wave. But these are all neurasthenics, world-view neurasthenics, who go against the thinking that must be demanded by the real modern theory of knowledge; they fulfill it in a neurasthenic way. They cannot conceive of the Goethean metamorphosis; but the old, dry, rigid world-picture, which, I might say, makes one cool to the finger-tips when one touches it in its dryness, they make slimy, mollusc-like. Of course, thinking is “flexible” when it can imagine that a person, if they fly fast enough through space, becomes completely flat like a sheet of paper. There you have “flexible” thinking, but flexible thinking in the light of neurasthenics, in the light of neurasthenic world-view. This world-view neurasthenia, which has often been pointed out to you, is very deeply rooted in our world-views. That is what we have to lead to the soul today. Today, our world view is becoming neurasthenic. Spiritual science should heal this neurasthenia. This is also a demand of the time.

Now, tomorrow, after we have gone through this episode, we want to bring some more anthroposophical considerations into it.