We have seen that one arrives at two limits when one seeks either to penetrate more deeply into natural phenomena or, proceeding from the state of normal consciousness, to penetrate more deeply into one's own being in order to uncover the essential nature of consciousness. Yesterday we showed already what happens at the one limit to knowledge. We have seen that man awakes to full consciousness in coming into contact with an external, physical world of sense. Man would remain a more-or-less drowsy being, a being with a sleepy soul, if he could not awake in confronting external nature. And what has happened in the spiritual evolution of humanity, in man's gradual acquisition of knowledge about external nature, is actually nothing other than what happens every morning when we awake out of sleep or dream-consciousness by confronting an external world. This latter is a kind of moment of awakening, and in the course of the evolution of humanity we have to do with a gradual awakening, a kind of long, drawn-out moment of awakening.
If one considers the entire process of development from conception to the change of teeth, one sees therein the powerful activity of these three inner senses. And if one can attain a certain insight into what is happening there, one sees that there is at work in the sense of balance and the sense of movement nothing other than a living “mathematicizing” [ein lebendiges Mathematisieren]. In order for it to come to life, the sense of life is there to vitalize it. We thus see a kind of latent realm of mathematics active within man. This activity does not entirely cease at the change of teeth, but it does become at that time considerably less pronounced for the remainder of life. That which is inwardly active in the sense of balance, the sense of movement, and the sense of life becomes free. This latent mathematics becomes free, just as latent heat can become liberated heat. And we see how that which initially was woven through the organism as an element of soul becomes free. We see how this mathematics emerges as abstraction from a condition in which it was originally a concrete force shaping the human organism. And because as human beings we are suspended in the web of existence according to temporal and spatial relationships, we take this mathematics that has become free out into the world and seek to comprehend the external world by means of something that worked within us up until the change of teeth. You see, it is not a denial but rather an extension of natural science that results when one considers rightly what ought to live within spiritual science as attitude and will.