2. The Position of Anthroposophy among the Sciences

If we now focus attention on the human being as, in this way, he objectifies something of his subjective experience, moving himself in an objective domain by himself traversing space—for, in objectifying space, he really bears this space within himself also—we are led to say: If man could do with other experiences what he does when “mathematicising”, he would be able to transfer, to some extent, the mathematical attitude of soul to other experiences. Suppose we could shape other experiences—our mode of perceiving the qualities of colours and tones, for example—in the same way that we create and shape our experience of space from out of ourselves! When we look at a cube of salt we bring the cubical shape with us from our geometry, knowing that its shape is identical with the spatial concept we have formed. If we could create from out of ourselves, let us say, the world of colour, and then confront external coloured objects, we should then, in the same way, project (as it were) into the outer world what we first build up in ourselves. We should thus place ourselves outside our body and even look back upon ourselves. This has been accomplished in mathematics, although it remains unnoticed. (I have given a geometrical illustration; I could give others also.) Neither mathematicians nor philosophers have paid attention to this peculiar relationship that I have just put before you.