6. Agnosticism in Science and Anthroposophy

Why do we do this? My dear fellow students, why we do it is actually already contained in what I have just said. It lies in the fact that, by doing mathematics, we are merely active within our own mental experience, that we remain entirely within ourselves. I believe that those who have devoted themselves specifically to mathematical studies will agree with me when I say: in terms of inner experience, the mathematical, the process of mathematization, is something that, for those who do it out of inner ability and I would say, can do it out of inner enthusiasm, can give much more satisfaction than any other kind of knowledge of the external world, simply because, step by step, one is directly connected with the scientific result. And when you are then able to connect what is coming from outside with what you know in its entirety, whose entire structure you have created yourself, then you feel something in what is scientifically derived from the interweaving of external data and mathematical work that can be seen as based on a secure foundation. Therefore, because our science allows us to connect the external with an inner experience through mathematics, we recognize this as scientific in the Kantian sense, insofar as mathematics is in it.