2. The Position of Anthroposophy among the Sciences

The position of mathematics among the sciences has already been mentioned. Kant's pronouncement, that in every science there is only as much real knowledge—real cognition—as there is mathematics, is widely known. Now I have not to deal here with mathematics itself, with its value for the other sciences and in human life, but rather with the mental attitude a man assumes when “mathematicising”—if I may use this word; that is, when actively engaged in mathematical thinking. His attitude of soul is then, indeed, quite distinctive. Perhaps we may best characterise it by speaking, first, of that branch of mathematics which is usually called geometry and, at least in those parts of it known to the majority of people, has to do with space, is the science of space.