2. The Position of Anthroposophy among the Sciences

I was once—it made a great impression on me—regarded with astonishment by an elderly author who had written much on spiritual matters. Seeing me for the first time, he asked: “How did you first become aware of this difference between perceiving the sense-world and perceiving the super-sensible world?” Because I always like to express myself about these things with radical honesty, I replied: “In the moment when I learnt to know the inner meaning of what is called modern or synthetic geometry.” You see, when one passes from analytic to synthetic geometry—which enables us, not only to approach forms externally, but to grasp them in their mutual relationships—one starts from forms, not from external co-ordinates. When we work with spatial coordinates, we do not apprehend forms but only the ends of the co-ordinates; we join up these ends and obtain the curves. In analytical geometry we do not lay hold of the forms, whereas in synthetic geometry we live within them. This induces us to study the attitude of soul which, developed further, leads us to press on into the super-sensible world.