Lecture IV

In the last lecture, I spoke of a former view of life from which the modern scientific view has evolved. It still combined the qualitative with the form-related or geometrical elements of mathematics, the qualitative with the quantitative. One can therefore look back at a world conception in which the triangle or another geometrical form was an inner experience no matter whether the form referred to the surface of a given body or to its path of movement. Geometrical and arithmetical forms were intensely qualitative inner experiences. For example, a triangle and a square were each conceived as emerging from a specific inward experience.