In the course of a comprehensive historical survey the lecturer characterized, in a way I found utterly convincing, the present mathematical interpretation of nature as a transitional stage of human consciousness - a kind of knowing which is on the way from a past pre-mathematical to a future post-mathematical form of cognition. The importance of mathematics, whether as a discipline of the human spirit or as an instrument of natural science, was not for a moment undervalued. On the contrary, what Rudolf Steiner said about Projective (Synthetic) Geometry, for instance, its future possibilities and its role as a means of understanding higher processes of nature than had hitherto been accessible to science, clearly explained the positive feelings I myself had experienced - without knowing why - when I had studied the subject.