Kepler 1604 and the New Willed Thinking

In this fascinating lecture, Detlef Hardorp connects Steiner’s idea of mathematics as the first stage of supersensible perception with topology, projective geometry and Kepler’s revolutionary thinking. He explains vividly how children experience space (Piaget), contrasts Greek static thinking (circle vs. straight line) with Cusanus’ coincidence of opposites, and reveals Kepler’s stroke of genius: conic sections (straight line, hyperbola, parabola, ellipse, circle) as fluid transitions – instead of rigid separation. A must for anyone who wants to experience geometry as something alive!

A contribution by Detlef Hardorp to the mathematics study conference at the Goetheanum in October 2025.

German | subtitles · DE · EN
Publication: 24 April 2026