Abstract

This is a study of J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external, formal & internal, cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to 'ordinary' Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an 'ursprüngliche' or original geometry. – That is to say, a synthetic and constructivistic conception of geometry grounded in ideal archetypal elements that are grasped through geometrical or intelligible intuition. Accordingly, this study classifies Fichte’s philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or a “mathesis of the mind.”