Maimon on Mathematics and Metaphysics

H. PRINGE

Simposio; Simposio ?De Kant a Hegel"; 2016

Universidad Diego Portales

The aim of this talk is to discuss Maimon?s criticism of Kant?s doctrine of mathematical cognition. In particular, we will focus on the consequences of this criticism for the problem of the possibility of metaphysics as a science. Maimon criticizes Kant?s explanation of the synthetic a priori character of mathematics and develops a philosophical interpretation of differential calculus according to which mathematics and metaphysics get deeply interwoven. Maimon establishes the parallelism of two relationships: the mathematical one between the integral and the differential and the metaphysical one between the sensible and the supersensible. Such parallelism will be the clue to the Maimonian solution to the Kantian problem of the possibility of metaphysics as a science.