Signs, figures and time: Cavaillès on “intuition” in mathematics

Abstract

This paper is concerned with Cavaillès’ account of “intuition” in mathematics. Cavaillès starts from Kant’s theory of constructions in intuition and then relies on various remarks by Hilbert to apply it to modern mathematics.

Keywords

• sign, symbol, figure, time, intuition, Cavaillès, Hilbert, Brouwer, Kant.