The single intuition of a move of time

Abstract

We analyze and question Brouwer's position that mathematics needs only the basic intuition of time, that one gets by without an intuition of space. Our claim is that there are essentially geometric intuitions, which are not reducible to the intuition of time, given that there are geometric structures irreducible to algebraic ones. Only those versions of geometry that are reducible to algebra can be seen as being constructed from the basic intuition of time.