Full Idea
Mathematical knowledge arises from rudimentary knowledge acquired by perception.
Gist of Idea
Mathematical knowledge arises from basic perception
Source
Philip Kitcher (The Nature of Mathematical Knowledge [1984], Intro)
Book Reference
Kitcher,Philip: 'The Nature of Mathematical Knowledge' [OUP 1984], p.5
A Reaction
This is an empiricist manifesto, which asserts his allegiance to Mill, and he gives a sophisticated account of how higher mathematics can be accounted for in this way. Well, he tries to.