more from Philip Kitcher

Single Idea 12393

[catalogued under 6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics]

Full Idea

The process of pure intuition does not measure up to the standards required of a priori warrants not because it is sensuous but because it is fallible.

Clarification

'Warrants' are guarantees of knowledge

Gist of Idea

Intuition is no basis for securing a priori knowledge, because it is fallible

Source

Philip Kitcher (The Nature of Mathematical Knowledge [1984], 03.2)

Book Reference

Kitcher,Philip: 'The Nature of Mathematical Knowledge' [OUP 1984], p.53