more from Hilary Putnam

### Single Idea 9937

#### [catalogued under 6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics]

Full Idea

I do not believe mathematics either has or needs 'foundations'.

Gist of Idea

I do not believe mathematics either has or needs 'foundations'

Source

Hilary Putnam (Mathematics without Foundations [1967])

Book Reference

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.295

A Reaction

Agreed that mathematics can function well without foundations (given that the enterprise got started with no thought for such things), the ontology of the subject still strikes me as a major question, though maybe not for mathematicians.