more from Georg Kreisel

Single Idea 17810

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

Full Idea

It is necessary to use non-mathematical concepts, i.e. concepts lacking the precision which permit mathematical manipulation, for a significant approach to foundations. We currently have no concepts of this kind which we can take seriously.

Gist of Idea

The study of mathematical foundations needs new non-mathematical concepts


Georg Kreisel (Hilbert's Programme [1958], 06)

Book Reference

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.213

A Reaction

Music to the ears of any philosopher of mathematics, because it means they are not yet out of a job.