Single Idea 17775

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

Full Idea

If we grant, as surely we must, the central importance of proof and definition, then we must also grant that mathematics not only needs, but in fact has, foundations.

Gist of Idea

If proof and definition are central, then mathematics needs and possesses foundations

Source

John Mayberry (What Required for Foundation for Maths? [1994], p.405-1)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.405