more from Penelope Maddy

Single Idea 17830

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory]

Full Idea

I am not suggesting a reduction of number theory to set theory ...There are only sets with number properties; number theory is part of the theory of finite sets.

Gist of Idea

Number theory doesn't 'reduce' to set theory, because sets have number properties


Penelope Maddy (Sets and Numbers [1981], V)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.353