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

Source

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

Book Reference

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

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