more from John Mayberry

Single Idea 17802

[catalogued under 6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory]

Full Idea

One does not have to translate 'ordinary' mathematics into the Zermelo-Fraenkel system: ordinary mathematics comes embodied in that system.

Gist of Idea

We don't translate mathematics into set theory, because it comes embodied in that way


John Mayberry (What Required for Foundation for Maths? [1994], p.415-1)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.415

A Reaction

Mayberry seems to be a particular fan of set theory as spelling out the underlying facts of mathematics, though it has to be second-order.

Related Idea

Idea 17805 Set theory is not just another axiomatised part of mathematics [Mayberry]