more from Penelope Maddy

Single Idea 17733

[catalogued under 6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism]

Full Idea

Maddy proposes that we can know (some) mind-independent mathematical truths through knowing about sets, and that we can obtain knowledge of sets through experience.

Gist of Idea

We know mind-independent mathematical truths through sets, which rest on experience


report of Penelope Maddy (Realism in Mathematics [1990]) by Carrie Jenkins - Grounding Concepts 6.5

Book Reference

Jenkins,Carrie: 'Grounding Concepts' [OUP 2008], p.191

A Reaction

Maddy has since backed off from this, and now tries to merely defend 'objectivity' about sets (2011:114). My amateurish view is that she is overrating the importance of sets, which merely model mathematics. Look at category theory.