more from Penelope Maddy

Single Idea 18183

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

Full Idea

Set theoretic foundations bring all mathematical objects and structures into one arena, allowing relations and interactions between them to be clearly displayed and investigated.

Gist of Idea

Set theory brings mathematics into one arena, where interrelations become clearer


Penelope Maddy (Naturalism in Mathematics [1997], I.2)

Book Reference

Maddy,Penelope: 'Naturalism in Mathematics' [OUP 2000], p.26

A Reaction

The first of three benefits of set theory which Maddy lists. The advantages of the one arena seem to be indisputable.

Related Ideas

Idea 18184 Making set theory foundational to mathematics leads to very fruitful axioms [Maddy]

Idea 18185 Unified set theory gives a final court of appeal for mathematics [Maddy]