Ideas from 'Realism in Mathematics' by Penelope Maddy [1990], by Theme Structure
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4. Formal Logic / F. Set Theory ST / 7. Natural Sets
8755

Maddy replaces pure sets with just objects and perceived sets of objects

6. Mathematics / B. Foundations for Mathematics / 5. Mathematics as Set Theory / a. Mathematics is set theory
10718

A natural number is a property of sets

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
8756

Intuition doesn't support much mathematics, and we should question its reliability

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17733

We know mindindependent mathematical truths through sets, which rest on experience
