Combining Texts

All the ideas for 'Realism in Mathematics', 'Notice of Fine's 'Limits of Abstraction'' and 'Paradox without Self-Reference'

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6 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
8755 Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
9138 An infinite series of sentences asserting falsehood produces the paradox without self-reference [Yablo, by Sorensen]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10718 A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
8756 Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17733 We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
9141 Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert]