Combining Texts

All the ideas for 'Mathematics without Numbers', 'Paradox without Self-Reference' and 'Frege on Knowing the Foundations'

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5 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17622 We come to believe mathematical propositions via their grounding in the structure [Burge]
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 / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]