Combining Texts

All the ideas for 'Mathematics without Numbers', 'Resemblance Nominalism and Russell's Regress' and 'Identity, Essence and Indiscernibility'

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5 ideas

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]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
18435 Resemblance Nominalists say that resemblance explains properties (not the other way round) [Rodriquez-Pereyra]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
14381 A statue is essentially the statue, but its lump is not essentially a statue, so statue isn't lump [Yablo, by Rocca]