Combining Philosophers
Ideas for Herodotus, Geoffrey Hellman and Michael Walzer
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
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8921
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Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
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8698
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Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
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9557
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Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
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10263
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Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
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8922
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Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
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