Ideas of Geoffrey Hellman, by Theme
[American, fl. 1989, Professor at the University of Minnesota. An active concert pianist.]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
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Structuralism is now common, studying relations, with no regard for what the objects might be
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
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Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Friend]
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Statements of pure mathematics are elliptical for a sort of modal conditional [Chihara]
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Modal structuralism can only judge possibility by 'possible' models [Shapiro]
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Maybe mathematical objects only have structural roles, and no intrinsic nature
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