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'fragments/reports', 'Metaphysics' and 'Mathematics without Numbers'
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7 ideas
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
17851
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Number is plurality measured by unity [Aristotle]
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17843
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The idea of 'one' is the foundation of number [Aristotle]
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17850
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Each many is just ones, and is measured by the one [Aristotle]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
9793
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Mathematics studies abstracted relations, commensurability and proportion [Aristotle]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
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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