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'Metaphysics: the logical approach', 'Rationality and Virtue' and 'A Structural Account of Mathematics'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
3332
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Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
3330
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Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]
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3337
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Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
9553
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Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
10192
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We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride]
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