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'fragments/reports', 'The Question of Ontology' and 'works'
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
12215
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The existence of numbers is not a matter of identities, but of constituents of the world [Fine,K]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
12211
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It is plausible that x^2 = -1 had no solutions before complex numbers were 'introduced' [Fine,K]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
12209
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The indispensability argument shows that nature is non-numerical, not the denial of numbers [Fine,K]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
8466
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For Quine, intuitionist ontology is inadequate for classical mathematics [Quine, by Orenstein]
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8467
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Intuitionists only admit numbers properly constructed, but classical maths covers all reals in a 'limit' [Quine, by Orenstein]
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