Combining Philosophers
Ideas for Euripides, Thales and Kit Fine
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6 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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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
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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 / 6. Logicism / a. Early logicism
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10568
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Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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9224
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Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
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9222
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The objects and truths of mathematics are imperative procedures for their construction [Fine,K]
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9223
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My Proceduralism has one simple rule, and four complex rules [Fine,K]
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