Combining Texts
Ideas for
'Parmenides', 'Set Theory and the Continuum Hypothesis' and 'Our Knowledge of Mathematical Objects'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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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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We could accept the integers as primitive, then use sets to construct the rest [Cohen]
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The objects and truths of mathematics are imperative procedures for their construction [Fine,K]
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My Proceduralism has one simple rule, and four complex rules [Fine,K]
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