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'Parmenides', 'Ambitious, yet modest, Metaphysics' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'
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3 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 / 7. Formalism
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Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
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Only applicability raises arithmetic from a game to a science [Frege]
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