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'Metaphysics', 'Philosophy of Language' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'
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4 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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It is a simple truth that the objects of mathematics have being, of some sort [Aristotle]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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Aristotle removes ontology from mathematics, and replaces the true with the beautiful [Aristotle, by Badiou]
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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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