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Ideas for
'works', 'Briefings on Existence' and 'Constructibility and Mathematical Existence'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
12328
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Platonists like axioms and decisions, Aristotelians like definitions, possibilities and logic [Badiou]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
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Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
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8759
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We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
12331
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Logic is definitional, but real mathematics is axiomatic [Badiou]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
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Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
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