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Ideas for
'Sententia on 'De Caelo'', 'Briefings on Existence' and 'Mathematics without Foundations'
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4 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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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 / 4. Mathematical Empiricism / a. Mathematical empiricism
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Maybe mathematics is empirical in that we could try to change it [Putnam]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
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Science requires more than consistency of mathematics [Putnam]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
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Logic is definitional, but real mathematics is axiomatic [Badiou]
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