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'Defending the Axioms', 'Philebus' and 'What Numbers Could Not Be'
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4 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
9910
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Number-as-objects works wholesale, but fails utterly object by object [Benacerraf]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
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The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
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6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
9903
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Number words are not predicates, as they function very differently from adjectives [Benacerraf]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
9904
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The set-theory paradoxes mean that 17 can't be the class of all classes with 17 members [Benacerraf]
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