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'On What Grounds What', 'Justified Belief as Responsible Belief' and 'What Numbers Could Not Be'
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4 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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13741
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If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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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 / 5. Numbers as Adjectival
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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
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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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