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'Reply to Professor Marcus', 'What Numbers Could Not Be' and 'On Platonism in Mathematics'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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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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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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Mathematical abstraction just goes in a different direction from logic [Bernays]
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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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