Combining Philosophers
Ideas for Anon (Lev), Jonathan Schaffer and Frank P. Ramsey
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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 / 4. Mathematical Empiricism / b. Indispensability of mathematics
14604
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If a notion is ontologically basic, it should be needed in our best attempt at science [Schaffer,J]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
6409
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The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
13426
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Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
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6. Mathematics / C. Sources of Mathematics / 7. Formalism
13425
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Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
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