Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Philosophy of Logic' and 'Eliminative Materialism and Prop. Attitudes'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
18200 Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
18199 Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
8857 We must quantify over numbers for science; but that commits us to their existence [Putnam]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
4988 Folk psychology may not be reducible, but that doesn't make it false [Kirk,R on Churchland,PM]
4987 Eliminative materialism says folk psychology will be replaced, not reduced [Churchland,PM]