Combining Texts

All the ideas for 'The Philosophy of Logic', 'Inventing Logical Necessity' and 'The Logical Basis of Metaphysics'

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6 ideas

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Classical negation is circular, if it relies on knowing negation-conditions from truth-conditions [Dummett]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity involves a decision about usage, and is non-realist and non-cognitive [Wright,C, by McFetridge]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
Holism cannot give a coherent account of scientific methodology [Wright,C, by Miller,A]