Combining Texts

All the ideas for 'The Philosophy of Logic', 'Assertion' and 'The Thesis that Mathematics is Logic'

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6 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Putnam coined the term 'if-thenism' [Putnam, by Musgrave]
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]
19. Language / F. Communication / 2. Assertion
An assertion aims to add to the content of a context [Stalnaker, by Magidor]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
An assertion is an attempt to rule out certain possibilities, narrowing things down for good planning [Stalnaker, by Schroeter]