Combining Texts

All the ideas for 'Hat-Tricks and Heaps', 'The Philosophy of Logic' and 'On Assertion and Indicative Conditionals'

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6 ideas

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')

9117	The smallest heap has four objects: three on the bottom, one on the top [Hart,WD, by Sorensen]

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 / 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]

10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals

14288

'If A,B' affirms that A⊃B, and also that this wouldn't change if A were certain [Jackson, by Edgington]

13769

Conditionals are truth-functional, but should only be asserted when they are confident [Jackson, by Edgington]