Combining Texts

All the ideas for 'The Philosophy of Logic', 'Certain Physical Essays' and 'Chapters on Scepticism'

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6 ideas

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]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Explanation is generally to deduce it from something better known, which comes in degrees [Boyle]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
The best explanations get down to primary basics, but others go less deep [Boyle]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / b. Scepticism of other minds
If we can't know minds, we can't know if Pyrrho was a sceptic [Theodosius, by Diog. Laertius]