Combining Texts

All the ideas for 'reports', 'Explanation: the state of play' and 'The Philosophy of Logic'

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7 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]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Explanation is for curiosity, control, understanding, to make meaningful, or to give authority [Stanford]
Audience-relative explanation, or metaphysical explanation based on information? [Stanford]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
We can explain by showing constitution, as well as showing causes [Stanford]