Combining Texts

All the ideas for 'Science and Method', 'On the spiritual perfection of life' and 'The Philosophy of Logic'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

2. Reason / C. Styles of Reason / 1. Dialectic

22102

Arguing with opponents uncovers truths, and restrains falsehoods [Aquinas]

6. Mathematics / A. Nature of Mathematics / 2. Geometry

10245

One geometry cannot be more true than another [Poincaré]

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]