Combining Texts

All the ideas for 'Scientific Explanation', 'Is Mathematics purely Linguistic?' 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 / F. Fallacies / 4. Circularity

9355	One sort of circularity presupposes a premise, the other presupposes a rule being used [Braithwaite, by Devitt]

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]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

21570

Numbers are just verbal conveniences, which can be analysed away [Russell]