Combining Texts

All the ideas for 'The Philosophy of Logic', 'Philosophia Epicurea' and 'Intuitionism: an Introduction'

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

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5 ideas

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 / 6. Logicism / d. Logicism critique

8754	Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]

9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle

16640

Form is the principle that connects a thing's constitution (rather than being operative) [Hill,N]