Combining Texts

All the ideas for 'The Philosophy of Logic', 'The Myth of the Given' and 'Philosophia Epicurea'

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5 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]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
Form is the principle that connects a thing's constitution (rather than being operative) [Hill,N]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
The 'doctrine of the given' is correct; some beliefs or statements are self-justifying [Chisholm]