Combining Texts

All the ideas for 'The Philosophy of Logic', 'On the Principles of Indiscernibles' and 'Cogitata et Visa'

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]

12. Knowledge Sources / D. Empiricism / 1. Empiricism

3648	Empiricists are collecting ants; rationalists are spinning spiders; and bees do both [Bacon]

28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof

2116	The concept of an existing thing must contain more than the concept of a non-existing thing [Leibniz]