Combining Texts

All the ideas for 'works (all lost)', 'De arcanus motus' and 'The Philosophy of Logic'

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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]

8. Modes of Existence / C. Powers and Dispositions / 1. Powers

12733

Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]

10. Modality / A. Necessity / 2. Nature of Necessity

12734

Every necessary proposition is demonstrable to someone who understands [Leibniz]