Combining Texts

All the ideas for 'Precepts for Advancing Science and Arts', 'The Philosophy of Logic' and 'Philosophical Letters from England'

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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]

13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique

19392

I don't recommend universal doubt; we constantly seek reasons for things which are indubitable [Leibniz]

23. Ethics / B. Contract Ethics / 2. Golden Rule

7844	The Golden Rule is accepted everywhere, and gives a fixed target for morality [Voltaire]