Combining Texts

All the ideas for 'The Philosophy of Logic', 'On Metaphysics (frags)' and 'Letter to Peter Wilhelm Lund'

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5 ideas

3. Truth / A. Truth Problems / 8. Subjective Truth
I recognise knowledge, but it is the truth by which I can live and die that really matters [Kierkegaard]
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]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
Theophrastus doubted whether nature could be explained teleologically [Theophrastus, by Gottschalk]