Combining Texts

All the ideas for 'reports', 'The Philosophy of Logic' and 'Metaphysical conseqs of principle of reason'

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6 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]

7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads

5060	All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz]

25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime

1743	The greatest deterrence for injustice is if uninjured parties feel as much indignation as those who are injured [Solon, by Diog. Laertius]

26. Natural Theory / C. Causation / 3. Final causes

5059	Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz]