Combining Texts

All the ideas for 'fragments/reports', 'A Plea for Substitutional Quantification' and 'The Philosophy of Logic'

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7 ideas

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic

9470	Modal logic is not an extensional language [Parsons,C]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

9469	Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]

9468	On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]

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]

28. God / C. Attitudes to God / 5. Atheism

3029	Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius]