Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'The Philosophy of Logic' and 'Quine on Quantifying In'

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6 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

12220

Is it the sentence-token or the sentence-type that has a logical form? [Fine,K]

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

12222

Substitutional quantification is referential quantification over expressions [Fine,K]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

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]