Combining Texts

Ideas for 'Individuals without Sortals', 'The Philosophy of Logic' and 'Symposium'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts

17518

Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]

17516

If counting needs a sortal, what of things which fall under two sortals? [Ayers]

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]