Combining Texts

All the ideas for 'Vagaries of Definition', 'The Philosophy of Logic' and 'Much Ado About Nothing'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
For there was never yet philosopher/ That could endure the toothache patiently [Shakespeare]
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 / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]
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]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Meaning is essence divorced from things and wedded to words [Quine]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
The distinction between meaning and further information is as vague as the essence/accident distinction [Quine]