Combining Texts

All the ideas for 'The Philosophy of Logic', 'Building Blocks of Mathematical Logic' and 'The Meaning of the Word'

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6 ideas

3. Truth / A. Truth Problems / 2. Defining Truth

6710	You can only define a statement that something is 'true' by referring to its functional possibilities [James]

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth

22305

If the hypothesis of God is widely successful, it is true [James]

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

17699

Variables are auxiliary notions, and not part of the 'eternal' essence of logic [Schönfinkel]

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]