Combining Texts

All the ideas for 'Psychophysical supervenience', 'The Philosophy of Logic' and 'Elucidation of some points in E.Schrder'

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5 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
A class is an aggregate of objects; if you destroy them, you destroy the class; there is no empty class [Frege]
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 / 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]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Extrinsic properties, unlike intrinsics, imply the existence of a separate object [Kim, by Lewis]