Combining Philosophers

All the ideas for David M. Rosenthal, Nicholas P. White and Paul J. Cohen

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4 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
We could accept the integers as primitive, then use sets to construct the rest [Cohen]
16. Persons / C. Self-Awareness / 1. Introspection
Introspection is not perception, because there are no extra qualities apart from the mental events themselves [Rosenthal]