Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Nicholas P. White and Mary Anne Warren

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4 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

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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

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Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction

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Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]

16. Persons / A. Concept of a Person / 1. Existence of Persons

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Persons must be conscious, reasoning, motivated, communicative, self-aware [Warren, by Tuckness/Wolf]