Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, J. Alberto Coffa and Nicholas P. White

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8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

18270

Choice suggests that intensions are not needed to ensure classes [Coffa]

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

17813

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

17812

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

12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic

18263

The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa]

12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori

18272

Platonism defines the a priori in a way that makes it unknowable [Coffa]

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

20653

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

15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind

18266

Mathematics generalises by using variables [Coffa]

27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time

18279

Relativity is as absolutist about space-time as Newton was about space [Coffa]