Combining Philosophers

All the ideas for Rescher,N/Oppenheim,P, Anaximenes and Nicholas P. White

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4 ideas

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]

9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts

12887

A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances

1497	For Anaximenes nature is air, which takes different forms by rarefaction and condensation [Anaximenes, by Simplicius]