Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Daniel Garber and Nicholas P. White

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5 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]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Epicurean atomists say body is sensible, to distinguish it from space. [Garber]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
Epicurean atoms are distinguished by their extreme hardness [Garber]