Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Stephen Wolfram and C.J. Thomae

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4 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
At one level maths and nature are very similar, suggesting some deeper origin [Wolfram]
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]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Thomae's idea of abstract from peculiarities gives a general concept, and leaves the peculiarities [Frege on Thomae]
27. Natural Reality / C. Space / 4. Substantival Space
Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram]