Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Geoffrey Hellman and Joseph Priestley

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
8921 Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
8922 Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
15312 We get the idea of power by abstracting from ropes, magnets and electric shocks [Priestley]
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]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
15311 Attraction or repulsion are not imparted to matter, but actually constitute it [Priestley]