Combining Texts

All the ideas for 'Mathematics without Numbers', 'Summa' and 'Necessary Truth'

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6 ideas

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]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
16616 Substances 'substand' (beneath accidents), or 'subsist' (independently) [Eustachius]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
16585 Prime matter is free of all forms, but has the potential for all forms [Eustachius]
10. Modality / A. Necessity / 11. Denial of Necessity
4577 There is no necessity higher than natural necessity, and that is just regularity [Quine]