Combining Texts

All the ideas for 'Mathematics without Numbers', 'Survival and Identity, with postscript' and 'De aequopollentia causae et effectus'

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Everything has a fixed power, as required by God, and by the possibility of reasoning [Leibniz]
10. Modality / A. Necessity / 4. De re / De dicto modality
De re modal predicates are ambiguous [Lewis, by Rudder Baker]