Combining Texts

All the ideas for 'Mathematics without Numbers', 'Philosophy of Natural Science' and 'Letters to Leibniz'

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5 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
No one can conceive of a possible substance, apart from those which God has created [Arnauld]
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]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Scientific explanation aims at a unifying account of underlying structures and processes [Hempel]