Combining Texts

All the ideas for 'Mathematics without Numbers', 'Philosophical Letters from England' and 'Leibniz: Guide for the Perplexed'

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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]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
23. Ethics / B. Contract Ethics / 2. Golden Rule
The Golden Rule is accepted everywhere, and gives a fixed target for morality [Voltaire]