Combining Texts

All the ideas for 'Mathematics without Numbers', 'Moral Luck' and 'Consistency and realism (with 1972 note)'

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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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
We tolerate inconsistency in ethics but not in other beliefs (which reflect an independent order) [Williams,B, by Foot]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
If all that matters in morality is motive and intention, that makes moral luck irrelevant [Williams,B]