Combining Texts

All the ideas for 'Mathematics without Numbers', 'Scientific Explanation and the Causal Structure of the World' and 'Does Moral Subjectivism Rest on a Mistake?'

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8 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]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Causation produces productive mechanisms; to understand the world, understand these mechanisms [Salmon]
Salmon's interaction mechanisms needn't be regular, or involving any systems [Glennan on Salmon]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / f. Ethical non-cognitivism
Non-cognitivists give the conditions of use of moral sentences as facts about the speaker [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
The mistake is to think good grounds aren't enough for moral judgement, which also needs feelings [Foot]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Moral arguments are grounded in human facts [Foot]