Combining Philosophers

All the ideas for Anaxarchus, Geoffrey Hellman and Julia Driver

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12 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
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]
Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
Motives produce intentions, which lead to actions [Driver]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Good intentions are not necessary for virtue [Driver]
Virtue should be defined by consequences, not by states of mind [Driver]
Virtues are character traits or dispositions which produce good consequences for others [Driver]
Control of pregnancy and knowledge of paternity have downgraded chastity [Driver]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
If generosity systematically turned recipients into parasites, it wouldn't be a virtue [Driver]