Combining Philosophers

All the ideas for Hesiod, Geoffrey Hellman and Theophrastus

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8 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 / E. Relativism / 6. Relativism Critique
How can we state relativism of sweet and sour, if they have no determinate nature? [Theophrastus]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / c. Purpose denied
Theophrastus doubted whether nature could be explained teleologically [Theophrastus, by Gottschalk]