Combining Philosophers

All the ideas for Anaxarchus, Geoffrey Hellman and Frances A. Yates

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8 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
The dating, in 1614, of the Hermetic writings as post-Christian is the end of the Renaissance [Yates]
The magic of Asclepius enters Renaissance thought mixed into Ficino's neo-platonism [Yates]
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]