Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Lagoon: how Aristotle invented science' and 'Constitutional Code I'

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5 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
The Pre-Socratics are not simple naturalists, because they do not always 'leave the gods out' [Leroi]
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 / C. The Good / 3. Pleasure / b. Types of pleasure
Prejudice apart, push-pin has equal value with music and poetry [Bentham]