Combining Texts

All the ideas for 'works', 'Aristotle on Friendship' and 'Mathematics without Numbers'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
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]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
The Greek 'philia' covers all good and fruitful relationships [Cooper,JM]