Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Web of Belief' and 'On the Concept of Character'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian]
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 / 2. Elements of Virtue Theory / e. Character
We see our character as a restricting limit, but also as an unshakable support [Weil]
The concept of character is at the centre of morality [Weil]
We don't see character in a single moment, but only over a period of time [Weil]
We modify our character by placing ourselves in situations, or by attending to what seems trivial [Weil]