Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Logic of Infinity' and 'fragments/reports'

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8698	Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]

9557	Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]

10263

Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism

18203

Avoid non-predicative classifications and definitions [Poincaré]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

6004	The cardinal virtues are theoretical (based on knowledge), and others are 'non-theoretical' [Hecato, by Dorandi]