Combining Texts

All the ideas for 'Mathematics without Numbers', 'Mathematical Thought from Ancient to Modern Times' and 'Hobbes'

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5 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17606

Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline]

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]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

7413	Without confidence in our beliefs, how should we actually live? [Tuck]