Combining Texts

All the ideas for 'Mathematics without Numbers', 'Primary Truths' 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]

12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities

9155	An a priori proof is independent of experience [Leibniz]

13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention

1556	By nature people are close to one another, but culture drives them apart [Hippias]