Combining Texts

All the ideas for 'Mathematics without Numbers', 'Paradox without Self-Reference' and 'The Inference to the Best Explanation'

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5 ideas

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox

9138	An infinite series of sentences asserting falsehood produces the paradox without self-reference [Yablo, by Sorensen]

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]

14. Science / D. Explanation / 3. Best Explanation / a. Best explanation

17060

Best Explanation is the core notion of epistemology [Harman, by Smart]