Combining Texts

All the ideas for 'fragments/reports', 'Reductive Theories of Modality' and 'On the Nature of Mathematical Reasoning'

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4 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Maybe what distinguishes philosophy from science is its pursuit of necessary truths [Sider]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]