Combining Texts

All the ideas for 'fragments/reports', 'Rechnungsmethoden (dissertation)' and 'On Multiplying Entities'

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8 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor

8208	In arithmetic, ratios, negatives, irrationals and imaginaries were created in order to generalise [Quine]

8207	The quest for simplicity drove scientists to posit new entities, such as molecules in gases [Quine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

18256

Quantity is inconceivable without the idea of addition [Frege]

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

9831	Geometry appeals to intuition as the source of its axioms [Frege]

7. Existence / B. Change in Existence / 4. Events / c. Reduction of events

8205	Explaining events just by bodies can't explain two events identical in space-time [Quine]

9. Objects / E. Objects over Time / 8. Continuity of Rivers

579	Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]

10. Modality / A. Necessity / 11. Denial of Necessity

8206	Necessity could be just generalisation over classes, or (maybe) quantifying over possibilia [Quine]

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

578	Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]