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Ideas for 'Precis of 'Limits of Abstraction'', 'Knowing One's Own Mind' and 'Apriority and Existence'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

8865	If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise? [Yablo]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle

10529

If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]

10530

Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

8863	We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo]

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics

8862	Platonic objects are really created as existential metaphors [Yablo]