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Ideas for 'Precis of 'Limits of Abstraction'', 'A Subject with No Object' and 'Leibniz'

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5 ideas

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

9923	We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]

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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

9925	Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

9934	Number words became nouns around the time of Plato [Burgess/Rosen]