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All the ideas for 'Frege's Theory of Numbers', 'works' and 'Precis of 'Limits of Abstraction''

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6 ideas

2. Reason / D. Definition / 2. Aims of Definition

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Definitions concern how we should speak, not how things are [Fine,K]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

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]

11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs

6672	Moore's Paradox: you can't assert 'I believe that p but p is false', but can assert 'You believe p but p is false' [Moore,GE, by Lowe]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

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An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]