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Ideas for 'Precis of 'Limits of Abstraction'', 'Modern Philosophy:introduction and survey' and 'The New Institutional Theory of Art'

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4 ideas

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

3907	Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton]

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 / 10. Constructivism / b. Intuitionism

3908	If maths contains unprovable truths, then maths cannot be reduced to a set of proofs [Scruton]