Combining Philosophers

Ideas for Lynch,MP/Glasgow,JM, Roger Scruton and Seymour Lipschutz

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2 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]
	Full Idea: Could someone have a perfect intellectual acquaintance with numbers, but be incapable of counting a flock of sheep?
	From: Roger Scruton (Modern Philosophy:introduction and survey [1994], 26.6)

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]
	Full Idea: If there can be unprovable truths of mathematics, then mathematics cannot be reduced to the proofs whereby we construct it.
	From: Roger Scruton (Modern Philosophy:introduction and survey [1994], 26.7)