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2 ideas
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) |
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) |