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19093 | Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth] |
Full Idea: Ancient mathematical concepts were essentially sensory; they were not mathematical in our sense - that is, wholly constituted by their inferential potential. | |
From: Danielle Macbeth (Pragmatism and Objective Truth [2007], p.187) | |
A reaction: The latter view is Frege's, though I suppose it had been emerging for a couple of centuries before him. I like the Greek approach, and would love to see that reunited with the supposedly quite different modern view. (Keith Hossack is attempting it). |