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Ideas for 'German Philosophy: a very short introduction', 'Pragmatism and Objective Truth' and 'The Fragmentation of Value'

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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
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).