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10735 | Abstraction from objects won't reveal an operation's being performed 'so many times' [Geach] |
Full Idea: For an understanding of arithmetic the grasp of an operation's being performed 'so many times' is quite indispensable; and abstraction of a feature from groups of nuts cannot give us this grasp. | |
From: Peter Geach (Abstraction Reconsidered [1983], p.170) | |
A reaction: I end up defending the empirical approach to arithmetic because remarks like this are so patently false. Geach seems to think we arrive ready-made in the world, just raring to get on with some counting. He lacks the evolutionary perspective. |