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9974 | Ten sheep and ten dogs are the same numerically, but it is not the same ten [Aristotle] |
Full Idea: If there are ten sheep and ten dogs, the number is the same (because it does not differ by a numerical difference), but it is not the same ten (because the objects it is predicated of are different - dogs in one instance, horses in the other). | |
From: Aristotle (Physics [c.337 BCE], 224a2-14) | |
A reaction: Mega! Abstract objects are unique, and can't be 'added' to themselves. I think we need 'units' here, because 2+2 adds four units, so each 2 refers to something different. '2' must refer to something other than itself. |