Authors
Edward Halper
University of Georgia
Abstract
Jacob Klein raises two important questions about Aristotle’s account of number: How does the intellect come to grasp a sensible as an intelligible unit? What makes a collection of these intelligible units into one number? His answer to both questions is “abstraction.” First, we abstract a thing’s sensible characteristics to grasp it as a noetic unit. Second, after counting like things, we again disregard their other characteristics and grasp the group as a noetic entity composed of “pure” units. As Klein explains them, Aristotle’s numbers are each “heaps” of counted units; in contrast, each of Plato’s numbers is one. This paper argues that Klein is right to understand a noetic unit existing in the sensible entity, but that his answer to the second question is not consonant with Aristotle’s insistence that Plato cannot account for the unity of a number, whereas he can. Slightly modifying Klein’s analysis, I show that Aristotle’s numbers are each one.
Keywords Continental Philosophy  History of Philosophy
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ISBN(s) 1533-7472
DOI nyppp20111112
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