An Absurd Accumulation: Metaphysics M.2, 1076b11-36

Phronesis 59 (4):343-368 (2014)

Authors
Emily Katz
Michigan State University
Abstract
The opening argument in the Metaphysics M.2 series targeting separate mathematical objects has been dismissed as flawed and half-hearted. Yet it makes a strong case for a point that is central to Aristotle’s broader critique of Platonist views: if we posit distinct substances to explain the properties of sensible objects, we become committed to an embarrassingly prodigious ontology. There is also something to be learned from the argument about Aristotle’s own criteria for a theory of mathematical objects. I hope to persuade readers of Metaphysics M.2 that Aristotle is a more thoughtful critic than he is often taken to be.
Keywords Aristotle  Metaphysics M  mathematical objects
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DOI 10.1163/15685284-12341272
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The Complete Works of Aristotle. The Revised Oxford Translation.Jonathan Barnes - 1986 - Revue Philosophique de la France Et de l'Etranger 176 (4):493-494.
Separation.Gail Fine - 1984 - Oxford Studies in Ancient Philosophy 2:31-87.
Aristotle on the Many Senses of Priority.John J. CLEARY - 1988 - Southern Illinois University.

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