Phronesis 64 (4):465-513 (2019)

Authors
Emily Katz
Michigan State University
Abstract
There is little agreement about Aristotle’s philosophy of geometry, partly due to the textual evidence and partly part to disagreement over what constitutes a plausible view. I keep separate the questions ‘What is Aristotle’s philosophy of geometry?’ and ‘Is Aristotle right?’, and consider the textual evidence in the context of Greek geometrical practice, and show that, for Aristotle, plane geometry is about properties of certain sensible objects—specifically, dimensional continuity—and certain properties possessed by actual and potential compass-and-straightedge drawings qua quantitative and continuous. For their part, the objects of stereometry are potential sensible three-dimensional figures qua quantitative and continuous.
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DOI 10.1163/15685284-12341992
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References found in this work BETA

The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History.Reviel Netz - 1999 - Cambridge and New York: Cambridge University Press.
Aristotle's Metaphysics. Aristotle - 1924 - Clarendon Press.

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Citations of this work BETA

Does Frege Have Aristotle's Number?Emily Katz - forthcoming - Journal of the American Philosophical Association:1-19.

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