Aristotle's Measuring Dilemma

Oxford Studies in Ancient Philosophy 52:257-301 (2017)
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Abstract

This paper has two main goals: first, it reconstructs Aristotle’s account of measurement in his Metaphysics and shows how it connects to modern notions of measurement. Second, it demonstrates that Aristotle’s notion of measurement only works for simple measures, but leads him into a dilemma once it comes to measuring complex phenomena, like mo-tion, where two or more different aspects, such as time and space, have to be taken into account. This is shown with the help of Aristotle’s reaction to one of the problems Zeno’s dichotomy paradox raises: Aristotle implicitly employs a complex measure of motion when solving this problem, while he explicitly characterizes the measure of motion as a simple measure in his Physics.

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Barbara Michaela Sattler
University of St. Andrews

Citations of this work

Does Frege Have Aristotle's Number?Emily Katz - 2023 - Journal of the American Philosophical Association 9 (1):135-153.
Aristotle on Reasoning and Rational Animals.Ian C. McCready-Flora - 2023 - Australasian Journal of Philosophy 101 (2):470-485.
Three Ones and Aristotle’s 'Metaphysics'.Adam Crager - 2018 - Metaphysics 1 (1):110-134.

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References found in this work

Aristotle and mathematics.Henry Mendell - 2008 - Stanford Encyclopedia of Philosophy.
Aristotle, Number, and Time.J. Annas - 1975 - The Philosophical Quarterly 25 (99):97-113.
Metaphysics: A Revised Text with Introduction and Commentary. Aristotle - 1924 - In W. D. Ross (ed.). Oxford University Press.
The Notion of Continuity in Parmenides.Barbara Michaela Sattler - 2019 - Philosophical Inquiry 43 (1):40-53.

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