The continuous and the discrete: ancient physical theories from a contemporary perspective

New York: Oxford University Press (1992)
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Abstract

This book presents a detailed analysis of three ancient models of spatial magnitude, time, and local motion. The Aristotelian model is presented as an application of the ancient, geometrically orthodox conception of extension to the physical world. The other two models, which represent departures from mathematical orthodoxy, are a "quantum" model of spatial magnitude, and a Stoic model, according to which limit entities such as points, edges, and surfaces do not exist in (physical) reality. The book is unique in its discussion of these ancient models within the context of later philosophical, scientific, and mathematical developments.

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Citations of this work

Aristotelian finitism.Tamer Nawar - 2015 - Synthese 192 (8):2345-2360.
Aristotle and mathematics.Henry Mendell - 2008 - Stanford Encyclopedia of Philosophy.
Infinitesimal Gunk.Lu Chen - 2020 - Journal of Philosophical Logic 49 (5):981-1004.

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