David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Oxford University Press (1992)
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.
|Keywords||Science Mathematical models Metaphysics Mathematical models Mathematics Philosophy Philosophy, Ancient|
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|Call number||Q175.W569 1992|
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Citations of this work BETA
Stewart Shapiro & Geoffrey Hellman (forthcoming). Frege Meets Aristotle: Points as Abstracts. Philosophia Mathematica:nkv021.
Tamer Nawar (2015). Aristotelian Finitism. Synthese 192 (8):1-16.
Claudio Calosi & Vincenzo Fano (2014). Arrows, Balls and the Metaphysics of Motion. Axiomathes 24 (4):499-515.
Claudio Calosi & Vincenzo Fano (2015). Divisibility and Extension: A Note on Zeno’s Argument Against Plurality and Modern Mereology. Acta Analytica 30 (2):117-132.
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