Title The continuous and the discrete : ancient physical theories from a contemporary perspective / Michael J. White

Published Oxford : Clarendon Press ; New York : Oxford University Press, 1992

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Description 1 online resource (xiv, 345 pages) : illustrations Contents Pt. 1. Spatial magnitude, time and motion: an Aristotelian model -- pt. 2. Spatial magnitude, time and motion: alternatives to Aristotelianism Summary The Continuous and the Discrete presents a detailed analysis of three ancient models of spatial magnitude, time, and local motion. Professor White connects the Aristotelian model, which represents spatial magnitude, time, and motion as infinitely divisible and continuous, with the standard ancient geometrical conception of extended magnitude. Thus the Aristotelian model is presented as the marriage of physical theory and mathematical orthodoxy. In the second half of the book the author discusses two ancient alternatives to the Aristotelian model: 'quantum' models, and a Stoic model according to which limit entities such as points, (one-dimensional) edges, and (two-dimensional) surfaces do not exist in (physical) reality. Both these alternative models deny the applicability of standard 'Euclidean' ancient geometry to the physical world. A unique feature of the book is the discussion of these ancient models within the context of later philosophical, scientific, and mathematical developments. A basic assumption of the author's approach is that such a contemporary perspective can deepen our understanding not only of ancient philosophy, physics, and mathematics, but also of later developments in the content and methodology of these disciplines Analysis Space-time Bibliography Includes bibliographical references (pages 331-338) and index Notes English Subject Aristotle SUBJECT Aristotle fast Raum, ... gnd Aristoteles. swd Subject Science -- Philosophy -- Mathematical models Metaphysics -- Mathematical models Mathematics -- Philosophy. Philosophy, Ancient. Mathematics -- Philosophy Metaphysics -- Mathematical models Philosophy, Ancient Science -- Philosophy -- Mathematical models Metaphysik Kosmologie Physikalische Theorie Kontinuum Naturphilosophie Zeit Bewegung Philosophie Physik Filosofie. Natuurwetenschappen. Klassieke oudheid. Griechenland Altertum Form Electronic book ISBN 0191679941 9780191679940 1280809159 9781280809156 9786610809158 6610809151

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