The Continuous and the Discrete : Ancient Physical Theories from a Contemporary Perspective

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The Continuous and the Discrete : Ancient Physical Theories from a Contemporary Perspective

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  • 製本 Hardcover:ハードカバー版／ページ数 360 p.
  • 言語 ENG
  • 商品コード 9780198239529
  • DDC分類 185

基本説明

Presents a detailed analysis of three ancient models of spatial magnitude, time, and local motion.

Full Description

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: it is a model which represents 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.

Contents

I. Spatial magnitude, time, and motion: An Aristotelian model: Aristotle: The formal analysis of spatial magnitude and locomotion; Aristotle on time and locomotion: Physics and metaphysics; Aristotelian kinematics and non-locomotive Kineseis; Aristotle and the mathematicians, ancient and modern; II. Spatial magnitude, time, and motion: Alternatives to Aristotelianism; The quantum model: Spatial magnitude; The quantum model: Time and locomotion; The Stoic model; Peroration.