| 书目名称 | The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics | | 编辑 | John L. Bell | | 视频video | | | 概述 | Explores the concept of the continuous and the infinitesimal.Combines a history of philosophy with contemporary mathematics.Gives a comprehensive historical and philosophical overview of the topic | | 丛书名称 | The Western Ontario Series in Philosophy of Science | | 图书封面 |  | | 描述 | .This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, ‘The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel..Examining the nineteenth and earlytwentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptio | | 出版日期 | Book 2019 | | 关键词 | Founding of the Infinitesimal Calculus; Brouwer on Divergent Conceptions of the Continuum; Eighteenth | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-18707-1 | | isbn_softcover | 978-3-030-18709-5 | | isbn_ebook | 978-3-030-18707-1Series ISSN 1566-659X Series E-ISSN 2215-1974 | | issn_series | 1566-659X | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 17:15:35
