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The Continuity Debate: Dedekind, Cantor, du Bois-Reymond, and Peirce on Continuity and Infinitesimals\nProduct Details\n--Publisher: Docent Press\n--Publication date: 19.12.2012\n--Language: English\n--Print length: 182 pages\n--ISBN-13: 978-0983700487\n--Item weight: 249 g\n--Dimensions: 15.2 x 1 x 22.9 cm\n--Binding: paperback\n--Author: Buckley, Benjamin Lee\n\nThe topic of this book is the historical struggle to define and defend a real number continuum which could do the work limit theory required of it. These definitions drew heavily on philosophical and foundational assumptions, and each raises numerous philosophical questions of its own. As we shall see, attempts to formulate a non-geometrical mathematical continuity raise questions such as: What is a number? What, in particular, is a real number? What is the true nature of continuity itself? Does a philosophically coherent definition of continuity logically commit us to infinitesimally small quantities? Is the concept of an .
The Continuity Debate: Dedekind, Cantor, du Bois-Reymond, and Peirce on Continuity and Infinitesimals\nProduct Details\n--Publisher: Docent Press\n--Publication date: 19.12.2012\n--Language: English\n--Print length: 182 pages\n--ISBN-13: 978-0983700487\n--Item weight: 249 g\n--Dimensions: 15.2 x 1 x 22.9 cm\n--Binding: paperback\n--Author: Buckley, Benjamin Lee\n\nThe topic of this book is the historical struggle to define and defend a real number continuum which could do the work limit theory required of it. These definitions drew heavily on philosophical and foundational assumptions, and each raises numerous philosophical questions of its own. As we shall see, attempts to formulate a non-geometrical mathematical continuity raise questions such as: What is a number? What, in particular, is a real number? What is the true nature of continuity itself? Does a philosophically coherent definition of continuity logically commit us to infinitesimally small quantities? Is the concept of an .
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