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Table of contents (11 chapters)
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Front Matter
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The Emergence of Sets within Mathematics
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Front Matter
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Entering the Labyrinth — Toward Abstract Set Theory
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Front Matter
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In Search of an Axiom System
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Front Matter
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Back Matter
Keywords
About this book
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)
Reviews
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)
Authors and Affiliations
Bibliographic Information
Book Title: Labyrinth of Thought
Book Subtitle: A History of Set Theory and Its Role in Modern Mathematics
Authors: José Ferreirós
Series Title: Science Networks. Historical Studies
DOI: https://doi.org/10.1007/978-3-0348-5049-0
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Basel 1999
eBook ISBN: 978-3-0348-5049-0Published: 22 November 2013
Series ISSN: 1421-6329
Series E-ISSN: 2296-6080
Edition Number: 1
Number of Pages: XXI, 440
Topics: History of Mathematical Sciences
Industry Sectors: Electronics