Science Networks. Historical Studies

Labyrinth of Thought

A History of Set Theory and Its Role in Modern Mathematics

Authors: Ferreiros, Jose

Editors: Hiebert, Erwin, Knobloch, Eberhard, Scholz, Erhard (Eds.)

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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)


Table of contents (11 chapters)

Table of contents (11 chapters)
  • Institutional and Intellectual Contexts in German Mathematics, 1800–1870

    Pages 3-38

    Ferreirós, José

  • A New Fundamental Notion: Riemann’s Manifolds

    Pages 39-80

    Ferreirós, José

  • Dedekind and the Set-theoretical Approach to Algebra

    Pages 81-116

    Ferreirós, José

  • The Real Number System

    Pages 117-144

    Ferreirós, José

  • Origins of the Theory of Point-Sets

    Pages 145-168

    Ferreirós, José

Buy this book

eBook n/a
  • ISBN 978-3-0348-5049-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
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Bibliographic Information

Bibliographic Information
Book Title
Labyrinth of Thought
Book Subtitle
A History of Set Theory and Its Role in Modern Mathematics
Authors
Editors
  • Erwin Hiebert
  • Eberhard Knobloch
  • Erhard Scholz
Series Title
Science Networks. Historical Studies
Series Volume
23
Copyright
1999
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-0348-5049-0
DOI
10.1007/978-3-0348-5049-0
Series ISSN
1421-6329
Edition Number
1
Number of Pages
XXI, 440
Topics