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  • © 1999

Labyrinth of Thought

A History of Set Theory and Its Role in Modern Mathematics

Birkhäuser

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Part of the book series: Science Networks. Historical Studies (SNHS, volume 23)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxi
  2. The Emergence of Sets within Mathematics

    1. Front Matter

      Pages 1-2
    2. The Real Number System

      • José Ferreirós
      Pages 117-144
    3. Origins of the Theory of Point-Sets

      • José Ferreirós
      Pages 145-168
  3. Entering the Labyrinth — Toward Abstract Set Theory

    1. Front Matter

      Pages 169-169
    2. Sets and Maps as a Foundation for Mathematics

      • José Ferreirós
      Pages 215-255
  4. In Search of an Axiom System

    1. Front Matter

      Pages 297-298
    2. Diffusion, Crisis, and Bifurcation: 1890 to 1914

      • José Ferreirós
      Pages 299-336
    3. Logic and Type Theory in the Interwar Period

      • José Ferreirós
      Pages 337-364
    4. Consolidation of Axiomatic Set Theory

      • José Ferreirós
      Pages 365-392
  5. Back Matter

    Pages 393-440

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

  • Dpto. de Filosofía y Lógica, Avda. San Francisco Javier, s/n, Universidad de Sevilla, Sevilla, Spain

    José Ferreirós

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

  • 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

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access