Skip to main content
SpringerLink
Log in

Zermelo’s Axiom of Choice

Its Origins, Development, and Influence

  • Book
  • © 1982

Overview

Authors:
  1. Gregory H. Moore

    1. Department of Mathematics and Institute for History and Philosophy of Science and Technology, University of Toronto, Toronto, Canada

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Studies in the History of Mathematics and Physical Sciences (HISTORY, volume 8)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Prologue

    • Gregory H. Moore
    Pages 1-4

  3. The Prehistory of the Axiom of Choice

    • Gregory H. Moore
    Pages 5-84

  4. Zermelo and His Critics (1904–1908)

    • Gregory H. Moore
    Pages 85-141

  5. Zermelo’s Axiom and Axiomatization in Transition (1908–1918)

    • Gregory H. Moore
    Pages 142-195

  6. The Warsaw School, Widening Applications, Models of Set Theory (1918–1940)

    • Gregory H. Moore
    Pages 196-292

  7. Epilogue: After Gödel

    • Gregory H. Moore
    Pages 293-307

  8. Conclusion

    • Gregory H. Moore
    Pages 308-310

  9. Back Matter

    Pages 311-411
    Download chapter PDF
Back to top

Keywords

About this book

This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography.

Authors and Affiliations

  • Department of Mathematics and Institute for History and Philosophy of Science and Technology, University of Toronto, Toronto, Canada

    Gregory H. Moore

Bibliographic Information

  • Book Title: Zermelo’s Axiom of Choice

  • Book Subtitle: Its Origins, Development, and Influence

  • Authors: Gregory H. Moore

  • Series Title: Studies in the History of Mathematics and Physical Sciences

  • DOI: https://doi.org/10.1007/978-1-4613-9478-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1982

  • Softcover ISBN: 978-1-4613-9480-8Published: 01 December 2011

  • eBook ISBN: 978-1-4613-9478-5Published: 06 December 2012

  • Series ISSN: 0172-570X

  • Edition Number: 1

  • Number of Pages: XIV, 412

  • Topics: Mathematical Logic and Foundations

Publish with us

Policies and ethics

Back to top

Search

Navigation