Studies in the History of Mathematics and Physical Sciences

Zermelo’s Axiom of Choice

Its Origins, Development, and Influence

Authors: Moore, G.H.

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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.

Table of contents (7 chapters)

  • Prologue

    Moore, Gregory H.

    Pages 1-4

  • The Prehistory of the Axiom of Choice

    Moore, Gregory H.

    Pages 5-84

  • Zermelo and His Critics (1904–1908)

    Moore, Gregory H.

    Pages 85-141

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

    Moore, Gregory H.

    Pages 142-195

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

    Moore, Gregory H.

    Pages 196-292

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-1-4613-9478-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-1-4613-9480-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Zermelo’s Axiom of Choice
Book Subtitle
Its Origins, Development, and Influence
Authors
Series Title
Studies in the History of Mathematics and Physical Sciences
Series Volume
8
Copyright
1982
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4613-9478-5
DOI
10.1007/978-1-4613-9478-5
Softcover ISBN
978-1-4613-9480-8
Series ISSN
0172-570X
Edition Number
1
Number of Pages
XIV, 412
Topics