Zermelo’s Axiom of Choice

Its Origins, Development, and Influence

  • Gregory H. Moore

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

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Gregory H. Moore
    Pages 1-4
  3. Gregory H. Moore
    Pages 5-84
  4. Gregory H. Moore
    Pages 85-141
  5. Gregory H. Moore
    Pages 293-307
  6. Gregory H. Moore
    Pages 308-310
  7. Back Matter
    Pages 311-411

About this book

Introduction

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.

Keywords

Auswahlaxiom Choice Development axiom of choice boundary element method form history of mathematics mathematics object philosophy proof proposition set theory story time

Authors and affiliations

  • Gregory H. Moore
    • 1
  1. 1.Department of Mathematics and Institute for History and Philosophy of Science and TechnologyUniversity of TorontoTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-9478-5
  • Copyright Information Springer-Verlag New York 1982
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-9480-8
  • Online ISBN 978-1-4613-9478-5
  • Series Print ISSN 0172-570X
  • About this book