Star Wars Sale
 
 

Special Offers see all

Enter to WIN!

Weekly drawing for $100 credit. Subscribe to PowellsBooks.news for a chance to win.
Privacy Policy

More at Powell's


Recently Viewed clear list


The Powell's Playlist | June 18, 2014

Daniel H. Wilson: IMG The Powell’s Playlist: Daniel H. Wilson



Like many writers, I'm constantly haunting coffee shops with a laptop out and my headphones on. I listen to a lot of music while I write, and songs... Continue »
  1. $18.87 Sale Hardcover add to wish list

    Robogenesis

    Daniel H. Wilson 9780385537094

spacer
Qualifying orders ship free.
$24.95
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
Qty Store Section
1 Burnside - Bldg. 2 Mathematics- History
25 Remote Warehouse Mathematics- Logic and Philosophy

More copies of this ISBN

Zermelo's Axiom of Choice: Its Origins, Development, and Influence (Dover Books on Mathematics)

by

Zermelo's Axiom of Choice: Its Origins, Development, and Influence (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

The Axiom of Choice is the most controversial axiom in the entire history of mathematics. Yet it remains a crucial assumption not only in set theory but equally in modern algebra, analysis, mathematical logic, and topology (often under the name Zorn's Lemma). This treatment is the only full-length history of the axiom in English, and is much more complete than the two other books on the subject, one in French and the other in Russian. This book covers the Axiom's prehistory of implicit uses in the 19th century, its explicit formulation by Zermelo in 1904, the firestorm of controversy that it caused — in England, France, Germany, Italy, and the U.S. — its role in stimulating his axiomatization of set theory in 1908, and its proliferating uses all over mathematics throughout the 20th century.

The book is written so as to be accessible to the advanced mathematics undergraduate, but equally to be informative and stimulating to the professional mathematician. Most technical terms are defined in footnotes, making it accessible by students of the philosophy of mathematics as well.

This new edition has an expanded bibliography and a new preface examining developments since its original 1982 publication.

Synopsis:

This book chronicles Ernst Zermelo's development of set theory's crucial principle, the axiom of choice, including its initial controversy and its central place in set theory and mathematical logic. 1982 edition.

Synopsis:

This book chronicles the work of mathematician Ernst Zermelo (1871-1953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition.

Table of Contents

List of Symbols
Prologue
1. The Prehistory of the Axiom of Choice
2. Zermelo and His Critics (1904-1908)
3. Zermelo's Axiom and Axiomatization in Transition (1908-1918)
4. The Warsaw School, Widening Applications, Models of Set Theory (1918-1940)
Epilogue: After Gödel
Conclusion
Appendix 1. Five Letters on Set Theory
Appendix 2. Deductive Relations Concerning the Axiom of Choice
Journal Abbreviations Used in the Bibliography
Bibliography
Index of Numbered Propositions
General Index
 

Product Details

ISBN:
9780486488417
Author:
Moore, Gregory H
Publisher:
Dover Publications
Author:
Moore, Gregory H.
Author:
Mathematics
Subject:
Logic
Subject:
Axiom of choice.
Subject:
Ernst Zermelo
Subject:
mathematical logic
Subject:
Mathematics-Logic and Philosophy
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20130331
Binding:
TRADE PAPER
Language:
English
Pages:
446
Dimensions:
9.25 x 6.13 in

Other books you might like

  1. Euclid's Elements New Trade Paper $29.95
  2. The Historical Roots of Elementary... Used Trade Paper $9.00
  3. Magnificent Principia: Exploring... New Hardcover $26.00

Related Subjects


Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Logic and Philosophy

Zermelo's Axiom of Choice: Its Origins, Development, and Influence (Dover Books on Mathematics) New Trade Paper
0 stars - 0 reviews
$24.95 In Stock
Product details 446 pages Dover Publications - English 9780486488417 Reviews:
"Synopsis" by ,
This book chronicles Ernst Zermelo's development of set theory's crucial principle, the axiom of choice, including its initial controversy and its central place in set theory and mathematical logic. 1982 edition.
"Synopsis" by ,
This book chronicles the work of mathematician Ernst Zermelo (1871-1953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.