Zermelo's Axiom of Choice: Its Origins, Development, and Influence

Gregory H Moore

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Lingua: inglese

Editore: Dover Publications Inc., 2013

0486488411 / 9780486488417

Da: World of Books Inc, Montgomery, IL, U.S.A.World of Books Inc

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Descrizione dell’articolo da parte del venditore

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.

Codice articolo CIN0486488411VG

Titolo
Zermelo's Axiom of Choice: Its Origins, Development, and Influence
Autore
Gregory H Moore
Editore
Dover Publications Inc.
Anno di pubblicazione
2013
Condizione
Very Good
Rilegatura
Paperback
Lingua
inglese
ISBN 10
0486488411
ISBN 13
9780486488417

World of Books Inc

Montgomery, IL, U.S.A.

Venditore con 4 stelle

Venditore AbeBooks dal 23 marzo 2026

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ArticoloDa 4 a 12 giorni lavorativiDa 3 a 6 giorni lavorativi
Primo articoloEUR 0,00EUR 9,54
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