Set Theory and the Continuum Problem

Martin Davis

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Langue : anglais

Edité par Dover Publications Inc., 2010

0486474844 / 9780486474847

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A propos de cet article

A lucid, elegant, and complete survey of set theory, this volume is drawn from the authors' substantial teaching experience. The first of three parts focuses on axiomatic set theory. The second part explores the consistency of the continuum hypothesis, and the final section examines forcing and independence results. Part One's focus on axiomatic set theory features nine chapters that examine problems related to size comparisons between infinite sets, basics of class theory, and natural numbers. Additional topics include author Raymond Smullyan's double induction principle, super induction, ordinal numbers, order isomorphism and transfinite recursion, and the axiom of foundation and cardinals. The six chapters of Part Two address Mostowski-Shepherdson mappings, reflection principles, constructible sets and constructibility, and the continuum hypothesis. The text concludes with a seven-chapter exploration of forcing and independence results. This treatment is noteworthy for its clear explanations of highly technical proofs and its discussions of countability, uncountability, and mathematical induction, which are simultaneously charming for experts and understandable to graduate students of mathematics.…

N° de réf. du vendeur 00104629186

Titre
Set Theory and the Continuum Problem
Auteur
Martin Davis
Éditeur
Dover Publications Inc.
Année de publication
2010
État de l'article
Fair
Reliure
Paperback
Langue
anglais
ISBN à 10 chiffres
0486474844
ISBN à 13 chiffres
9780486474847

World of Books (was SecondSale)

Montgomery, IL, Etats-Unis

Vendeur avec une évaluation de 5 étoiles

Vendeur AbeBooks depuis 20 décembre 2007

Frais d'expédition à l'intérieur de ce pays : Etats-Unis

Article4 à 12 jours ouvrés3 à 6 jours ouvrés
Premier articleEUR 0,00EUR 9,76
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