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Lectures in logic and set theory . Volume 2 Set theory / / George Tourlakis [[electronic resource]]



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Autore: Tourlakis George J. Visualizza persona
Titolo: Lectures in logic and set theory . Volume 2 Set theory / / George Tourlakis [[electronic resource]] Visualizza cluster
Pubblicazione: Cambridge : , : Cambridge University Press, , 2003
Descrizione fisica: 1 online resource (xv, 575 pages) : digital, PDF file(s)
Disciplina: 511.3
Soggetto topico: Logic, Symbolic and mathematical
Set theory
Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Nota di bibliografia: Includes bibliographical references and indexes.
Nota di contenuto: Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; I A Bit of Logic: A User's Toolbox; II The Set-Theoretic Universe, Naïvely; III The Axioms of Set Theory; IV The Axiom of Choice; V The Natural Numbers; Transitive Closure; VI Order; VII Cardinality; VIII Forcing; Bibliography; List of Symbols; Index
Sommario/riassunto: This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.
Altri titoli varianti: Lectures in Logic & Set Theory
Titolo autorizzato: Lectures in logic and set theory  Visualizza cluster
ISBN: 1-107-12857-9
1-280-41777-3
9786610417773
1-139-14854-0
0-511-18061-6
0-511-06659-7
0-511-06028-9
0-511-30271-1
0-511-61556-6
0-511-06872-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910783127203321
Lo trovi qui: Univ. Federico II
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Serie: Cambridge studies in advanced mathematics ; ; 83.