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

• Autore: Tourlakis George J.
• 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
• 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
• Serie: Cambridge studies in advanced mathematics ; ; 83.