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Record Nr. |
UNINA9910829176203321 |
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Autore |
Tourlakis George J. |
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Titolo |
Lectures in logic and set theory . Volume 2 Set theory / / George Tourlakis [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2003 |
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ISBN |
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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 |
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Descrizione fisica |
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1 online resource (xv, 575 pages) : digital, PDF file(s) |
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Collana |
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Cambridge studies in advanced mathematics ; ; 83 |
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Disciplina |
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Soggetti |
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Logic, Symbolic and mathematical |
Set theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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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. |
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