Lectures in Logic and Set Theory | Buch

Cover: 9780521753746 | Lectures in Logic and Set Theory | Volume 2, Set Theory | Buch | 2014

Rückseite: 9780521753746 | Lectures in Logic and Set Theory | Volume 2, Set Theory | Buch | 2014

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

Preface; 1. A bit of logic: a user's toolbox; 2. The set-theoretic universe, naively; 3. The axioms of set theory; 4. The axiom of choice; 5. The natural numbers; transitive closure; 6. Order; 7. Cardinality; 8. Forcing; Bibliography; List of symbols; Index.

Details

Erscheinungsjahr:	2014
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
ISBN-13:	9780521753746
ISBN-10:	0521753740
Sprache:	Englisch
Einband:	Gebunden
Autor:	Tourlakis, George George, Tourlakis
Redaktion:	Bollobas, Bela
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 39 mm
Von/Mit:	George Tourlakis (u. a.)
Erscheinungsdatum:	01.10.2014
Gewicht:	1,1 kg