Lectures In Logic And Set Theory Vol. 1

Klappentext 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 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem. Zusammenfassung This work includes formal proof techniques! a section on applications of compactness! a generous dose of computability and its relation to the incompleteness phenomenon! and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem. Inhaltsverzeichnis Preface; 1. Basic logic; 2. The second incompleteness theorem; Bibliography; List of symbols; Index.

Produktdetails

• Autoren: Tourlakis George, George Tourlakis
• Mitarbeit: Bela Bollobas (Herausgeber), W. Fulton (Herausgeber)
• Verlag: Cambridge University Press Academic
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 09.01.2003
• EAN: 9780521753739
• ISBN: 978-0-521-75373-9
• Abmessung: 156 mm x 235 mm x 20 mm
• Serie: Cambridge Studies in Advanced
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Sonstiges