Lectures in logic and set theory: set theory, Vol. 2
Tourlakis, George
Lectures in logic and set theory: set theory, Vol. 2 - Cambridge: Cambridge University Press, 2003. - xv, 575p. : ill. ; pb. ; 24 cm. - Cambridge studies in advanced mathematics ; 83 .
Includes bibliographical references and indexes.
Electronic reproduction. UK : MyiLibrary, 2007. Available via World Wide Web. Access may be limited to MIL affiliated libraries.
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.
9780521168489
Logic, Symbolic and mathematica
Set theory
Mathematical logic
General principles of mathematics
Mathematics
511.3 / TOU
Lectures in logic and set theory: set theory, Vol. 2 - Cambridge: Cambridge University Press, 2003. - xv, 575p. : ill. ; pb. ; 24 cm. - Cambridge studies in advanced mathematics ; 83 .
Includes bibliographical references and indexes.
Electronic reproduction. UK : MyiLibrary, 2007. Available via World Wide Web. Access may be limited to MIL affiliated libraries.
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.
9780521168489
Logic, Symbolic and mathematica
Set theory
Mathematical logic
General principles of mathematics
Mathematics
511.3 / TOU
