Lectures in Logic and Set Theory: Volume 1, Mathematical Logic
Seiten
2003
Cambridge University Press (Verlag)
978-0-521-75373-9 (ISBN)
Cambridge University Press (Verlag)
978-0-521-75373-9 (ISBN)
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.
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.
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.
Preface; 1. Basic logic; 2. The second incompleteness theorem; Bibliography; List of symbols; Index.
| Erscheint lt. Verlag | 9.1.2003 |
|---|---|
| Reihe/Serie | Cambridge Studies in Advanced Mathematics |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 157 x 234 mm |
| Gewicht | 670 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 0-521-75373-2 / 0521753732 |
| ISBN-13 | 978-0-521-75373-9 / 9780521753739 |
| Zustand | Neuware |
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