Aspects of Incompleteness
Seiten
2017
Cambridge University Press (Verlag)
978-1-107-16792-6 (ISBN)
Cambridge University Press (Verlag)
978-1-107-16792-6 (ISBN)
This volume presents some of the main areas and results of general metamathematics. In addition to standard results of Gödel et al. on incompleteness, (non-)finite axiomatizability, and interpretability, the book contains a thorough treatment of partial conservativity and degrees of interpretability. The method of arithmetization also plays an important role.
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the tenth publication in the Lecture Notes in Logic series, Per Lindström presents some of the main topics and results in general metamathematics. In addition to standard results of Gödel et al. on incompleteness, (non-)finite axiomatizability, and interpretability, this book contains a thorough treatment of partial conservativity and degrees of interpretability. It comes complete with exercises, and will be useful as a textbook for graduate students with a background in logic, as well as a valuable resource for researchers.
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the tenth publication in the Lecture Notes in Logic series, Per Lindström presents some of the main topics and results in general metamathematics. In addition to standard results of Gödel et al. on incompleteness, (non-)finite axiomatizability, and interpretability, this book contains a thorough treatment of partial conservativity and degrees of interpretability. It comes complete with exercises, and will be useful as a textbook for graduate students with a background in logic, as well as a valuable resource for researchers.
Per Lindström works in the Department of Philosophy at Göteborgs Universitet, Sweden.
Preface; Introduction; 1. Preliminaries; 2. Incompleteness; 3. Numerations of r.e. sets; 4. Axiomatizations; 5. Partial conservativity; 6. Interpretability; 7. Degrees of interpretabilty; 8. Generations; References; Index; Notation.
| Erscheinungsdatum | 28.02.2017 |
|---|---|
| Reihe/Serie | Lecture Notes in Logic |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 156 x 235 mm |
| Gewicht | 300 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| ISBN-10 | 1-107-16792-2 / 1107167922 |
| ISBN-13 | 978-1-107-16792-6 / 9781107167926 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Hardcover (2023)
Hanser, Carl (Verlag)
CHF 41,95
