Aspects of Incompleteness

Erscheinungsjahr 2017
ISBN: 978-1-107-16792-6
Verlag: Cambridge University Press

Buch, Englisch, Band 10, 142 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 370 g

Reihe: Lecture Notes in Logic

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.

Autoren/Hrsg.

Lindström, Per

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie

Inhaltsverzeichnis

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.

Über Autor(innen)

Lindström, Per
Per Lindström works in the Department of Philosophy at Göteborgs Universitet, Sweden.