Aspects of Incompleteness

This volume presents some of the main areas and results of general metamathematics, including the results of Gödel et al. on incompleteness.

Per Lindström (Author)

9781107167926, Cambridge University Press

Hardback, published 2 March 2017

142 pages, 115 exercises
23.5 x 15.6 x 1.5 cm, 0.3 kg

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.

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.

Subject Areas: Mathematical logic [PBCD], Philosophy: logic [HPL]