Aspects of Incompleteness
Per Lindström
Year: 2017
ISBN: 9781107167926
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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.
Table of Contents
- Preface
- Introduction
- Preliminaries
- Incompleteness
- Numerations of r.e. sets
- Axiomatizations
- Partial conservativity
- Interpretability
- Degrees of interpretabilty
- Generations
- References
- Index
- Notation