Proof Theory

An Introduction

  • Wolfram Pohlers

Part of the Lecture Notes in Mathematics book series (LNM, volume 1407)

About this book

Introduction

Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. The "constructive" consequences of ordinal analysis are sketched out in the epilogue. The book provides a self-contained treatment assuming no prior knowledge of proof theory and almost none of logic. The author has, moreover, endeavoured not to use the "cabal language" of proof theory, but only a language familiar to most readers.

Keywords

calculus number theory proof proof theory

Authors and affiliations

  • Wolfram Pohlers
    • 1
  1. 1.Institut für Mathematische Logik und GrundlagenforschungWestfälische Wilhelms-UniversitätMünsterGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-46825-7
  • Copyright Information Springer Berlin Heidelberg 1989
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51842-6
  • Online ISBN 978-3-540-46825-7
  • Series Print ISSN 0075-8434
  • About this book