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© 1989

Proof Theory

An Introduction

Book

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

  1. 1.Institut für Mathematische Logik und GrundlagenforschungWestfälische Wilhelms-UniversitätMünsterGermany

Bibliographic information

  • Book Title Proof Theory
  • Book Subtitle An Introduction
  • Authors Wolfram Pohlers
  • Series Title Lecture Notes in Mathematics
  • 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
  • Softcover ISBN 978-3-540-51842-6
  • eBook ISBN 978-3-540-46825-7
  • Series ISSN 0075-8434
  • Edition Number 1
  • Number of Pages VIII, 220
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Mathematical Logic and Foundations
    Number Theory
  • Buy this book on publisher's site
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