Proof theory : an introduction

Bibliographic Information

Proof theory : an introduction

Wolfram Pohlers

(Lecture notes in mathematics, 1407)

Springer-Verlag, c1989

  • : gw
  • : us

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Note

Bibliography: p. 190-207

Includes index

Description and Table of Contents

Description

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.

Table of Contents

Ordinal Analysis of Pure Number Theory.- The autonomous ordinal of the infinitary system Z? and the limits of predicativity.- Ordinal analysis of the formal theory for noniterated inductive definitions.

by "Nielsen BookData"

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Details

  • NCID
    BA07524444
  • ISBN
    • 3540518428
    • 0387518428
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; Tokyo
  • Pages/Volumes
    vi, 213 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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