Proof theory : an introduction
Author(s)
Bibliographic Information
Proof theory : an introduction
(Lecture notes in mathematics, 1407)
Springer-Verlag, c1989
- : gw
- : us
Available at / 88 libraries
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Library & Science Information Center, Osaka Prefecture University
: gwNDC8:410.8||||10009557452
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||14078912037S
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Kobe University General Library / Library for Intercultural Studies
: U.S.410-8-L//1407S061000104683*
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:510/P7542070146110
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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"