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＜電子ブック＞
Proof Theory : An Introduction / by Wolfram Pohlers
(Lecture Notes in Mathematics. ISSN:16179692 ; 1407)

版	1st ed. 1989.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1989
大きさ	VIII, 220 p : online resource
著者標目	*Pohlers, Wolfram author SpringerLink (Online service)
件　名	LCSH:Mathematical logic LCSH:Number theory FREE:Mathematical Logic and Foundations FREE:Number Theory
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-540-46825-7

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