02581nam 2200589 450 99646662830331620211129082749.03-540-46825-010.1007/978-3-540-46825-7(CKB)1000000000437399(SSID)ssj0000325962(PQKBManifestationID)12124455(PQKBTitleCode)TC0000325962(PQKBWorkID)10264735(PQKB)10895854(DE-He213)978-3-540-46825-7(MiAaPQ)EBC3087469(MiAaPQ)EBC6574185(Au-PeEL)EBL6574185(OCoLC)1255224019(PPN)155214705(EXLCZ)99100000000043739920211129h19941989 uy 0engurnn|008mamaatxtccrProof theory an introduction /Wolfram Pohlers1st ed. 1989.Berlin :Springer-Verlag,1994.©19891 online resource (VIII, 220 p.) Lecture notes in mathematics (Springer-Verlag) ;1407Bibliographic Level Mode of Issuance: Monograph0-387-51842-8 3-540-51842-8 Includes bibliographical references and index.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.Lecture notes in mathematics (Springer-Verlag) ;1407.Proof theoryProof theory.511.3Pohlers Wolfram56702MiAaPQMiAaPQMiAaPQBOOK996466628303316Proof theory81534UNISA