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001 978-3-540-46825-7
003 DE-He213
005 20190213151745.0
007 cr nn 008mamaa
008 121227s1989 gw | s |||| 0|eng d
020 _a9783540468257
_9978-3-540-46825-7
024 7 _a10.1007/978-3-540-46825-7
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aMAT018000
_2bisacsh
072 7 _aPBC
_2thema
072 7 _aPBCD
_2thema
082 0 4 _a511.3
_223
100 1 _aPohlers, Wolfram.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aProof Theory
_h[electronic resource] :
_bAn Introduction /
_cby Wolfram Pohlers.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1989.
300 _aVIII, 220 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1407
505 0 _aOrdinal 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.
520 _aAlthough 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.
650 0 _aLogic, Symbolic and mathematical.
650 0 _aNumber theory.
650 1 4 _aMathematical Logic and Foundations.
_0http://scigraph.springernature.com/things/product-market-codes/M24005
650 2 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540518426
776 0 8 _iPrinted edition:
_z9783662178973
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1407
856 4 0 _uhttps://doi.org/10.1007/978-3-540-46825-7
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11782
_d11782