000 | 02678nam a22004935i 4500 | ||
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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 |
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072 | 7 |
_aMAT018000 _2bisacsh |
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072 | 7 |
_aPBC _2thema |
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072 | 7 |
_aPBCD _2thema |
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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. |
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300 |
_aVIII, 220 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 | ||
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