Proof Theory : An Introduction / by Wolfram Pohlers
(Lecture Notes in Mathematics ; 1407)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg , 1989 |
| 本文言語 | 英語 |
| 大きさ | VIII, 220 p : online resource |
書誌詳細を非表示
| 内容注記 | 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 |
|---|---|
| 一般注記 | 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 |
| 著者標目 | *Pohlers, Wolfram author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical logic LCSH:Number theory FREE:Mathematics FREE:Mathematical Logic and Foundations FREE:Number Theory |
| 分 類 | DC23:511.3 |
| 巻冊次 | ISBN:9783540468257 
|
| ISBN | 9783540468257 |
| URL | http://dx.doi.org/10.1007/978-3-540-46825-7 |
目次／あらすじ