<電子ブック>
The Legacy of Kurt Schütte / edited by Reinhard Kahle, Michael Rathjen
版 | 1st ed. 2020. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2020 |
本文言語 | 英語 |
大きさ | XIX, 502 p. 2 illus : online resource |
著者標目 | Kahle, Reinhard editor Rathjen, Michael editor SpringerLink (Online service) |
件 名 | LCSH:Mathematical logic LCSH:Logic LCSH:Machine theory FREE:Mathematical Logic and Foundations FREE:Logic FREE:Formal Languages and Automata Theory |
一般注記 | Preface -- List of Contributors -- Part I History and Memories -- Part II Proof Theory at Work -- Part III Further Legacy -- Part IV Kurt Schüttes Spätwerk This book on proof theory centers around the legacy of Kurt Schütte and its current impact on the subject. Schütte was the last doctoral student of David Hilbert who was the first to see that proofs can be viewed as structured mathematical objects amenable to investigation by mathematical methods (metamathematics). Schütte inaugurated the important paradigm shift from finite proofs to infinite proofs and developed the mathematical tools for their analysis. Infinitary proof theory flourished in his hands in the 1960s, culminating in the famous bound Γ0 for the limit of predicative mathematics (a fame shared with Feferman). Later his interests shifted to developing infinite proof calculi for impredicative theories. Schütte had a keen interest in advancing ordinal analysis to ever stronger theories and was still working on some of the strongest systems in his eighties. The articles in this volume from leading experts closeto his research, show the enduring influence of his work in modern proof theory. They range from eye witness accounts of his scientific life to developments at the current research frontier, including papers by Schütte himself that have never been published before HTTP:URL=https://doi.org/10.1007/978-3-030-49424-7 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783030494247 |
|
電子リソース |
|
EB00227754 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA8.9-10.3 DC23:511.3 |
書誌ID | 4000135338 |
ISBN | 9783030494247 |