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The legacy of Kurt Schutte

Kahle, Reinhard.

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The legacy of Kurt Schutte

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The legacy of Kurt Schutte/ edited by Reinhard Kahle, Michael Rathjen.
其他作者:	Kahle, Reinhard.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	xix, 502 p. :ill., digital ;24 cm.
內容註:	Preface -- List of Contributors -- Part I History and Memories -- Part II Proof Theory at Work -- Part III Further Legacy -- Part IV Kurt Schuttes Spatwerk.
Contained By:	Springer Nature eBook
標題:	Proof theory. -
電子資源:	https://doi.org/10.1007/978-3-030-49424-7
ISBN:	9783030494247

The legacy of Kurt Schutte
The legacy of Kurt Schutte[electronic resource] /edited by Reinhard Kahle, Michael Rathjen. - Cham :Springer International Publishing :2020. - xix, 502 p. :ill., digital ;24 cm.

Preface -- List of Contributors -- Part I History and Memories -- Part II Proof Theory at Work -- Part III Further Legacy -- Part IV Kurt Schuttes Spatwerk.

This book on proof theory centers around the legacy of Kurt Schutte and its current impact on the subject. Schutte 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) Schutte 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. Schutte 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 close to 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 Schutte himself that have never been published before.

ISBN: 9783030494247

Standard No.: 10.1007/978-3-030-49424-7doiSubjects--Personal Names:

3526010
Schutte, K.
Subjects--Topical Terms:

543782
Proof theory.

LC Class. No.: QA9.54 / .L443 2020

Dewey Class. No.: 511.36

The legacy of Kurt Schutte
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520 $a This book on proof theory centers around the legacy of Kurt Schutte and its current impact on the subject. Schutte 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) Schutte 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. Schutte 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 close to 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 Schutte himself that have never been published before.
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