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Field name	Details
Dewey Class	511.3
Title	The Legacy of Kurt Schütte ([EBook]) / edited by Reinhard Kahle, Michael Rathjen.
Added Personal Name	Kahle, Reinhard
Added Personal Name	Rathjen, Michael
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : Springer International Publishing , 2020.
Physical Details	XIX, 502 pages: 2 illus. : online resource.
ISBN	9783030494247
Summary Note	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 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 Schütte himself that have never been published before.:
Contents note	Preface -- List of Contributors -- Part I History and Memories -- Part II Proof Theory at Work -- Part III Further Legacy -- Part IV Kurt Schüttes Spätwerk.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-49424-7
Links to Related Works	Subject References: Logic . Mathematical logic . Mathematical Logic and Formal Languages . Mathematical Logic and Foundations . Authors: editor . Kahle, Reinhard . Rathjen, Michael . Corporate Authors: SpringerLink (Online service) . Classification: 511.3 . 511.3 (DDC 23) .

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The Legacy of Kurt Schütte

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