The Legacy of Kurt Schutte (Hardcover, 1st ed. 2020)

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 0 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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Release date:	August 2020
First published:	2020
Editors:	Reinhard Kahle • Michael Rathjen
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	502
Edition:	1st ed. 2020
ISBN-13:	978-3-03-049423-0
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Philosophy > Topics in philosophy > Logic Promotions
LSN:	3-03-049423-3
Barcode:	9783030494230

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