The Legacy of Kurt Schütte 1st ed. 2020 Edition

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Management number 220815073 Release Date 2026/05/03 List Price $46.37 Model Number 220815073
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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. Read more

ISBN10 3030494233
ISBN13 978-3030494230
Edition 1st ed. 2020
Language English
Publisher Springer
Dimensions 6.14 x 1.13 x 9.21 inches
Item Weight 1.99 pounds
Print length 521 pages
Publication date August 11, 2020

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