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The Legacy of Kurt Schütte 2020 Edition
Contributor(s): Kahle, Reinhard (Editor), Rathjen, Michael (Editor)

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 ISBN: 3030494233     ISBN-13: 9783030494230
Publisher: Springer
OUR PRICE: $123.49  

Binding Type: Hardcover - See All Available Formats & Editions
Published: August 2020
Qty:
Additional Information
BISAC Categories:
- Mathematics | Logic
- Philosophy | Logic
- Computers | Computer Science
Physical Information: 1.13" H x 6.14" W x 9.21" L (1.99 lbs) 502 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
This book on proof theory centers around the legacy of Kurt Sch tte and its current impact on the subject. Sch tte 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). Sch tte 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. Sch tte 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 Sch tte himself that have never been published before.
 
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