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 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 Sch�tte himself that have never been published before.

About the Author

Reinhard Kahle is currently the Carl Friedrich von Weizs�cker Professor for Philosophy and History of Science at the University of T�bingen. Before, he was Professor of Mathematics at the University of Coimbra (2003-08) and at the University Nova in Lisbon (2008-18). He is fellow of the Acad�mie Internationale de Philosophie des Sciences. His main research interests include proof theory and the history and philosophy of logic.

Michael Rathjen is currently Professor of Mathematics at Leeds University. He first taught at M�nster and the Ohio State University. As a Heisenberg Fellow he worked at several logic research centers, notably OSU, UCLA, Stanford, and Uppsala. In 1996 he joined the University of Leeds. From 2002 till 2006 he was a Professor of Mathematics at the Ohio State University. His research interests include mathematical logic and the philosophy of logic and mathematics.

"About this title" may belong to another edition of this title.

Store Description

I mainly carry imported books from South East Asia / South Asia for readers of all Age Groups.

Visit Seller's Storefront

Seller's business information

PLETOS INC
6931 51st Avenue, WOODSIDE, Woodside, NY, 11377, U.S.A.

Sale & Shipping Terms

Terms of Sale

We accept return for those books which are received damaged. Though we take appropriate care in packing to avoid such situation.

Shipping Terms

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	12 to 19 business days	12 to 14 business days
First item	US$ 3.99	US$ 6.99

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.