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Lecture Notes in Logic, 33
Kurt Gödel, Essays for His Centennial

 

Solomon Feferman, Charles Parsons, Steven G. Simpson, editors

 

Kurt Gödel (1906–1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Gödel’s centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of Gödel’s writings are among the topics covered. Several chapters discuss his intellectual development and his relation to predecessors and contemporaries such as Hilbert, Carnap, and Herbrand. Others consider his views on justification in set theory in light of more recent work and contemporary echoes of his incompleteness theorems and the concept of constructible set.

Year: 2010
Price:$90.00 ISBN-13: 9780521115148
384 pages. Hardcover.
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Table of Contents

General:

Solomon Feferman
The Gödel editorial project: a synopsis

John W. Dawson, Jr., and Cheryl A. Dawson
Future tasks for Gödel scholars

Proof Theory:

Jeremy Avigad
Gödel and the metamatematical tradition

Wilfied Sieg
Only two letters: The corresondence between Herbrand and Gödel

W.W. Tait
Gödel's reformulation of Gentzen's first consistency proof for arithmetic: The no-counterexample interpretation

W.W. Tait
Gödel on intuition and on Hilbert's finitism

Stephen G. Simpson
The Gödel hierarchy and reverse mathematics

John P. Burgess
On the outside looking in: A caution about conservativeness

Set Theory:

Akihiro Kanamori
Gödel and set theory

Sy-David Friedman
Generalisations of Gödel's universe of constructible sets

Peter Koellner
On the question of absolute undecidability

Philosophy of Mathematics:

Martin Davis
What did Gödel believe and when did he believe it?

Warren Goldfarb
On Gödel's way in: The influence of Rudolf Carnap

Steve Awodey and A.W. Carus
Gödel and Carnap

Mark van Atten and Juliette Kennedy
On the philosophical development of Kurt Gödel

Charles Parsons
Platonism and mathematical intuition in Kurt Gödel's thought

Donald A. Martin
Gödel's conceptual realism

 

 

 





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