Kurt Gödel : essays for his centennial / edited by Solomon Feferman, Charles Parsons, Stephen G. Simpson.

Format:

Book

Contributor:

Gödel, Kurt, editor.

Feferman, Solomon, editor.

Parsons, Charles, 1933- editor.

Simpson, Stephen G. (Stephen George), 1945- editor.

Series:

Lecture notes in logic ; 33.

Lecture notes in logic ; 33

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Physical Description:

1 online resource (x, 373 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2010.

Language Note:

English

Summary:

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 sets.

Contents:

GENERAL. The Gödel editorial project : a synopsis / Solomon Feferman

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

PROOF THEORY. Gödel and the metamathematical tradition / Jeremy Avigad

Only two letters : the correspondence between Herbrand and Gödel / Wilfried Sieg

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 / W.W. Tait

The Gödel hierarchy and reverse mathematics / Stephen G. Simpson

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

SET THEORY. Gödel and set theory / Akihiro Kanamori

Generalizations of Gödel's universe of constructible sets / Sy-David Friedman

On the question of absolute undecidability / Peter Koellner

PHILOSOPHY OF MATHEMATICS. What did Gödel believe and when did he believe it? / Martin Davis

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

Gödel and Carnap / Steve Awodey and A.W. Carus

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

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

Gödel's conceptual realism / Donald A. Martin.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-107-20306-6

1-282-63076-8

9786612630767

0-511-74927-9

0-511-74347-5

0-511-75002-1

0-511-74240-1

0-511-75076-5

0-511-74456-0

OCLC:

781278225