Kurt Gödel

Authors:
  • SFSolomon Feferman
    Solomon Feferman
  • CPCharles Parsons
    Charles Parsons
  • SSStephen G. Simpson
    Stephen G. Simpson
  • JDJohn W. Dawson
    John W. Dawson
  • CDCheryl A. Dawson
    Cheryl A. Dawson
  • JAJeremy Avigad
    Jeremy Avigad
  • WSWilfried Sieg
    Wilfried Sieg
  • WTW. W. Tait
    W. W. Tait
  • JBJohn P. Burgess
    John P. Burgess
  • AKAkihiro Kanamori
    Akihiro Kanamori
  • SFSy-David Friedman
    Sy-David Friedman
  • PKPeter Koellner
    Peter Koellner
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Abstract
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.