說明 
x, 373 p. : ill. ; 24 cm 
系列 
Lecture notes in logic ; 33 

Lecture notes in logic ; 33

附註 
"Kurt Gödel (19061978) 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"Provided by publisher 

Includes bibliographical references 

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 nocounterexample 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 / SyDavid 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 

EAS: YW 
主題 
Logic, Symbolic and mathematical

Alt Author 
Gödel, Kurt


Feferman, Solomon


Parsons, Charles, 1933


Simpson, Stephen G. (Stephen George), 1945

