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[资源] Cambridge2010Kurt Godel..Essays for his Centennial

CONTENTS
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix
GENERAL
Solomon Feferman
The G¨odel editorial project: A synopsis . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Future tasks for G¨odel scholars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
PROOF THEORY
Jeremy Avigad
G¨odel and the metamathematical tradition. . . . . . . . . . . . . . . . . . . . . . . . . 45
Wilfried Sieg
Only two letters: The correspondence between Herbrand and G¨odel 61
W. W. Tait
G¨ odel’s reformulation of Gentzen’s first consistency proof for
arithmetic: The no-counterexample interpretation . . . . . . . . . . . . . . . . . . 74
W. W. Tait
G¨odel on intuition and on Hilbert’s finitism . . . . . . . . . . . . . . . . . . . . . . . . 88
Stephen G. Simpson
The G¨odel hierarchy and reverse mathematics . . . . . . . . . . . . . . . . . . . . . . 109
John P. Burgess
On the outside looking in: A caution about conservativeness . . . . . . . . 128
SET THEORY
Akihiro Kanamori
G¨odel and set theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145
vii
John W. Dawson, Jr., and Cheryl A. Dawson
viii contents
Sy-David Friedman
Generalisations of G¨odel’s universe of constructible sets . . . . . . . . . . . . 181
Peter Koellner
On the question of absolute undecidability . . . . . . . . . . . . . . . . . . . . . . . . . 189
PHILOSOPHY OF MATHEMATICS
Martin Davis
What did G¨odel believe and when did he believe it? . . . . . . . . . . . . . . . . . 229
Warren Goldfarb
On G¨ odel’s way in: The influence of Rudolf Carnap . . . . . . . . . . . . . . . . 242
Steve Awodey and A. W. Carus
G¨odel and Carnap. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 252
Mark van Atten and Juliette Kennedy
On the philosophical development of Kurt G¨odel. . . . . . . . . . . . . . . . . . . 275
Charles Parsons
Platonism and mathematical intuition in Kurt G¨ odel’s thought . . . . . . 326
Donald A. Martin
G¨odel’s conceptual realism. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 356
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