DocumentCode
2510705
Title
Shaken Foundations or Groundbreaking Realignment? A Centennial Assessment of Kurt Gödel´s Impact on Logic, Mathematics, and Computer Science
Author
Dawson, J.W.
Author_Institution
Pennsylvania State Univ., University Park, PA
fYear
2006
fDate
12-15 Aug. 2006
Firstpage
339
Lastpage
341
Abstract
The publication of Godel\´s incompleteness theorems has frequently been portrayed as a devastating event, from which mathematics has not yet recovered. Yet those same theorems have also been hailed as proving that the powers of the human mind surpass those of any computer. Both those views, however, are caricatures. Godel\´s impact on modern logic has been profound, but the incompleteness theorems did not cause widespread upset at the time of their publication, and subsequent mathematical work outside logic has hardly been affected by them. Nor is mathematics any less "secure" than it was before Godel\´s work
Keywords
computer science; formal logic; history; set theory; Kurt Godel incompleteness theorem; centennial assessment; computer science; mathematical logic; set theory; Arithmetic; Artificial intelligence; Computer science; Logic; Mathematics; Set theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Logic in Computer Science, 2006 21st Annual IEEE Symposium on
Conference_Location
Seattle, WA
ISSN
1043-6871
Print_ISBN
0-7695-2631-4
Type
conf
DOI
10.1109/LICS.2006.47
Filename
1691244
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