• 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