Kurt Gödel

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Kurt Gödel [kurt gøːdl], (28 Aprile, 190614 Januar, 1978) wis a logeician, mathemateician, an philosopher o mathematics. He wis born in Brünn in Moravia, Austrick-Hungary (nou Brno in the Czech Republic), becam a Czechoslovak ceitizen at 12 year auld whan the Austro-Hungarian empire wis broke up, an an Austrian citizen at 23 year auld. Whan Hitler teuk Austria, Gödel automatically becam a German citizen at 32 year auld. Aifter World War II, at 42 year auld, he got US ceitizenship.

Gödel's best kent warks wis his incompleteness theorems, the maist kenspeckle o them seyin that ony sel-conseestent recursive axiomatic seistem wi eneuch pouer ti descreive integer arithmetic maun allou for "true" proposeitions anent integers that canna be proven frae the axioms. For tae pruive this theorem, Gödel wrocht oot a technique nou kent as Gödel nummerin, that codes formal expressions intil arithmetic. Forby he did kenspeckle work on the continuum hypothesis, shawin that it canna be dispruiven frae the accepit set theory axioms, assumin that thae axioms is conseestent. Gödel made important contreibutions ti pruif theory; he clarifee'd the connections atween clessical logic, intuitionistic logic an modal logic bi definin translations atween them.

Kurt Gödel wis aiblins the greatest logeician o the 1900s an ane o the three greatest logeicians ivver wi Aristotle an Frege. He published his maist important result in 1931 at 25 year auld whan he wrocht at Vienna Varsity, Austria.

Important publications[eedit | eedit soorce]

  • Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, Monatshefte für Mathematik und Physik, vol. 38 (1931). (Available in English at http://home.ddc.net/ygg/etext/godel/ )
  • The Consistency of the Axiom of Choice and of the Generalized Continuum Hypothesis with the Axioms of Set Theory. Princeton University Press, Princeton, NJ. (1940)

Airtins an references[eedit | eedit soorce]

Further readin[eedit | eedit soorce]

  • Dawson, John W. Logical dilemmas: The life and work of Kurt Gödel. A K Peters. (ISBN 1-56881-025-3)
  • Depauli-Schimanovich, Werner, & Casti, John L. Gödel: A life of logic. Perseus. (ISBN 0-7382-0518-4)
  • Goldstein, Rebecca (2005). Incompleteness: The Proof and Paradox of Kurt Godel (Great Discoveries). W. W. Norton & Company. (ISBN 0-393-05169-2)
  • Hintikka, Jaakko (2000). On Gödel. Wadsworth. (ISBN 0-534-57595-1)
  • Hofstadter, Douglas. Gödel, Escher, Bach (ISBN 0-465-02656-7)
  • Nagel, Ernst, & Newman, James R..Gödel's Proof. New York University Press. (ISBN 0-8147-5816-9)
  • Wang, Hao (1996). A logical journey: From Gödel to philosophy. Cambridge, MA: MIT Press.
  • Yourgrau, Palle (2004). A World Without Time: The Forgotten Legacy of Gödel and Einstein. Basic Books. (ISBN 0-465-09293-4)
  • Yourgrau, Palle (1999). Gödel Meets Einstein: Time Travel in the Gödel Universe. Open Court. (ISBN 0-8126-9408-2)