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Translation of the German original by Kurt Gödel, 1931. Basic Books, 1962. Reprinted, Dover, 1992. ISBN 0-486-66980-7. Raymond Smullyan (1966). Review of On Formally Undecidable Propositions of Principia Mathematica and Related Systems. The American Mathematical Monthly, Vol. 73, No. 3. (March 1966), pp. 319–322. John W. Dawson, (1997).
Gödel's ontological proof is a formal argument by the mathematician Kurt Gödel (1906–1978) for the existence of God.The argument is in a line of development that goes back to Anselm of Canterbury (1033–1109).
Notices of the AMS, April 2006, Volume 53, Number 4 Kurt Gödel Centenary Issue; Paul Davies and Freeman Dyson discuss Kurt Godel (transcript) "Gödel and the Nature of Mathematical Truth" Edge: A Talk with Rebecca Goldstein on Kurt Gödel. It's Not All In The Numbers: Gregory Chaitin Explains Gödel's Mathematical Complexities. Gödel photo ...
Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics.
Kurt Gödel (1925) The proof of Gödel's completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a shorter version of the proof, published as an article in 1930, titled "The completeness of the axioms of the functional calculus of logic" (in German)) is not easy to read today; it uses concepts and formalisms that are no longer used and terminology that is often obscure.
It was developed by Kurt Gödel to provide a consistency proof of arithmetic. The name of the interpretation comes from the journal Dialectica , where Gödel's paper was published in a 1958 special issue dedicated to Paul Bernays on his 70th birthday.
Versions of the story can also be found in Logical Dilemmas: The Life and Work of Kurt Gödel (1997) By John W. Dawson; E: His Life, His Thought and His Influence on Our Culture (2006), edited by Donald Goldsmith and Marcia Bartusiak; Incompleteness: The Proof and Paradox of Kurt Gödel (2006) by Rebecca Goldstein; Godel: A Life Of Logic, The ...
Gödel, Escher, Bach: an Eternal Golden Braid, also known as GEB, is a 1979 book by Douglas Hofstadter.. By exploring common themes in the lives and works of logician Kurt Gödel, artist M. C. Escher, and composer Johann Sebastian Bach, the book expounds concepts fundamental to mathematics, symmetry, and intelligence.
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