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From Frege to Gödel: A Source Book on Mathematical Logic 1879–1931. Harvard University Press. Bernard Meltzer (1962). On Formally Undecidable Propositions of Principia Mathematica and Related Systems. Translation of the German original by Kurt Gödel, 1931. Basic Books, 1962. Reprinted, Dover, 1992. ISBN 0-486-66980-7. Raymond Smullyan (1966).
Stephen Budiansky's book about Gödel's life, Journey to the Edge of Reason: The Life of Kurt Gödel, [55] was a New York Times Critics' Top Book of 2021. [56] Gödel was one of four mathematicians examined in David Malone 's 2008 BBC documentary Dangerous Knowledge .
Douglas Hofstadter, in his books Gödel, Escher, Bach and I Am a Strange Loop, cites Gödel's theorems as an example of what he calls a strange loop, a hierarchical, self-referential structure existing within an axiomatic formal system. He argues that this is the same kind of structure that gives rise to consciousness, the sense of "I", in 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. Through short stories ...
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).
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 ...
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.
This page was last edited on 13 September 2014, at 06:26 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
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