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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).
In 2005 John Dawson published a biography, Logical Dilemmas: The Life and Work of Kurt Gödel. [54] 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]
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 ...
Thus one can define the Gödel number of a proof. Moreover, one may define a statement form Proof(x,y), which for every two numbers x and y is provable if and only if x is the Gödel number of a proof of the statement S and y = G(S). Proof(x,y) is in fact an arithmetical relation, just as "x + y = 6" is, though a much
Kurt Gödel developed the concept for the proof of his incompleteness theorems. (Gödel 1931) A Gödel numbering can be interpreted as an encoding in which a number is assigned to each symbol of a mathematical notation, after which a sequence of natural numbers can then represent a sequence of symbols. These sequences of natural numbers can ...
Kurt Gödel created a formalization of Leibniz' version, known as Gödel's ontological proof. [1] A more recent argument was made by Stephen D. Unwin in 2003, who suggested the use of Bayesian probability to estimate the probability of God's existence. [2]
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).
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.