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  2. Gödel's ontological proof - Wikipedia

    en.wikipedia.org/wiki/Gödel's_ontological_proof

    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).

  3. On Formally Undecidable Propositions of Principia Mathematica ...

    en.wikipedia.org/wiki/On_Formally_Undecidable...

    During his lifetime three English translations of Gödel's paper were printed, but the process was not without difficulty. The first English translation was by Bernard Meltzer; it was published in 1963 as a standalone work by Basic Books and has since been reprinted by Dover and reprinted by Hawking (God Created the Integers, Running Press, 2005:1097ff).

  4. Existence of God - Wikipedia

    en.wikipedia.org/wiki/Existence_of_God

    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). St.

  5. Proof sketch for Gödel's first incompleteness theorem

    en.wikipedia.org/wiki/Proof_sketch_for_Gödel's...

    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

  6. Kurt Gödel - Wikipedia

    en.wikipedia.org/wiki/Kurt_Gödel

    He formulated a formal proof for the existence of God known as Gödel's ontological proof. Gödel believed in an afterlife, saying, "Of course this supposes that there are many relationships which today's science and received wisdom haven't any inkling of.

  7. Gödel's incompleteness theorems - Wikipedia

    en.wikipedia.org/wiki/Gödel's_incompleteness...

    An online free book. World's shortest explanation of Gödel's theorem using a printing machine as an example. October 2011 RadioLab episode about/including Gödel's Incompleteness theorem "Gödel incompleteness theorem", Encyclopedia of Mathematics, EMS Press, 2001 [1994] How Gödel's Proof Works by Natalie Wolchover, Quanta Magazine, July 14 ...

  8. Ontological argument - Wikipedia

    en.wikipedia.org/wiki/Ontological_argument

    A more recent ontological argument came from Kurt Gödel, who proposed a formal argument for God's existence. Norman Malcolm also revived the ontological argument in 1960 when he located a second, stronger ontological argument in Anselm's work; Alvin Plantinga challenged this argument and proposed an alternative, based on modal logic.

  9. Mathematics and God - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_God

    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.