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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...

    A second new technique invented by Gödel in this paper was the use of self-referential sentences. Gödel showed that the classical paradoxes of self-reference, such as "This statement is false", can be recast as self-referential formal sentences of arithmetic. Informally, the sentence employed to prove Gödel's first incompleteness theorem ...

  4. 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.

  5. 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.

  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. 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.

  8. Philosophical theism - Wikipedia

    en.wikipedia.org/wiki/Philosophical_theism

    Kurt Gödel, the eminent mathematical logician, composed a formal argument for God's existence. Philosophical theism is the belief that the Supreme Being exists (or must exist) independent of the teaching or revelation of any particular religion . [ 1 ]

  9. 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