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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. Kurt Gödel - Wikipedia

    en.wikipedia.org/wiki/Kurt_Gödel

    Kurt Friedrich Gödel (/ ... For example, his grandfather Joseph Gödel was a famous singer in his time and for some years a member of the ... My belief is theistic ...

  4. 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).

  5. Gödel's Loophole - Wikipedia

    en.wikipedia.org/wiki/Gödel's_Loophole

    Kurt Gödel in 1925. Gödel's Loophole is a supposed "inner contradiction" in the Constitution of the United States which Austrian-American logician, mathematician, and analytic philosopher Kurt Gödel postulated in 1947. The loophole would permit the American democracy to be legally turned into a dictatorship.

  6. Gödel's incompleteness theorems - Wikipedia

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

    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.

  7. 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.

  8. Original proof of Gödel's completeness theorem - Wikipedia

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

    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.

  9. Gödel numbering - Wikipedia

    en.wikipedia.org/wiki/Gödel_numbering

    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 ...