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  2. Gödel's ontological proof - Wikipedia

    en.wikipedia.org/wiki/Gödel's_ontological_proof

    A humorous variant of Gödel's ontological proof is mentioned in Quentin Canterel's novel The Jolly Coroner. [26] [page needed] The proof is also mentioned in the TV series Hand of God. [specify] Jeffrey Kegler's 2007 novel The God Proof depicts the (fictional) rediscovery of Gödel's lost notebook about the ontological proof. [27]

  3. Proof sketch for Gödel's first incompleteness theorem

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

    The truth of the Gödel sentence. The proof of Gödel's incompleteness theorem just sketched is proof-theoretic (also called syntactic) in that it shows that if certain proofs exist (a proof of P(G(P)) or its negation) then they can be manipulated to produce a proof of a contradiction. This makes no appeal to whether P(G(P)) is "true", only to ...

  4. Self-verifying theories - Wikipedia

    en.wikipedia.org/wiki/Self-verifying_theories

    Self-verifying theories are consistent first-order systems of arithmetic, much weaker than Peano arithmetic, that are capable of proving their own consistency. Dan Willard was the first to investigate their properties, and he has described a family of such systems. According to Gödel's incompleteness theorem, these systems cannot contain the ...

  5. Proof (Paul Simon song) - Wikipedia

    en.wikipedia.org/wiki/Proof_(Paul_Simon_song)

    Paul Simon singles chronology. "The Obvious Child". (1990) " Proof ". (1991) "Born at the Right Time". (1991) " Proof " is a song by the American singer-songwriter Paul Simon. It was the second single from his eighth studio album, The Rhythm of the Saints (1990), released on Warner Bros. Records.

  6. Hilbert's second problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_second_problem

    In mathematics, Hilbert's second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic is consistent – free of any internal contradictions. Hilbert stated that the axioms he considered for arithmetic were the ones given in Hilbert (1900), which include a second order completeness axiom.

  7. Ontological argument - Wikipedia

    en.wikipedia.org/wiki/Ontological_argument

    In the philosophy of religion, an ontological argument is a deductive philosophical argument, made from an ontological basis, that is advanced in support of the existence of God. Such arguments tend to refer to the state of being or existing. More specifically, ontological arguments are commonly conceived a priori in regard to the organization ...

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  9. Goodness of God - Wikipedia

    en.wikipedia.org/wiki/Goodness_of_God

    Music videos. "Goodness of God" (Live) on YouTube. "Goodness of God" (Lyrics) on YouTube. " Goodness of God " is a song by Bethel Music and Jenn Johnson, which was released as the third single from Bethel Music's eleventh live album, Victory (2019), on November 1, 2019. [1] The song was written by Ed Cash, Ben Fielding, Jason Ingram, Brian ...