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...
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Gödel's proof may refer to: Gödel's incompleteness theorems Gödel's ontological proof See also: Gödel's theorem (disambiguation) This disambiguation page...
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Existence of God (redirect from Proof of the existence of God)
understanding of God, is a real predicate. Gödel's ontological proof is a formal argument by the mathematician Kurt Gödel (1906–1978) for the existence of God...
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Philosophy portal Original proof of Gödel's completeness theorem Gödel fuzzy logic Gödel–Löb logic Gödel Prize Gödel's ontological proof Infinite-valued logic...
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critiques of ontological arguments for the existence of God and the principle of divine simplicity. For example, Gödel's ontological proof contains ϕ →...
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early eighteenth century. Kurt Gödel created a formalization of Leibniz' version, known as Gödel's ontological proof. A more recent argument was made...
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In the philosophy of religion, an ontological argument is a deductive philosophical argument, made from an ontological basis, that is advanced in support...
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Gauss–Markov theorem (brief pointer to proof) Gödel's incompleteness theorem Gödel's first incompleteness theorem Gödel's second incompleteness theorem Goodstein's...
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completeness theorem Gödel's speed-up theorem Gödel's ontological proof This disambiguation page lists articles associated with the title Gödel's theorem. If an...
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logic has been studied as well. According to several logicians, Gödel's ontological proof is best studied (from a technical perspective) in such a context...
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from the hypothesis of the existence of God (in the sense of Gödel's ontological proof), it can be shown that mathematics, as formalized by the usual...
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publishes The Launching of Modern American Science, 1846–1876. Gödel's ontological proof of the existence of God is published posthumously. The Abelian...
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cones are particular examples of ultralimits of metric spaces. Gödel's ontological proof of God's existence uses as an axiom that the set of all "positive...
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Conway's Game of Life is devised by John Horton Conway. Kurt Gödel's ontological proof of the existence of God is circulated. The Dubowitz Score for...
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model theory. For Gödel's construction, see Gödel 1940, pp. 35–46 or Cohen 1966, pp. 99–103. Cohen also gave a detailed proof of Gödel's relative consistency...
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formalising Gödel's ontological proof in 2014 and verifying the theorems using automated theorem proving with Isabelle in 2016. The proof could be confirmed...
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of the Market Godehard Link Gödel's incompleteness theorems Gödel's ontological proof Gödel's theorems Gödel numbering Gödel, Escher, Bach Godfrey of Fontaines...
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also composed a formal argument for God's existence known as Gödel's ontological proof. Martin Gardner (1914–2010) was a mathematics and science writer...
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Religious philosophy (section Ontological arguments)
version of Saint Anselm of Canterbury's ontological proof of the existence of God, known as Godel's Ontological Proof. An individual's perception of the concept...
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Univ. Press. 1969 Ontological Relativity and Other Essays. Columbia Univ. Press. ISBN 0-231-08357-2. Contains chapters on ontological relativity, naturalized...
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to have an ontological commitment to them. The argument is described by the following syllogism: (Premise 1) We ought to have ontological commitment to...
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theorems, and proofs, and of using mathematical methods to prove theorems about these concepts. This led to unexpected results, such as Gödel's incompleteness...
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Kurt Gödel and Paul Cohen. Gödel showed that CH cannot be disproved from ZF, even if the axiom of choice (AC) is adopted (making ZFC). Gödel's proof shows...
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tapestry weaver – gobelin Kurt Gödel, Austrian-American mathematician – Gödel's incompleteness theorem, Gödel's ontological proof Godred Crovan, King of Dublin...
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argued that Avicenna's argument was ontological. Morewedge referred to the argument as "Ibn Sina's ontological argument for the existence of God", and...
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Feferman, Solomon (1996). "Gödel's program for new axioms: why, where, how and what?". In Hájek, Petr (ed.). Gödel '96: Logical foundations of mathematics...
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Reviews". Kanckos, Annika; Lethen, TIM (2019). "The Development of Gödel's Ontological Proof". The Review of Symbolic Logic. 14 (4): 1–19. doi:10.1017/S1755020319000479...
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Set theory (section Ontology)
Remarks on the Foundations of Mathematics: Wittgenstein attempted to refute Gödel's incompleteness theorems after having only read the abstract. As reviewers...
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structuralism make different ontological claims in this regard. The ante rem structuralism ("before the thing") has a similar ontology to Platonism. Structures...
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Logicism (section Gödel's criticism and suggestions)
better be called fictionalism" (cf. footnote 1 in Gödel 1944:119) – to be faulty. See more in "Gödel's criticism and suggestions" below. A complicated theory...
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