• In mathematics and computer science, the Entscheidungsproblem (German for 'decision problem'; pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a challenge posed...
    19 KB (2,642 words) - 21:03, 19 June 2025
  • Application to the Entscheidungsproblem". It was the second proof (after Church's theorem) of the negation of Hilbert's Entscheidungsproblem; that is, the...
    43 KB (7,140 words) - 17:13, 26 June 2025
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    computation in general—and in particular, the uncomputability of the Entscheidungsproblem, or 'decision problem' (whether every mathematical statement is provable...
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  • One of the important problems for logicians in the 1930s was the Entscheidungsproblem of David Hilbert and Wilhelm Ackermann, which asked whether there...
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  • calculus, the Church–Turing thesis, proving the unsolvability of the Entscheidungsproblem ("decision problem"), the Frege–Church ontology, and the Church–Rosser...
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  • Turing's 1937 proof, On Computable Numbers, with an Application to the Entscheidungsproblem, demonstrated that there is a formal equivalence between computable...
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  • seminal paper "On Computable Numbers, with an Application to the Entscheidungsproblem". Common sense might say that a universal machine is impossible,...
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    the modern concept of algorithms began with attempts to solve the Entscheidungsproblem (decision problem) posed by David Hilbert. Later formalizations were...
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  • the formal undefinability of truth, Church's proof that Hilbert's Entscheidungsproblem is unsolvable, and Turing's theorem that there is no algorithm to...
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    A. M. (1937). "On Computable Numbers, with an Application to the Entscheidungsproblem". Proceedings of the London Mathematical Society. 2. 42 (1): 230–265...
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    first of Gödel's incompleteness theorems and Turing's answer to the Entscheidungsproblem. Diagonalization arguments are often also the source of contradictions...
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  • in 1946. Because it is simpler than the halting problem and the Entscheidungsproblem it is often used in proofs of undecidability. Let A {\displaystyle...
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  • #3: Was mathematics decidable? The third question is known as the Entscheidungsproblem (Decision Problem). 1930 (1930): Kurt Gödel announces a proof as...
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    1936 entitled On Computable Numbers, with an Application to the Entscheidungsproblem, which was published in the Proceedings of the London Mathematical...
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    publication called "On Computable Numbers, with an Application to the Entscheidungsproblem". It was published in the Proceedings of the London Mathematical...
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  • Turing's paper "On Computable Numbers, with an Application to the Entscheidungsproblem". The book takes readers sentence by sentence through Turing's paper...
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    is white. The Entscheidungsproblem (German for 'decision problem') is a challenge posed by David Hilbert in 1928. The Entscheidungsproblem asks for an algorithm...
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    reals, etc. are definable. Berry's paradox Constructible universe Entscheidungsproblem Ordinal definable set Richard's paradox Tarski's undefinability theorem...
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    Alan M. (1936), "On Computable Numbers, with an Application to the Entscheidungsproblem", Proceedings of the London Mathematical Society, 2, vol. 42, no...
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    A. M. (1936). "On Computable Numbers, with an Application to the Entscheidungsproblem". Proceedings of the London Mathematical Society. Series 2. 42 (1)...
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  • The halting problem was the first such set to be constructed. The Entscheidungsproblem, proposed by David Hilbert, asked whether there is an effective procedure...
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  • theorems. Church and Turing independently demonstrated that Hilbert's Entscheidungsproblem (decision problem) was unsolvable, thus identifying the computational...
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    November 1936). "On computable numbers, with an application to the Entscheidungsproblem" (PDF). Proceedings of the London Mathematical Society. 58: 230–265...
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    A. M. (1936), "On Computable Numbers, with an Application to the Entscheidungsproblem" (PDF), Proceedings of the London Mathematical Society, 2, vol. 42...
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    Alan M. (1936), "On Computable Numbers, with an Application to the Entscheidungsproblem", Proceedings of the London Mathematical Society, 2, vol. 42 (published...
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    A.M. (1936), "On Computable Numbers, with an Application to the Entscheidungsproblem", Proceedings of the London Mathematical Society, 2, vol. 42 (published...
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  • would obviously mean that in spite of the undecidability of the Entscheidungsproblem, the mental work of a mathematician concerning Yes-or-No questions...
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  • incompleteness theorems - in 1931, Gödel independently demonstrated that the Entscheidungsproblem is not effectively decidable. This result showed that there is no...
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  • Gödel's first incompleteness theorem, Turing's solution to the Entscheidungsproblem, and Tarski's undefinability theorem. It was first proven by William...
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  • resolve the Entscheidungsproblem, he himself would not answer it. It is within Hilbert's 10th problem where the question of an Entscheidungsproblem actually...
    61 KB (8,298 words) - 16:15, 11 April 2025