• Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1933, is an important limitative result in mathematical logic, the foundations...
    16 KB (2,271 words) - 18:18, 24 May 2025
  • theorems were among the first of several closely related theorems on the limitations of formal systems. They were followed by Tarski's undefinability...
    92 KB (12,173 words) - 17:35, 18 June 2025
  • theorem, Russell's paradox, Gödel's first incompleteness theorem, Turing's solution to the Entscheidungsproblem, and Tarski's undefinability theorem....
    3 KB (365 words) - 12:34, 26 May 2025
  • Tarski's theorem may refer to the following theorems of Alfred Tarski: Tarski's theorem about choice Tarski's undefinability theorem Tarski's theorem...
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  • discoveries, most notably Tarski's undefinability theorem using the same formal technique Kurt Gödel used in his incompleteness theorems. Roughly, this states...
    9 KB (1,050 words) - 17:46, 9 July 2024
  • Thumbnail for Alfred Tarski
    Deductive Sciences. Tarski's 1969 "Truth and proof" considered both Gödel's incompleteness theorems and Tarski's undefinability theorem, and mulled over...
    50 KB (5,757 words) - 14:34, 10 May 2025
  • Gödel's first incompleteness theorem Tarski's undefinability theorem Halting problem Kleene's recursion theorem Diagonalization (disambiguation) This disambiguation...
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  • Łoś–Tarski preservation theorem Knaster–Tarski theorem (sometimes referred to as Tarski's fixed point theorem) Tarski's undefinability theorem Tarski–Seidenberg...
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  • In mathematics, Tarski's theorem, proved by Alfred Tarski (1924), states that in ZF the theorem "For every infinite set A {\displaystyle A} , there is...
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  • Thumbnail for Theorem
    arithmetic Tarski's undefinability theorem Church-Turing theorem of undecidability Löb's theorem Löwenheim–Skolem theorem Lindström's theorem Craig's theorem Cut-elimination...
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  • known as Tarski's undefinability theorem, was discovered independently by Gödel (when he was working on the proof of the incompleteness theorem) and by...
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  • defines F without reference to other sets. This is related to Tarski's undefinability theorem. The example of ZFC illustrates the importance of distinguishing...
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  • Thumbnail for Kurt Gödel
    Mathematical Platonism Primitive recursive functional Strange loop Tarski's undefinability theorem World Logic Day Gödel machine The factory was involved in wool...
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  • Löwenheim–Skolem theorem gives elementary extensions of any infinite first-order structure of arbitrarily large cardinality. The Tarski–Vaught test (or Tarski–Vaught...
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  • In mathematical logic, the Löwenheim–Skolem theorem is a theorem on the existence and cardinality of models, named after Leopold Löwenheim and Thoralf...
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  • incompleteness theorem, because Tarski's theory lacks the expressive power needed to interpret Robinson arithmetic (Franzén 2005, pp. 25–26). Alfred Tarski worked...
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  • Thumbnail for Gödel's completeness theorem
    Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability...
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  • Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...
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  • Thumbnail for Definable real number
    Entscheidungsproblem Ordinal definable set Richard's paradox Tarski's undefinability theorem Turing, A. M. (1937), "On Computable Numbers, with an Application...
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  • In mathematical logic, Tarski's high school algebra problem was a question posed by Alfred Tarski. It asks whether there are identities involving addition...
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  • In set theory, Kőnig's theorem states that if the axiom of choice holds, I is a set, κ i {\displaystyle \kappa _{i}} and λ i {\displaystyle \lambda _{i}}...
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  • compactness theorem states that a set of first-order sentences has a model if and only if every finite subset of it has a model. This theorem is an important...
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  • excusable, it is not negligence. Gödel's incompleteness theorems: and Tarski's undefinability theorem Ignore all rules: To obey this rule, it is necessary...
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  • whether A(x) = 0 for some x are unsolvable. By contrast, the Tarski–Seidenberg theorem says that the first-order theory of the real field is decidable...
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  • Gödel's incompleteness theorem showed this to be impossible, except in trivial cases, and Alfred Tarski's undefinability theorem finally undermined all...
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  • construct his proof of the incompleteness theorems as well as in 1933 by Tarski to prove his undefinability theorem. In 1934, Carnap was the first to publish...
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  • Thumbnail for Cantor's theorem
    question marks, boxes, or other symbols. In mathematical set theory, Cantor's theorem is a fundamental result which states that, for any set A {\displaystyle...
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  • Schröder–Bernstein theorem. There is also a proof which uses Tarski's fixed point theorem. Myhill isomorphism theorem Netto's theorem, according to which...
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  • Ultraproduct (redirect from Los's theorem)
    include very elegant proofs of the compactness theorem and the completeness theorem, Keisler's ultrapower theorem, which gives an algebraic characterization...
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  • theorem 1936) Gödel's first incompleteness theorem 1931 Gödel's second incompleteness theorem 1931 Tarski's undefinability theorem (Gödel and Tarski in...
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