Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1933, is an important limitative result in mathematical logic, the foundations...
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theorems were among the first of several closely related theorems on the limitations of formal systems. They were followed by Tarski's undefinability...
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theorem, Russell's paradox, Gödel's first incompleteness theorem, Turing's solution to the Entscheidungsproblem, and Tarski's undefinability theorem....
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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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Semantic theory of truth (redirect from Tarski's definition of truth)
discoveries, most notably Tarski's undefinability theorem using the same formal technique Kurt Gödel used in his incompleteness theorems. Roughly, this states...
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Deductive Sciences. Tarski's 1969 "Truth and proof" considered both Gödel's incompleteness theorems and Tarski's undefinability theorem, and mulled over...
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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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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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Kurt Gödel (section Incompleteness theorems)
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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Elementary equivalence (redirect from Tarski–Vaught test)
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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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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Definable real number (redirect from Undefinable 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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Diagonal lemma (section Representation Theorem)
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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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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