Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1933, is an important limitative result in mathematical logic, the foundations...

incompleteness theorems were the first of several closely related theorems on the limitations of formal systems. They were followed by Tarski's undefinability theorem...

Tarski's theorem may refer to the following theorems of Alfred Tarski: Tarski's theorem about choice Tarski's undefinability theorem Tarski's theorem...

Gödel's first incompleteness theorem Tarski's undefinability theorem Halting problem Kleene's recursion theorem Its category-theoretical general formulation...

discoveries, most notably Tarski's undefinability theorem using the same formal technique Kurt Gödel used in his incompleteness theorems. Roughly, this states...

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...

Entscheidungsproblem Ordinal definable set Richard's paradox Tarski's undefinability theorem Turing, A. M. (1937), "On Computable Numbers, with an Application...

fundamental limitative results such as Gödel's incompleteness theorems and Tarski's undefinability theorem. Let N {\displaystyle \mathbb {N} } be the set of natural...

Cantor's theorem Cantor's diagonal argument Diagonal lemma Russell's paradox Gödel's first incompleteness theorem Tarski's undefinability theorem Turing's...

arithmetic Tarski's undefinability theorem Church-Turing theorem of undecidability Löb's theorem Löwenheim–Skolem theorem Lindström's theorem Craig's theorem Cut-elimination...

known as Tarski's undefinability theorem, was discovered independently by Gödel (when he was working on the proof of the incompleteness theorem) and by...

Kleene Definable real number Metamathematics Cut-elimination Tarski's undefinability theorem Diagonal lemma Provability logic Interpretability logic Sequent...

Deductive Sciences. Tarski's 1969 "Truth and proof" considered both Gödel's incompleteness theorems and Tarski's undefinability theorem, and mulled over...

theorem 1936) Gödel's first incompleteness theorem 1931 Gödel's second incompleteness theorem 1931 Tarski's undefinability theorem (Gödel and Tarski in...

defines F without reference to other sets. This is related to Tarski's undefinability theorem. The example of ZFC illustrates the importance of distinguishing...

Mathematical Platonism Primitive recursive functional Strange loop Tarski's undefinability theorem World Logic Day Gödel machine Kreisel, G. (1980). "Kurt Godel...

and theorems of higher-order logic. The former can be proven using finistic methods, while the latter – in general – cannot. Tarski's undefinability theorem...

Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability...

and projective sets of reals; however for reasons related to Tarski's undefinability theorem the notion of a definable set of reals cannot be defined in...

Kurt Gödel's incompleteness theorem showed this impossible except in trivial cases, and Alfred Tarski's undefinability theorem shattered all hopes of reducing...

Łoś–Tarski preservation theorem Knaster–Tarski theorem (sometimes referred to as Tarski's fixed point theorem) Tarski's undefinability theorem Tarski–Seidenberg...

excusable, it is not negligence. Gödel's incompleteness theorems: and Tarski's undefinability theorem Ignore all rules: To obey this rule, it is necessary...

constructible universe.) There is a subtlety about this definition: by Tarski's undefinability theorem it is not, in general, possible to define the truth of a formula...

In mathematical logic, the Löwenheim–Skolem theorem is a theorem on the existence and cardinality of models, named after Leopold Löwenheim and Thoralf...

incompleteness theorem, because Tarski's theory lacks the expressive power needed to interpret Robinson arithmetic (Franzén 2005, pp. 25–26). Alfred Tarski worked...

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...

Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...

incompleteness theorems show that any sufficiently strong recursively enumerable theory of arithmetic cannot be both complete and consistent. Gödel's theorem applies...

Swift Tarski's undefinability theorem Tarski's axioms  See also: List of things named after Alfred Tarski Mathematical logic, Geometry Alfred Tarski Thales's...

incompleteness theorem of 1931 made the logical positivists' logicism, or reduction of mathematics to logic, doubtful. But then Alfred Tarski's undefinability theorem...