# undefinability

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**Tarski's undefinability theorem**— Tarski s undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics. Informally, the theorem states that arithmetical truth… … Wikipedia**Gödel's incompleteness theorems**— In mathematical logic, Gödel s incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most trivial formal systems for arithmetic of mathematical interest. The theorems are of… … Wikipedia**Tarski's theorem**— Several results obtained by the noted logician Alfred Tarski are commonly referred to as Tarski s theorem:*Tarski s theorem on real closed fields established the decidability of the first order theory of real numbers. *The Knaster Tarski theorem… … Wikipedia**Metalogic**— is the study of the metatheory of logic. While logic is the study of the manner in which logical systems can be used to decide the correctness of arguments, metalogic studies the properties of the logical systems themselves.[1] According to… … Wikipedia**Semantic theory of truth**— A semantic theory of truth is a theory of truth in the philosophy of language which holds that truth is a property of sentences.[1] Contents 1 Origin 2 Tarski s Theory 3 See also … Wikipedia**Warsaw School of Mathematics**— is the name given to a group of mathematicians who worked at Warsaw, Poland, in the two decades between the World Wars, especially in the fields of logic, set theory, point set topology and real analysis. They published in the journal Fundamenta… … Wikipedia**List of mathematics articles (T)**— NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie … Wikipedia**Münchhausen Trilemma**— The Münchhausen Trilemma (after Baron Münchhausen, who allegedly pulled himself (and the horse he was sitting on) out of a swamp by his own hair), also called Agrippa s Trilemma (after Agrippa the Skeptic), is a philosophical term coined to… … Wikipedia**Indeterminacy (philosophy)**— Indeterminacy, in philosophy, can refer both to common scientific and mathematical concepts of uncertainty and their implications and to another kind of indeterminacy deriving from the nature of definition or meaning.[citation needed] It is… … Wikipedia**Fluid Concepts and Creative Analogies**— Fluid Concepts and Creative Analogies: Computer Models of the Fundamental Mechanisms of Thought is a 1995 book by Douglas Hofstadter and other members of the Fluid Analogies Research Group exploring the mechanisms of intelligence through computer … Wikipedia