- Gödel's incompleteness theorems
- pl.теоремы неполноты Геделя (отражающие внутренние ограничения формальных систем)
Англо-русский словарь промышленной и научной лексики. 2014.
Gödel's incompleteness theorems
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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
Gödel's completeness theorem — is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first order logic. It was first proved by Kurt Gödel in 1929. A first order formula is called logically valid if… … Wikipedia
Gödel, Escher, Bach — Gödel, Escher, Bach: an Eternal Golden Braid … Wikipedia
Gödel's proof — may refer to: *Gödel s incompleteness theorems *Gödel s ontological proof … Wikipedia
Gödel's theorem — may refer to: *Gödel s incompleteness theorems *Gödel s completeness theorem … Wikipedia
Gödel number — In mathematical logic, a Gödel numbering is a function that assigns to each symbol and well formed formula of some formal language a unique natural number called its Gödel number. The concept was first used by Kurt Gödel for the proof of his… … Wikipedia
Gödel'scher Unvollständigkeitssatz — Der gödelsche Unvollständigkeitssatz ist einer der wichtigsten Sätze der modernen Logik. Er beschäftigt sich mit der Ableitbarkeit von Aussagen in formalen Theorien. Der Satz zeigt die Grenzen der formalen Systeme ab einer bestimmten Mächtigkeit… … Deutsch Wikipedia
Gödel's theorem — n. either of two theorems published by the mathematician Kurt Gödel in 1931 that prove all mathematical systems are incomplete in that their truth or consistency can only be proved using a system of a higher order: also called Gödel s proof or… … Universalium
Gödel's theorem — n. either of two theorems published by the mathematician Kurt Gödel in 1931 that prove all mathematical systems are incomplete in that their truth or consistency can only be proved using a system of a higher order: also called Gödel s proof or… … English World dictionary
Gödel, Kurt — born April 28, 1906, Brünn, Austria Hungary died Jan. 14, 1978, Princeton, N.J., U.S. Austrian born U.S. mathematician and logician. He began his career on the faculty of the University of Vienna, where he produced his groundbreaking proof (see… … Universalium
Gödel metric — The Gödel metric is an exact solution of the Einstein field equations in which the stress energy tensor contains two terms, the first representing the matter density of a homogeneous distribution of swirling dust particles, and the second… … Wikipedia
