English new terms dictionary. 2014.
incompleteness theorem — … Useful english dictionary
Proof sketch for Gödel's first incompleteness theorem — This article gives a sketch of a proof of Gödel s first incompleteness theorem. This theorem applies to any formal theory that satisfies certain technical hypotheses which are discussed as needed during the sketch. We will assume for the… … Wikipedia
Godel's incompleteness theorem — noun see Godel s theorem … New Collegiate Dictionary
Gödel's incompleteness theorem — Logic, Math. 1. the theorem that states that in a formal logical system incorporating the properties of the natural numbers, there exists at least one formula that can be neither proved nor disproved within the system. 2. the corollary that the… … Universalium
Gödel's incompleteness theorem — noun A theorem in mathematical logic that states that no consistent system can be used to prove its own consistency … Wiktionary
gödel's incompleteness theorem — noun see gödel s theorem … Useful english dictionary
Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements … Wikipedia
incompleteness — noun the state or condition of being not complete Ant: completeness See Also: Gödels incompleteness theorem … Wiktionary
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
