Godel's incompleteness theorem
noun see Godel's theorem

New Collegiate Dictionary. 2001.

### Look at other dictionaries:

• gödel's incompleteness theorem — noun see gödel s theorem …   Useful english 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 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'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 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's theorem — noun also gödel s incompleteness theorem ˈgœ̅dəlz Usage: usually capitalized G Etymology: after Kurt Gödel died 1978 American mathematician : a theorem in advanced logic: in any logical system as complex or more complex than the arithmetic of the …   Useful english dictionary

• Godel's theorem — noun Etymology: Kurt Gödel died 1978 American mathematician Date: 1933 a theorem in advanced logic: in any logical system as complex as or more complex than the arithmetic of the integers there can always be found either a statement which can be… …   New Collegiate Dictionary

• Gödel's theorem — may refer to: *Gödel s incompleteness theorems *Gödel s completeness theorem …   Wikipedia