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 shown to be both true and false or a statement whose truth or falsity cannot be deduced from other statements in the system — called also Godel's incompleteness theorem

New Collegiate Dictionary. 2001.

### Look at other dictionaries:

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

• 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 — all branches of mathematics are based on propositions that can’t be proved within that branch (named for mathematician Kurt Godel) …   Eponyms, nicknames, and geographical games

• Gödel's theorem — /ˈgɜdəlz θɪərəm/ (say gerduhlz thearruhm) noun the proposition that in a formal axiomatic system, such as logic or mathematics, it is impossible to prove consistency without using methods beyond those of the system itself. {from Kurt Gödel,… …   Australian English dictionary

• Gödel's theorem(s) — Gödel s first incompleteness theorem states that for any consistent logical system S able to express arithmetic there must exist sentences that are true in the standard interpretation of S, but not provable. Moreover, if S is omega consistent… …   Philosophy dictionary

• Gödel's theorem(s) — …   Philosophy dictionary

• 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

• Godel's incompleteness theorem — noun see Godel s theorem …   New Collegiate Dictionary