- Gödel's theorem(s)
- <

*Philosophy dictionary.
Academic.
2011.*

- Gödel's theorem(s)
- <

*Philosophy dictionary.
Academic.
2011.*

**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**— 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**— 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**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**Löb's theorem**— In mathematical logic, Löb s theorem states that in a theory with Peano arithmetic, for any formula P, if it is provable that if P is provable then P , then P is provable. I.e.:if PA vdash Bew(# P) ightarrow P, then PA vdash Pwhere Bew(#P) means… … Wikipedia**Rosser's theorem**— This article is about a theorem in number theory. For the Gödel ndash;Rosser incompleteness theorems, see Gödel s incompleteness theorems and Rosser s trick. In number theory, Rosser s theorem was proved by J. Barkley Rosser in 1938. Its… … Wikipedia