completeness
English
Etymology
Noun
completeness (usually uncountable, plural completenesses)
- the state or condition of being complete
- (logic) The property of a logical theory that whenever a wff is valid then it must also be a theorem. Symbolically, letting T represent a theory within logic L, this can be represented as the property that whenever is true, then must also be true, for any wff φ of logic L.
- 2002, Stephen Cole Kleene, Mathematical Logic, Mineola, New York: Dover Publications, →ISBN Invalid ISBN, page 314:
- THEOREM 37°. (Gödel's completeness theorem 1930.) In the predicate calculus H:
(a) If [or even if -], then . If [or even if -], then .
(b) [...]
- THEOREM 37°. (Gödel's completeness theorem 1930.) In the predicate calculus H:
Synonyms
- (state of being complete): completion, fulfillment; see also Thesaurus:completion
Antonyms
- incompleteness, unfinishedness; see also Thesaurus:incompletion
Translations
state or condition of being complete
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