ENGLISH DICTIONARY

Completeness

Definition, Meaning & Examples

Part of speech noun

Quick meaning: Completeness is a noun meaning The state or condition of being complete.

Meaning

The state or condition of being complete.

More Meanings

  1. (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 T⊨ϕ is true, then T⊢ϕ must also be true, for any wff φ of logic L.

Example Sentences

THEOREM 37°. (Gödel's completeness theorem 1930.) In the predicate calculus H: (a) If #92;vDashF [or even if #92;aleph#95;0-#92;vDashF], then #92;vdashF. If E#95;1,...,E#95;k#92;vDashF [or even if E#95;1,...,E#95;k#92;#92;aleph#95;0-#92;vDashF], then E#95;1,...,E#95;k#92;vdashF. (b) […]

Word Forms

Synonyms for completeness

Depending on context, synonyms include completion, fulfillment.

Antonyms for completeness

Common opposites include incompleteness, unfinishedness.

Related Words

Related dictionary entries include comprehensiveness, exhaustive, totality, thoroughness, fully, entirety.

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Sources & Attribution

FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0

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