completeness

== English == === Alternative forms === completenesse (obsolete) === Etymology === From complete + -ness. === 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 T ⊨ ϕ {\displaystyle T\vDash \phi } is true, then T ⊢ ϕ {\displaystyle T\vdash \phi } must also be true, for any wff φ of logic L. ==== Synonyms ==== (state of being complete): completion, fulfillment; see also Thesaurus:completion ==== Antonyms ==== incompleteness, unfinishedness; see also Thesaurus:incompletion ==== Derived terms ==== completeness axiom ==== Translations ====