completeness

English dictionary entry

Meanings

noun

The state or condition of being complete.
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.

completeness completenesses completenesse

From complete + -ness.

completion fulfillment

incompleteness unfinishedness

completeness axiom

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