# completeness

> English word · Noun · frequency rank #24,415

## Definitions
1. The state or condition of being complete.
2. 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.

## Etymology
From complete + -ness.

## Common misspellings (17)
`ccompleteness`, `cmopleteness`, `comlpeteness`, `commpleteness`, `compelteness`, `compleetness`, `completeenss`, `completenes`, `completenness`, `completenses`, `completneess`, `completteness`, `complleteness`, `complteeness`, `comppleteness`, `copmleteness`, `ocmpleteness`

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/completeness