completeness

IPA: kʌmpɫˈitnʌs

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

Examples of "completeness" in Sentences

Then we establish a converse, called completeness, that an argument is valid only if it is derivable.
The instinct for completeness, which is one of the dominating characteristics of his mind, compelled him to consent.
So, dying isn’t bad, for the person who dies, they are truely going home to be whole and loved in completeness again.
But this higher completeness, which is beauty, whether it happen to exist or not, is never the immediate aim of Nature.
Secondly, the other direction, that is, the completeness part, is proved by what is really known as the Lindenbaum-Tarski method.
In most applications of preference logic, it is taken for granted that the following property, called completeness or connectedness, should be satisfied:
This kind of completeness is rare in parasitic twins, especially among fetus in fetu, which tend not to be "alive" in the sense we think of, but rather a sort of growth in human form.
For us moderns that which most profoundly marks a narrative poem as an epic, is a certain completeness and harmony, a general impression of rest, however the various episodes may be charged with suffering and struggle.
The Llangollen couple were famous for their gardens, and Dorothy creates here likewise a "garden stored with fruits and flowers/And sunny seats and shady bowers," supporting a life whose completeness is emphasized through the repetition of