The state or condition of being complete.
Used in a Sentence
completeness
Definitions, parts of speech, synonyms, and sentence examples for completeness.
Editorial note
I didn't confuse completeness in the sense of the Completeness Theorem with the sense in the Incompleteness Theorem.
Examples18
Definitions2
Parts of speech1
Quick take
The state or condition of being complete.
Meaning at a glance
The clearest senses and uses of completeness gathered in one view.
(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.
Definitions
Core meanings and parts of speech for completeness.
noun
The state or condition of being complete.
noun
(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
I didn't confuse completeness in the sense of the Completeness Theorem with the sense in the Incompleteness Theorem.
Surprised not to see this [1] cited next to the Yale study for the sake of completeness.
NP-completeness for automatic fence placement between two specified instructions in the presence of arbitrary goto statements.
Other domains might be all the way on the completeness side, like the throw-away prototypes, temporary stand-alone marketing sites, etc.
All tautologies like that are better be provable with logical axioms alone, and Goedel's Completeness Theorem ensures that they are.
It is also ironic because React's rejection of FRP in its completeness has also spawned a very poor substitute they call Flux.
The Completeness Theorem doesn't enter into that counterexample of yours in any way.
I don't think it's Turing completeness that's the issue (though it is an issue, of course) so much as non-invertibility.
In fact, his Completeness Theorem proves the opposite of what you claim.
Summary: They are going for the foundations of maths, computer science, and logic with completeness, decidability and computability on the menu.
Add Windows Phone for completeness and most small companies would hire you on the spot because they can't afford a separate developer for each platform.
But that fact has nothing to do with Goedel's Completeness Theorem.
Quote examples
So your second paragraph "In fact, his Completeness Theorem proves the opposite of what you claim" is nonsense, too.
Godel's Completeness Theorem has absolutely nothing to do with his Incompleteness Theorem, and the "completeness" it talks about is very different from the "incompleteness" the other theorem talks about.
Isn't completeness about relating what can be proved with what is "true"?
But it doesn't matter for the definition of "completeness".
Proper noun examples
Completeness is how shippable the thing is.
Ever heard of the concept of Turing Completeness, Google it...
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use completeness in a sentence?
I didn't confuse completeness in the sense of the Completeness Theorem with the sense in the Incompleteness Theorem.
What does completeness mean?
The state or condition of being complete.
What part of speech is completeness?
completeness is commonly used as noun.