correctness vs incorrect

correctness is a noun but incorrect is not a noun.

Word	Noun	Adjective	Verb	Adverb
correctness	Yes	No	No	No
incorrect	No	Yes	No	No

correctness (noun)	incorrect (noun)
conformity to fact or truth
the quality of conformity to social expectations

correctness (adjective)	incorrect (adjective)
	not correct; not in conformity with fact or truth
	not in accord with established usage or procedure
	characterized by errors; not agreeing with a model or not following established rules
	(of a word or expression) not agreeing with grammatical principles