incorrect vs incorrectness

incorrect is not a noun while incorrectness is a noun.

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

incorrect (noun)	incorrectness (noun)
	the quality of not conforming to fact or truth
	lack of conformity to social expectations

incorrect (adjective)	incorrectness (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