Invalidity

n.	1.
	1.	Lack of validity or cogency; lack of legal force or efficacy; invalidness; as, the invalidity of an agreement or of a will.
	2.	Lack of health; infirmity.

Noun

1.

invalidity - illogicality as a consequence of having a conclusion that does not follow from the premisses Synonyms: invalidness

fallaciousness, illogic, illogicality, illogicalness, invalidness