invalidity vs inconsequence

invalidity and inconsequence both are nouns.

Word	Noun	Adjective	Verb	Adverb
invalidity	Yes	No	No	No
inconsequence	Yes	No	No	No

As nouns, inconsequence is a hypernym of invalidity; that is, inconsequence is a word with a broader meaning than invalidity:

invalidity: illogicality as a consequence of having a conclusion that does not follow from the premisses
inconsequence: invalid or incorrect reasoning

Other hypernyms of invalidity include illogic, illogicality, illogicalness.

invalidity (noun)	inconsequence (noun)
illogicality as a consequence of having a conclusion that does not follow from the premisses	having no important effects or influence
	invalid or incorrect reasoning