invalidity vs illogic

invalidity and illogic both are nouns.

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

As nouns, illogic is a hypernym of invalidity; that is, illogic 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
illogic: invalid or incorrect reasoning

Other hypernyms of invalidity include illogicality, illogicalness, inconsequence.

invalidity (noun)	illogic (noun)
illogicality as a consequence of having a conclusion that does not follow from the premisses	invalid or incorrect reasoning