illogical vs nonrational

illogical and nonrational both are adjectives.

Word	Noun	Adjective	Verb	Adverb
illogical	No	Yes	No	No
nonrational	No	Yes	No	No

illogical (adjective)	nonrational (adjective)
lacking in correct logical relation	obtained through intuition rather than from reasoning or observation
lacking orderly continuity	not based on reason