Illogical
Pronunciation : Il*log"ic*al
Part of Speech : a.
Definition : Defn: Ignorant or negligent of the rules of logic or correct reasoning; as, an illogical disputant; contrary of the rules of logic or sound reasoning; as, an illogical inference. -- Il*log"ic*al*ly, adv. -- Il*log"ic*al*ness, n.
Source : Webster's Unabridged Dictionary, 1913