Il‐log″ic‐al (?), a. 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.
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Webster's Dictionary 1913
Webster's Revised Unabridged Dictionary, C. & G. Merriam Co., 1913.