Logicless vs. Illogical — What's the Difference?

Without logic; alogical or illogical.

Contradicting or disregarding the principles of logic.

Without logic; senseless.

Contrary to logic; lacking sense or sound reasoning.

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.

Lacking in correct logical relation

Lacking orderly continuity;