unlogic
Etymology
From un- + logic.
unlogic means want or absence of logic; illogic. Lexicurio rates it Rare gem — a strength score of 82 out of 100.
noun
- Want or absence of logic; illogic“The most Conservative English People, thickest-skinned, most patient of Peoples, is driven alike by its Logic and its Unlogic, by things 'spoken,' and by things not yet spoken or very speakable, but only felt […]”