illogico
Illogico is an Italian adjective meaning not logical or lacking in logical coherence. It is used to describe statements, arguments, or conclusions that do not meet the standards of validity or soundness required by formal logic, as well as thinking or behavior that seems irrational or inconsistent.
The word derives from Latin illogicus, from in- “not” + logicus “related to logic,” and is cognate
In philosophy and rhetoric, illogico is applied to arguments with fallacies, non sequiturs, or contradicting premises.
Although related terms exist—logico, logic, logica—illogico is not a formal label of a specific logical theory