illogically
Definitions
In a manner that lacks sense or clear, sound reasoning.
Contrary to the rules of logic or formal argument.
Examples
He reacted illogically to the simple question, becoming defensive for no apparent reason.
The character in the novel behaved illogically, making choices that contradicted his established personality.
Synonyms
irrationally unreasonably incoherently absurdly senselessly inconsistently fallaciously
Antonyms
logically rationally reasonably coherently sensibly consistently soundly