(a.) Contrary of the rules of logic or sound reasoning; as, an illogical inference\.

aberrant abroad absonant adrift all abroad all off all wrong amiss askew astray at fault awry beside the mark contradictory contrary to reason corrupt deceptive defective delusive deviant deviational deviative distorted errant erring erroneous fallacious FALSE faultful faulty flawed heretical heterodox illusory inauthentic inconclusive incongruous inconsequent inconsequential inconsistent invalid irrational loose nonscientific not following not right not true off off the track out paralogical peccant perverse perverted reasonless self-annulling self-contradictory self-refuting senseless straying unauthentic unconnected unfactual unorthodox unphilosophical unproved unreasonable unscientific untrue wide without reason wrong