paradox (logic)

to go against; to run counter to

to be contrary to; to run counter to each other; to conflict

to coexist without being mutually exclusive or contradictory

contrary; rebellious

contrary to reason, logic, or common sense; preposterous

(coll.) muddleheaded

(literary) brazen; outrageous; defiant

to be deluded, irrational, or in a state of mental disorder

to violate or go against rules, principles, or moral standards