contrary - noun

a relation of direct opposition

exact opposition

a logical relation such that two propositions are contraries if both cannot be true but both can be false

contrary - adjective

• very opposed in nature or character or purpose
• of words or propositions so related that both cannot be true but both may be false
• resistant to guidance or discipline
• in an opposing direction

contrary - thesaurus

adverse   obstinate   opposite   perverse   reverse   wayward