contrary
adjective
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in an opposing directionadverse
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resistant to guidance or discipline“Mary Mary quite contrary”perverse
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very opposed in nature or character or purpose“acts contrary to our code of ethics”
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of words or propositions so related that both cannot be true but both may be false“`hot' and `cold' are contrary terms”
noun
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a logical relation such that two propositions are contraries if both cannot be true but both can be false
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exact opposition“Public opinion to the contrary, the suspect was not guilty.”
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a relation of direct oppositionopposite