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contradictory :

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two propositions are contradictories if both cannot be true (or both cannot be false) at the same time
unable to be both true at the same time incompatible
of words or propositions so related that both cannot be true and both cannot be false; "`perfect'' and `imperfect'' are contradictory terms" antonymous
that confounds or contradicts or confuses unsupportive
in disagreement; "the figures are at odds with our findings"; "contradictory attributes of unjust justice and loving vindictiveness"- John Morley inconsistent


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