contradictory
adjective
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unable to be both true at the same timemutually exclusive
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in disagreementat oddsconflictingself-contradictory
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that confounds or contradicts or confusesconfounding
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of words or propositions so related that both cannot be true and both cannot be falseβ`perfect' and `imperfect' are contradictory termsβ
noun
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two propositions are contradictories if both cannot be true (or both cannot be false) at the same time