Englishfor English speakers
contradictory
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adjective
of words or propositions so related that both cannot be true and both cannot be false
'perfect' and 'imperfect' are contradictory terms
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noun
two propositions are contradictories if both cannot be true (or both cannot be false) at the same time
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adjective
unable to be both true at the same time
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adjective
(= confounding)
that confounds or contradicts or confuses
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adjective
(= at odds)
in disagreement
the figures are at odds with our findings
contradictory attributes of unjust justice and loving vindictiveness
— John Morley
proposition
Noun
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A proposition is a statement or a suggestion.
The boss's proposition that everybody work for free on Sundays made his workers very unhappy.
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A proposition is an offer.
I have a proposition for you: if you work on Monday for me, I will work the next two Saturdays for you.