contradictory
1. [ adjective ] of words or propositions so related that both cannot be true and both cannot be false
Examples:

"`perfect' and `imperfect' are contradictory terms"

Related terms: antonymous
2. [ adjective ] unable to be both true at the same time
Synonyms: mutually_exclusive
Related terms: incompatible
3. [ adjective ] that confounds or contradicts or confuses
Synonyms: confounding
Related terms: unsupportive
4. [ adjective ] in disagreement
Synonyms: conflicting at_odds self-contradictory
Examples:

"the figures are at odds with our findings" "contradictory attributes of unjust justice and loving vindictiveness"- John Morley

Related terms: inconsistent
5. [ noun ] (mathematics) two propositions are contradictories if both cannot be true (or both cannot be false) at the same time
Related terms: logical_relation
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