Etymology
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contradictory (adj.)

1530s, "mutually opposed, at variance, inconsistent, incapable of being true together," from Late Latin contradictorius "containing a contradiction or objection," from contradictus, past participle of contradicere "to speak against" (see contradiction).

Sense of "denying that something stated or approved is completely true" is from c. 1600. Meaning "fond of contradicting" is from 1891. Other adjectives, now obsolete, in the same sense were contradictorious (early 15c.), contradictious (c. 1600), contradictive (1620s). Related: Contradictorily. Used earlier as a noun (late 14c.) in plural contradictories, "a pair of propositions inconsistent with each other."

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Definitions of contradictory
1
contradictory (adj.)
in disagreement; "contradictory attributes of unjust justice and loving vindictiveness"- John Morley;
Synonyms: at odds / conflicting / self-contradictory
contradictory (adj.)
of words or propositions so related that both cannot be true and both cannot be false;
`perfect' and `imperfect' are contradictory terms
contradictory (adj.)
that confounds or contradicts or confuses;
Synonyms: confounding
contradictory (adj.)
unable for both to exist or be true at the same time;
Synonyms: mutually exclusive
2
contradictory (n.)
two propositions are contradictories if both cannot be true (or both cannot be false) at the same time;
From wordnet.princeton.edu