Tending to contradict or oppose, contrarious.
That contradicts something, such as an argument.
That is diametrically opposed to something.
That is itself a contradiction.
Mutually exclusive.
Either of a pair of propositions, that cannot both be true or both be false.
Conflicting or contradictory.
in teleosemantics, being a representation with both indicative and imperative content.
A person who behaves in a conflicting or contradictory manner.