Contradictory

[kon-truh-dik-tuh-ree] /ˌkɒn trəˈdɪk tə ri/

adjective
1.
asserting the contrary or opposite; ; inconsistent; logically opposite:
contradictory statements.
2.
tending or inclined to .
noun, plural contradictories.
3.
Logic. a proposition so related to a second that it is impossible for both to be true or both to be false.
/ˌkɒntrəˈdɪktərɪ/
adjective
1.
inconsistent; incompatible
2.
given to argument and contention: a contradictory person
3.
(logic) (of a pair of statements) unable both to be true or both to be false under the same circumstances Compare contrary (sense 5), subcontrary (sense 1)
noun (pl) -ries
4.
(logic) a statement that cannot be true when a given statement is true or false when it is false
adj.

1530s, “mutually opposed, at variance,” from Late Latin contradictorius “containing a contradiction or objection,” from contradictus, past participle of contradicere (see contradiction). Meaning “fond of contradicting” is from 1891. Used earlier as a noun (late 14c.).