Contradictory

a. [L. Lat. contradictorius, Fr. contradictoire, Pr. contradictori, Sp., Pg., & It. contradictorio.]

1. Affirming the contrary; implying a denial of what has been asserted; opposing in terms. “Contradictory assertions.” South.
2. Inconsistent; contrary; repugnant. “Schemes . . . contradictory to common sense.” Addison.
3. (Logic.) Opposed in every possible respect, that is, in quantity and in quality.