Contradictory /(?)/

1. Affirming the contrary; implying a denial of what has been asserted; also, mutually contradicting; inconsistent.
2. Opposing or opposed; repugnant.

   Schemes . . . contradictory to common sense.

pl. Contradictories

1. A proposition or thing which denies or opposes another; contrariety.

   It is common with princes to will contradictories.

2. propositions with the same terms, but opposed to each other both in quality and quantity. (Logic)