contradiction

n. [ L. contradictio answer, objection: cf. F. contradiction. ] 1. An assertion of the contrary to what has been said or affirmed; denial of the truth of a statement or assertion; contrary declaration; gainsaying. [ 1913 Webster ]

His fair demands
Shall be accomplished without contradiction. Shak. [ 1913 Webster ]

2. Direct opposition or repugnancy; inconsistency; incongruity or contrariety; one who, or that which, is inconsistent. [ 1913 Webster ]

can he make deathless death? That were to make
Strange contradiction. Milton. [ 1913 Webster ]

We state our experience and then we come to a manly resolution of acting in contradiction to it. Burke. [ 1913 Webster ]

Both parts of a contradiction can not possibly be true. Hobbes. [ 1913 Webster ]

Of contradictions infinite the slave. Wordsworth. [ 1913 Webster ]

Principle of contradiction (Logic), the axiom or law of thought that a thing cannot be and not be at the same time, or a thing must either be or not be, or the same attribute can not at the same time be affirmed and and denied of the same subject; also called the law of the excluded middle. It develops itself in three specific forms which have been called the “Three Logical Axioms.” First, “A is A.” Second, “A is not Not-A” Third, “Everything is either A or Not-A.” [ 1913 Webster ]