Webster's Revised Unabridged Dictionary · 1913

Contradiction

Contradiction , noun

[Latin contradictio answer, objection: compare French 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.
His fair demands Shall be accomplished without contradiction. — Shakespeare
2.
Direct opposition or repugnancy; inconsistency; incongruity or contrariety; one who, or that which, is inconsistent.
can he make deathless death? That were to make Strange contradiction. — Milton
We state our experience and then we come to a manly resolution of acting in contradiction to it. — Burke
Both parts of a contradiction can not possibly be true. — Hobbes
Of contradictions infinite the slave. — Wordsworth

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.”

Collocations (1)
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. Three Logical Axioms. A is A. A is not Not-A Everything is either A or Not-A.