Principle of contradiction

Principle of contradiction
Contradiction Con`tra*dic"tion, 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}.

Note: 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]


The Collaborative International Dictionary of English. 2000.

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  • Principle of contradiction — Principle Prin ci*ple, n. [F. principe, L. principium beginning, foundation, fr. princeps, cipis. See {Prince}.] 1. Beginning; commencement. [Obs.] [1913 Webster] Doubting sad end of principle unsound. Spenser. [1913 Webster] 2. A source, or… …   The Collaborative International Dictionary of English

  • Principle of contradiction — In logic, the Principle of contradiction ( principium contradictionis in Latin) is the second of the so called three classic laws of thought. The oldest statement of the law is that contradictory statements cannot both at the same time be true, e …   Wikipedia

  • principle of contradiction — law of contradiction * * * principle of contradiction noun The logical principle that a thing cannot both be and not be • • • Main Entry: ↑principle …   Useful english dictionary

  • Principle — Prin ci*ple, n. [F. principe, L. principium beginning, foundation, fr. princeps, cipis. See {Prince}.] 1. Beginning; commencement. [Obs.] [1913 Webster] Doubting sad end of principle unsound. Spenser. [1913 Webster] 2. A source, or origin; that… …   The Collaborative International Dictionary of English

  • Contradiction — Con tra*dic tion, 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]… …   The Collaborative International Dictionary of English

  • Principle of explosion — The principle of explosion is the law of classical logic and a few other systems (e.g., intuitionistic logic) according to which anything follows from a contradiction i.e., once you have asserted a contradiction, you can infer any proposition, or …   Wikipedia

  • Principle of bivalence — In logic, the semantic principle of bivalence states that every proposition takes exactly one of two truth values (e.g. truth or falsehood ). The laws of bivalence, excluded middle, and non contradiction are related, but they refer to the… …   Wikipedia

  • Bitter principle — Principle Prin ci*ple, n. [F. principe, L. principium beginning, foundation, fr. princeps, cipis. See {Prince}.] 1. Beginning; commencement. [Obs.] [1913 Webster] Doubting sad end of principle unsound. Spenser. [1913 Webster] 2. A source, or… …   The Collaborative International Dictionary of English

  • Contradiction — In classical logic, a contradiction consists of a logical incompatibility between two or more propositions. It occurs when the propositions, taken together, yield two conclusions which form the logical, usually opposite inversions of each other.… …   Wikipedia

  • contradiction — Originally a logical term which was taken up by G. W. F. Hegel in order to explain the nature of the dialectical movement in the history of thought, whereby a thesis necessarily begets its antithesis (opposite), and results in a synthesis that… …   Dictionary of sociology

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