Definition of Principle of contradiction. Meaning of Principle of contradiction. Synonyms of Principle of contradiction

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Definition of 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. His fair demands Shall be accomplished without contradiction. --Shak. 2. Direct opposition or repugnancy; inconsistency; incongruity or contrariety; one who, or that which, is inconsistent. can be 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. 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. 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.'

Meaning of Principle of contradiction from wikipedia

- law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states...
- from the law of identity (and the principle of non-contradiction): "Necessary truths are those that can be demonstrated through an analysis of terms, so...
- not till long after, that either of them obtained a distinctive appellation. To take the principle of Contradiction first. This law Plato frequently employs...
- may prove any proposition from a set of axioms which contains contradictions. This is called the "principle of explosion", or "ex falso quodlibet" ("from...
- implied by the principle of Proof by contradiction. The laws of excluded middle and non-contradiction together mean that exactly one of P and ¬P is true...
- systems, the principle of explosion is the law according to which any statement can be proven from a contradiction. That is, from a contradiction, any proposition...
- oxymora) is a figure of speech that juxtaposes concepts with opposite meanings within a word or in a phrase that is a self-contradiction. As a rhetorical...
- A principle may relate to a fundamental truth or proposition that serves as the foundation for a system of beliefs or behavior or a chain of reasoning...
- logic and history of logic. He thought innovatively about traditional propositional logic, the principle of non-contradiction and the law of excluded middle...
- certain fundamental axioms on which all science rests. Such are the principle of contradiction, "a thing cannot be and not be at the same time," and self-evident...