High Quality Content by WIKIPEDIA articles! 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"; that is, once a contradiction has been asserted, any proposition (or its negation) can be inferred from it. In symbolic terms, the principle of explosion can be expressed in the following way (where "vdash" symbolizes the relation of logical consequence): { phi , lnot phi } vdash psi. This can be read as, "If one claims something is both true (phi,) and not true (lnot phi), one can logically derive any conclusion ( )." The principle of explosion is also known as ex falso quodlibet, ex falso sequitur quodlibet (EFSQ for short), ex contradictione (sequitur) quodlibet (ECQ for short), and ex falso/contradictione (sequitur) (Latin: "from falsehood/contradiction (follows) anything", literally "... what pleases").

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