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- Principle_of_explosion abstract "The principle of explosion, (Latin: ex falso quodlibet, "from a falsehood, anything follows", or ex contradictione sequitur quodlibet, "from a contradiction, anything follows") or the principle of Pseudo-Scotus, is the law of classical logic, intuitionistic logic and similar logical systems, according to which any statement can be proven from a contradiction. That is, once a contradiction has been asserted, any proposition (or its negation) can be inferred from it.As a demonstration of the principle, consider two contradictory statements - “All lemons are yellow” and "Not all lemons are yellow", and suppose (for the sake of argument) that both are simultaneously true. If that is the case, anything can be proven, e.g. "Santa Claus exists", by using the following argument: We know that "All lemons are yellow" as it is defined to be true. Therefore the statement that (“All lemons are yellow" OR "Santa Claus exists”) must also be true, since the first part is true. However, if "Not all lemons are yellow" (and this is also defined to be true), Santa Claus must exist - otherwise statement 2 would be false. It has thus been "proven" that Santa Claus exists. The same could be applied to any assertion, including the statement "Santa Claus does not exist".↑".
- Principle_of_explosion wikiPageID "591394".
- Principle_of_explosion wikiPageRevisionID "605675388".
- Principle_of_explosion hasPhotoCollection Principle_of_explosion.
- Principle_of_explosion subject Category:Classical_logic.
- Principle_of_explosion subject Category:Principles.
- Principle_of_explosion subject Category:Theorems_in_propositional_logic.
- Principle_of_explosion type Abstraction100002137.
- Principle_of_explosion type Communication100033020.
- Principle_of_explosion type Message106598915.
- Principle_of_explosion type Proposition106750804.
- Principle_of_explosion type Statement106722453.
- Principle_of_explosion type Theorem106752293.
- Principle_of_explosion type TheoremsInPropositionalLogic.
- Principle_of_explosion comment "The principle of explosion, (Latin: ex falso quodlibet, "from a falsehood, anything follows", or ex contradictione sequitur quodlibet, "from a contradiction, anything follows") or the principle of Pseudo-Scotus, is the law of classical logic, intuitionistic logic and similar logical systems, according to which any statement can be proven from a contradiction.".
- Principle_of_explosion label "Ex falso quodlibet".
- Principle_of_explosion label "Ex falso sequitur quod libet".
- Principle_of_explosion label "Ex falso sequitur quodlibet".
- Principle_of_explosion label "Principe d'explosion".
- Principle_of_explosion label "Principio de explosión".
- Principle_of_explosion label "Principle of explosion".
- Principle_of_explosion label "Princípio de explosão".
- Principle_of_explosion label "爆炸原理".
- Principle_of_explosion sameAs Ex_falso_quodlibet.
- Principle_of_explosion sameAs Principio_de_explosión.
- Principle_of_explosion sameAs Principe_d'explosion.
- Principle_of_explosion sameAs Ex_falso_sequitur_quodlibet.
- Principle_of_explosion sameAs Ex_falso_sequitur_quod_libet.
- Principle_of_explosion sameAs Princípio_de_explosão.
- Principle_of_explosion sameAs m.02t54v.
- Principle_of_explosion sameAs Q60190.
- Principle_of_explosion sameAs Q60190.
- Principle_of_explosion sameAs Principle_of_explosion.
- Principle_of_explosion wasDerivedFrom Principle_of_explosion?oldid=605675388.
- Principle_of_explosion isPrimaryTopicOf Principle_of_explosion.