![]() ![]() Around the turn of the 20th century, the discovery of contradictions such as Russell's paradox at the foundations of mathematics thus threatened the entire structure of mathematics. ![]() Due to the principle of explosion, the existence of a contradiction ( inconsistency) in a formal axiomatic system is disastrous since any statement can be proven, it trivializes the concepts of truth and falsity. The proof of this principle was first given by 12th-century French philosopher William of Soissons. That is, once a contradiction has been asserted, any proposition (including their negations) can be inferred from it this is known as deductive explosion. In classical logic, intuitionistic logic and similar logical systems, the principle of explosion ( Latin: ex falso quodlibet, 'from falsehood, anything ' or ex contradictione quodlibet, 'from contradiction, anything '), or the principle of Pseudo-Scotus (falsely attributed to Duns Scotus), is the law according to which any statement can be proven from a contradiction. JSTOR ( August 2020) ( Learn how and when to remove this template message).Unsourced material may be challenged and removed.įind sources: "Principle of explosion" – news Please help improve this article by adding citations to reliable sources. This article needs additional citations for verification. ![]()
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