KnowraPrinciple of explosionLinked fromLinked fromThe 8 pages that link to Principle of explosion, each with the reason it gives.All 8Related 5Compared with 3Logical consequenceRelated: It shows a consequence relation's practical behavior when premises are inconsistent.Paraconsistent logicCompared with: Rejecting or limiting this principle is the defining formal move of paraconsistent logic.ConsistencyRelated: Explosion explains why a classical theory deriving a contradiction can prove every statement.ContradictionRelated: It shows why contradictions have especially severe consequences in classical logic.Relevant logicCompared with: Relevant logics commonly reject unrestricted explosion as another disconnected inference.Reductio ad absurdumRelated: It explains why deriving a contradiction makes a premise set unusable in classical logic.Law of noncontradictionRelated: Classical systems combine noncontradiction with rules that make contradictions inferentially explosive.Conjunction eliminationCompared with: Conjunction elimination extracts a stated component; explosion permits arbitrary conclusions from inconsistency.