KnowraParaconsistent logicLinked fromLinked fromThe 27 pages that link to Paraconsistent logic, each with the reason it gives.All 27Related 8Compared with 19Intuitionistic logicCompared with: Its rejection of explosion addresses a different classical principle than intuitionistic logic's rejection of unrestricted excluded middle.Classical logicCompared with: It blocks classical explosion when premises are inconsistent.Logical consequenceCompared with: Its consequence relation blocks classical explosion from inconsistent premises.NegationCompared with: It limits the consequences of propositions appearing alongside their negations.ConsistencyCompared with: It shows that tolerating contradictions need not make a theory trivial.Truth valueCompared with: Some paraconsistent systems allow inconsistent information without collapsing all truth assessments.Formal systemCompared with: Its consequence rules avoid a failure associated with contradiction in classical logic.Formal logicCompared with: It alters classical behavior when premises are inconsistent.Law of Excluded MiddleCompared with: Some paraconsistent systems also reject excluded middle, though that rejection is independent of tolerating contradictions.DisjunctionCompared with: Its treatment of inconsistent premises can alter how disjunctive reasoning behaves.LogicCompared with: It blocks classical explosion, allowing inconsistent information to be reasoned with.Principle of explosionCompared with: It rejects explosion while allowing some inconsistent theories to remain usable.History of logicCompared with: It revises classical consequence to handle inconsistent information without collapse.Symbolic logicCompared with: It revises classical consequence to reason consistently from inconsistent information.Law of noncontradictionCompared with: It permits reasoning from inconsistent information without trivializing the whole theory.Principle of bivalenceCompared with: Some paraconsistent systems allow truth-value patterns that classical bivalence excludes.Law of identityCompared with: Some paraconsistent systems retain identity while revising other classical principles.Consequentia mirabilisCompared with: It challenges the explosive classical reasoning that can appear in contradiction-based derivations.Philosophical logicCompared with: It rejects classical explosion to make inconsistent information logically manageable.
KnowraParaconsistent logicLinked fromLinked fromThe 27 pages that link to Paraconsistent logic, each with the reason it gives.All 27Related 8Compared with 19Intuitionistic logicCompared with: Its rejection of explosion addresses a different classical principle than intuitionistic logic's rejection of unrestricted excluded middle.Classical logicCompared with: It blocks classical explosion when premises are inconsistent.Logical consequenceCompared with: Its consequence relation blocks classical explosion from inconsistent premises.NegationCompared with: It limits the consequences of propositions appearing alongside their negations.ConsistencyCompared with: It shows that tolerating contradictions need not make a theory trivial.Truth valueCompared with: Some paraconsistent systems allow inconsistent information without collapsing all truth assessments.Formal systemCompared with: Its consequence rules avoid a failure associated with contradiction in classical logic.Formal logicCompared with: It alters classical behavior when premises are inconsistent.Law of Excluded MiddleCompared with: Some paraconsistent systems also reject excluded middle, though that rejection is independent of tolerating contradictions.DisjunctionCompared with: Its treatment of inconsistent premises can alter how disjunctive reasoning behaves.LogicCompared with: It blocks classical explosion, allowing inconsistent information to be reasoned with.Principle of explosionCompared with: It rejects explosion while allowing some inconsistent theories to remain usable.History of logicCompared with: It revises classical consequence to handle inconsistent information without collapse.Symbolic logicCompared with: It revises classical consequence to reason consistently from inconsistent information.Law of noncontradictionCompared with: It permits reasoning from inconsistent information without trivializing the whole theory.Principle of bivalenceCompared with: Some paraconsistent systems allow truth-value patterns that classical bivalence excludes.Law of identityCompared with: Some paraconsistent systems retain identity while revising other classical principles.Consequentia mirabilisCompared with: It challenges the explosive classical reasoning that can appear in contradiction-based derivations.Philosophical logicCompared with: It rejects classical explosion to make inconsistent information logically manageable.