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- Peirce's_law abstract "In logic, Peirce's law is named after the philosopher and logician Charles Sanders Peirce. It was taken as an axiom in his first axiomatisation of propositional logic. It can be thought of as the law of excluded middle written in a form that involves only one sort of connective, namely implication.In propositional calculus, Peirce's law says that ((P→Q)→P)→P. Written out, this means that P must be true if there is a proposition Q such that the truth of P follows from the truth of "if P then Q". In particular, when Q is taken to be a false formula, the law says that if P must be true whenever it implies the false, then P is true. In this way Peirce's law implies the law of excluded middle.Peirce's law does not hold in intuitionistic logic or intermediate logics and cannot be deduced from the deduction theorem alone.Under the Curry–Howard isomorphism, Peirce's law is the type of continuation operators, e.g. call/cc in Scheme.".
- Peirce's_law wikiPageID "769546".
- Peirce's_law wikiPageRevisionID "556940128".
- Peirce's_law hasPhotoCollection Peirce's_law.
- Peirce's_law subject Category:Charles_Sanders_Peirce.
- Peirce's_law subject Category:Intuitionism.
- Peirce's_law subject Category:Mathematical_logic.
- Peirce's_law subject Category:Theorems_in_propositional_logic.
- Peirce's_law type Abstraction100002137.
- Peirce's_law type Communication100033020.
- Peirce's_law type Message106598915.
- Peirce's_law type Proposition106750804.
- Peirce's_law type Statement106722453.
- Peirce's_law type Theorem106752293.
- Peirce's_law type TheoremsInPropositionalLogic.
- Peirce's_law comment "In logic, Peirce's law is named after the philosopher and logician Charles Sanders Peirce. It was taken as an axiom in his first axiomatisation of propositional logic. It can be thought of as the law of excluded middle written in a form that involves only one sort of connective, namely implication.In propositional calculus, Peirce's law says that ((P→Q)→P)→P.".
- Peirce's_law label "Lei de Peirce".
- Peirce's_law label "Loi de Peirce".
- Peirce's_law label "Peirce's law".
- Peirce's_law label "Закон Пирса".
- Peirce's_law label "皮尔士定律".
- Peirce's_law sameAs Loi_de_Peirce.
- Peirce's_law sameAs Lei_de_Peirce.
- Peirce's_law sameAs m.039_zt.
- Peirce's_law sameAs Q2387196.
- Peirce's_law sameAs Q2387196.
- Peirce's_law sameAs Peirce's_law.
- Peirce's_law wasDerivedFrom Peirce's_law?oldid=556940128.
- Peirce's_law isPrimaryTopicOf Peirce's_law.