Peirce's law

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English[edit]

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Etymology[edit]

Named after the logician and philosopher Charles Sanders Peirce.

Proper noun[edit]

Peirce's law

  1. (logic) The classically valid but intuitionistically non-valid formula of propositional calculus, which can be used as an substitute for the law of excluded middle in implicational propositional calculus.
    • Consider Peirce's law, . If Q is true, then is also true so the law reads "If truth implies P then deduce P" which certainly makes sense. If Q is false, then so the law reads , which is intuitionistically false but equivalent to the classical axiom .

Anagrams[edit]