### Definition of Peirce's law

1. Noun. (logic) The classically valid but intuitionistically non-valid formula $\left(\left(P \to Q\right) \to P\right) \to P$ of propositional calculus, which can be used as an substitute for the law of excluded middle in implicational propositional calculus. ¹

¹ Source: wiktionary.com

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