Mathematical Perspectives on Liar Paradoxes

• Published in: Logica universalis Vol. 15; no. 3; pp. 251 - 269
• Main Authors: Usó-Doménech, José-Luis, Nescolarde-Selva, Josué-Antonio, Segura-Abad, Lorena, Alonso-Stenberg, Kristian, Gash, Hugh
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.09.2021; Springer Nature B.V
• Subjects: Computer Science; Logic; Mathematics; Mathematics and Statistics; Paradoxes; Philosophy; Sentences; Paradox; 03B42; Determined compatible propositions; Incompatible propositions; 01A20; Liar paradox; Logic; Metalanguage; Systems

The liar paradox is a famous and ancient paradox related to logic and philosophy. It shows it is perfectly possible to construct sentences that are correct grammatically and semantically but that cannot be true or false in the traditional sense. In this paper the authors show four approaches to inte...