Aristotle’s Sea Battle, Excluded Middle and Bivalence

In this paper, I present a formal reconstruction of the classical argument for fatalism set forth by Aristotle in On Interpretation 9. From there, I expose two different formal solutions for avoiding the unwanted conclusion based on the traditional interpretation of Aristotle’s rejection of the Prin...

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Detalles Bibliográficos
Autor: Massolo, Alba
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:Brasil
Institución:Universidade Federal de Santa Catarina (UFSC)
Repositorio:Principia (Florianópolis. Online)
Idioma:inglés
OAI Identifier:oai:periodicos.ufsc.br:article/96708
Acceso en línea:https://periodicos.ufsc.br/index.php/principia/article/view/96708
Access Level:acceso abierto
Palabra clave:Fatalism
Future contingents
Bivalence
Three-valued logic
Supervaluationism
Descripción
Sumario:In this paper, I present a formal reconstruction of the classical argument for fatalism set forth by Aristotle in On Interpretation 9. From there, I expose two different formal solutions for avoiding the unwanted conclusion based on the traditional interpretation of Aristotle’s rejection of the Principle of Bivalence: On the one hand, Łukasiewicz's three-valued logic and, on the other hand, supervaluation semantics. I also address some criticisms made against these two proposals. To finish, I remark on some alternative interpretations of Aristotle’s intentions maintaining that the Stagirite philosopher rejected fatalism without abandoning the Principle of Bivalence.