Abstract
In this note we present a three-valued intensional logic, which is an extension of both Montague's intensional logic and Łukasiewicz three-valued logic. Our system is obtained by adapting Gallin's version of intensional logic (see Gallin, D., Intensional and Higher-order Modal Logic). Here we give only the necessary modifications to the latter. An acquaintance with Gallin's work is pressuposed.
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References
E. H. Alves, Sobre um sistema de lógica intensional trivalente, Thesis, UNICAMP, 1984.
P. Andrews, A reduction of the axioms for the theory of prepositional types, Fundamenta Mathematicae 52 (1963), pp. 345–50.
U. Blau, Zur 3-wertigen Logik der natürlichen Sprache, Papiere zur Linguistik 4 (1973), pp. 20–96.
D. Gallin, Intensional and Higher-Order modal logics, North-Holland, Amsterdam, 1975.
L. Henkin, A theory of propositional types, Fundamenta Mathematicae 52 (1963), pp. 323–44.
R. Montague, Formal Philosophy: selected papers of Richard Montague, ed. Richmond Thomason, New Haven, 1974.
J. B. Rosser and A. R. Turquette, Many-Valued logics, North-Holland, Amsterdam, 1952.
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Alves, E.H., Guerzoni, J.A.D. Extending Montague's system: a three valued intensional logic. Stud Logica 49, 127–132 (1990). https://doi.org/10.1007/BF00401558
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DOI: https://doi.org/10.1007/BF00401558