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    Título
    Belnap-Dunn semantics for natural implicative expansions of Kleene's strong three-valued matrix with two designated values
    Autor
    Robles Vázquez, GemmaAutoridad Buleria
    Méndez Rodríguez, José Manuel
    Facultad/Centro
    Facultad de Filosofia y Letras
    Área de conocimiento
    Logica y Filosofia de la Ciencia
    Título de la revista
    Journal of Applied Non-Classical Logics
    Número de la revista
    1
    Editor
    Taylor & Francis
    Fecha
    2019-01
    Abstract
    A conditional is natural if it fulfils the three following conditions. (1) It coincides with the classical conditional when restricted to the classical values T and F; (2) it satisfies the Modus Ponens; and (3) it is assigned a designated value whenever the value assigned to its antecedent is less than or equal to the value assigned to its consequent. The aim of this paper is to provide a ‘bivalent’ Belnap-Dunn semantics for all natural implicative expansions of Kleene's strong 3-valued matrix with two designated elements. (We understand the notion ‘natural conditional’ according to N. Tomova, ‘A lattice of implicative extensions of regular Kleene's logics’, Reports on Mathematical Logic, 47, 173–182, 2012.)
    Materia
    Filosofía
    Lógica
    Palabras clave
    • Kleene’s strong 3-valued matrix
    • Natural conditionals
    • 3-valued logics
    • Paraconsistent logics
    • Logic of paradox
    • Belnap-Dunn
    Peer review
    SI
    ID proyecto
    • FFI2017-82878-P
    URI
    http://hdl.handle.net/10612/12990
    DOI
    https://doi.org/10.1080/11663081.2018.1534487
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