TWO-VALUED WEAK KLEENE LOGICS

Autor: Damián Enrique Szmuc, Bruno Da Ré
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Manuscrito, Vol 42, Iss 1, Pp 1-43 (2019)
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Manuscrito v.42 n.1 2019
Manuscrito
Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
Popis: In the literature, Weak Kleene logics are usually taken as three-valued logics. However, Suszko has challenged the main idea of many-valued logic claiming thatevery logic can be presented in a two-valued fashion. In this paper, we providetwo-valued semantics for the Weak Kleene logics and for a number of four-valuedsubsystems of them. We do the same for the so-called Logics of Nonsense, which are extensions of theWeak Kleene logics with unary operators that allow looking at them as Logics of Formal Inconsistency (LFIs) and Logics of Formal Underterminedness (LFUs). Our aim with this work, rather than arguing for Suszko´s thesis, is to show that two-valued presentations of these peculiar logics enlighten the non-standard behavior of their logical connectives. More specically, the two-valued presentations of paraconsistent logics illustrate and clarify the disjunctive flavor of the conjunction, and dually, the two-valued presentations of paracomplete subsystems ofWeak Kleene logics reveal the conjunctive flavor of the disjunction. Fil: Da Re, Bruno. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Parque Centenario. Instituto de Investigaciones Filosóficas. - Sociedad Argentina de Análisis Filosófico. Instituto de Investigaciones Filosóficas; Argentina Fil: Szmuc, Damián Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Parque Centenario. Instituto de Investigaciones Filosóficas. - Sociedad Argentina de Análisis Filosófico. Instituto de Investigaciones Filosóficas; Argentina
Databáze: OpenAIRE