Bi-facial Truth: a Case for Generalized Truth Values

Studia Logica 101 (6):1299-1318 (2013)
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Abstract

We explore a possibility of generalization of classical truth values by distinguishing between their ontological and epistemic aspects and combining these aspects within a joint semantical framework. The outcome is four generalized classical truth values implemented by Cartesian product of two sets of classical truth values, where each generalized value comprises both ontological and epistemic components. This allows one to define two unary twin connectives that can be called “semi-classical negations”. Each of these negations deals only with one of the above mentioned components, and they may be of use for a logical reconstruction of argumentative reasoning

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Yaroslav Shramko
Kryvyi Rih State Pedagogical University, Ukraine

References found in this work

Reasoning with Logical Bilattices.Ofer Arieli & Arnon Avron - 1996 - Journal of Logic, Language and Information 5 (1):25--63.
Aristotle's Prior Analytics and Boole's Laws of Thought.John Corcoran - 2003 - History and Philosophy of Logic. 24 (4):261-288.

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