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Normality Operators and Classical Collapse

In T. Arazim P. And Lavicka (ed.), The Logica Yearbook 2017. Londra, Regno Unito: pp. 2-20 (2018)

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  1. Normality operators and classical recapture in many-valued logic.Roberto Ciuni & Massimiliano Carrara - 2020 - Logic Journal of the IGPL 28 (5):657-683.
    In this paper, we use a ‘normality operator’ in order to generate logics of formal inconsistency and logics of formal undeterminedness from any subclassical many-valued logic that enjoys a truth-functional semantics. Normality operators express, in any many-valued logic, that a given formula has a classical truth value. In the first part of the paper we provide some setup and focus on many-valued logics that satisfy some of the three properties, namely subclassicality and two properties that we call fixed-point negation property (...)
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