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  1. The Representation of Gappy Sentences in Four-Valued Semantics.Genoveva Martí & José Martínez-Fernández - 2021 - Semiotica 2021 (240):145-163.
    Three-valued logics are standardly used to formalize gappy languages, i.e., interpreted languages in which sentences can be true, false or neither. A three-valued logic that assigns the same truth value to all gappy sentences is, in our view, insufficient to capture important semantic differences between them. In this paper we will argue that there are two different kinds of pathologies that should be treated separately and we defend the usefulness of a four-valued logic to represent adequately these two types of (...)
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  • Fixed-Point Posets in Theories of Truth.Stephen Mackereth - 2019 - Journal of Philosophical Logic (1).
    We show that any coherent complete partial order is obtainable as the fixed-point poset of the strong Kleene jump of a suitably chosen first-order ground model. This is a strengthening of Visser’s result that any finite ccpo is obtainable in this way. The same is true for the van Fraassen supervaluation jump, but not for the weak Kleene jump.
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