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  1. The Trivial Object and the Non-Uiviality of a Semantically Closed Theory with Descriptions.Graham Priest - 1998 - Journal of Applied Non-Classical Logics 8 (1-2):171-183.
    After indicating why this is needed, the paper proves a non-triviality result for paraconsistent theory containing arithmetic, naive truth and denotation predicates, and descriptions. The result is obtained by dualising a construction of Kroon. Its most notable feature is that there is a trivial object- one that has every property.
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  • Unified Grounding.Casper Storm Hansen - 2016 - Erkenntnis 81 (5):993-1010.
    This paper offers a unification and systematization of the grounding approaches to truth, denotation, classes and abstraction. Its main innovation is a method for “kleenifying” bivalent semantics so as to ensure that the trivalent semantics used for various linguistic elements are perfectly analogous to the semantics used by Kripke, rather than relying on intuition to achieve similarity. The focus is on generalizing strong Kleene semantics, but one section is devoted to supervaluation, and the unification method also extends to weak Kleene (...)
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