Some supervaluation-based consequence relations

Journal of Philosophical Logic 32 (3):225-244 (2003)
In this paper, we define some consequence relations based on supervaluation semantics for partial models, and we investigate their properties. For our main consequence relation, we show that natural versions of the following fail: upwards and downwards Lowenheim-Skolem, axiomatizability, and compactness. We also consider an alternate version for supervaluation semantics, and show both axiomatizability and compactness for the resulting consequence relation.
Keywords consequence relations  partial models  supervaluations  three-valued logic
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DOI 10.1023/A:1024240422978
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References found in this work BETA
Saul A. Kripke (1975). Outline of a Theory of Truth. Journal of Philosophy 72 (19):690-716.
David Lewis (1970). General Semantics. Synthese 22 (1-2):18--67.

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Citations of this work BETA
Richard Dietz (2008). Betting on Borderline Cases. Philosophical Perspectives 22 (1):47-88.
Philip Kremer (2008). Supervaluation Fixed-Point Logics of Truth. Journal of Philosophical Logic 37 (5):407 - 440.

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