Erkenntnis 81 (5):993-1010 (2016)

Authors
Casper Storm Hansen
Institute of Philosophy, Chinese Academy of Sciences
Abstract
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 semantics.
Keywords Grounding  Truth  Denotation  Classes  Abstraction  Paradoxes
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DOI 10.1007/s10670-015-9778-2
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References found in this work BETA

Introduction to Metamathematics.Stephen Cole Kleene - 1952 - Princeton, NJ, USA: North Holland.
Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Doubt Truth to Be a Liar.Graham Priest - 2005 - Oxford, England: Oxford University Press.
Mathematical Logic as Based on the Theory of Types.Bertrand Russell - 1908 - American Journal of Mathematics 30 (3):222-262.

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