Australasian Journal of Philosophy 97 (2):340-353 (2019)

Authors
Bruno Whittle
University of Wisconsin, Madison
Abstract
Kripke [1975] gives a formal theory of truth based on Kleene's strong evaluation scheme. It is probably the most important and influential that has yet been given—at least since Tarski. However, it has been argued that this theory has a problem with generalized quantifiers such as All—that is, All ϕs are ψ—or Most. Specifically, it has been argued that such quantifiers preclude the existence of just the sort of language that Kripke aims to deliver—one that contains its own truth predicate. In this paper I solve the problem by showing how Kleene's strong scheme, and Kripke's theory based on it, can in a natural way be extended to accommodate the full range of generalized quantifiers.
Keywords truth  generalized quantification  Kripke’s theory of truth  Kleene’s strong evaluation scheme
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Reprint years 2019
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DOI 10.1080/00048402.2018.1476980
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References found in this work BETA

In Contradiction: A Study of the Transconsistent.Graham Priest - 1987 - Dordrecht, Netherland: Oxford University Press.
Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Generalized Quantifiers and Natural Language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
Semantic Relationism.Kit Fine - 2007 - Blackwell.
Spandrels of Truth.J. C. Beall - 2009 - Oxford, England: Oxford University Press.

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