The Knowability Argument and the Syntactic Type-Theoretic Approach

Theoria 29 (2):201-221 (2014)
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Abstract

Some attempts have been made to block the Knowability Paradox and other modal paradoxes by adopting a type-theoretic framework in which knowledge and necessity are regarded as typed predicates. The main problem with this approach is that when these notions are simultaneously treated as predicates, a new kind of paradox appears. I claim that avoiding this paradox either by weakening the Knowability Principle or by introducing types for both predicates is rather messy and unattractive. I also consider the prospect of using the truth predicate to emulate other modal notions. It turns out that this idea works quite well.

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Lucas Rosenblatt
Universidad de Buenos Aires (UBA)

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References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Axiomatic Theories of Truth.Volker Halbach - 2010 - Cambridge, England: Cambridge University Press.
A logical analysis of some value concepts.Frederic Fitch - 1963 - Journal of Symbolic Logic 28 (2):135-142.
Axiomatic theories of truth.Volker Halbach - 2008 - Stanford Encyclopedia of Philosophy.
New Essays on the Knowability Paradox.Joe Salerno (ed.) - 2008 - Oxford, England and New York, NY, USA: Oxford University Press.

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