What is a truth value and how many are there?
Studia Logica 92 (2):183 - 201 (2009)
| Abstract | Truth values are, properly understood, merely proxies for the various relations that can hold between language and the world. Once truth values are understood in this way, consideration of the Liar paradox and the revenge problem shows that our language is indefinitely extensible, as is the class of truth values that statements of our language can take – in short, there is a proper class of such truth values. As a result, important and unexpected connections emerge between the semantic paradoxes and the set-theoretic paradoxes. | |||||||||
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Hartry Field (2003). A Revenge-Immune Solution to the Semantic Paradoxes. Journal of Philosophical Logic 32 (2):139-177.
Jon Barwise (1987). The Liar: An Essay on Truth and Circularity. Oxford University Press.
Michael Mccord & Arendse Bernth (2005). A Metalogical Theory of Natural Language Semantics. Linguistics and Philosophy 28 (1):73 - 116.
Kevin Scharp (2007). Alethic Vengeance. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
I. L. Humberstone (1993). Functional Dependencies, Supervenience, and Consequence Relations. Journal of Logic, Language and Information 2 (4):309-336.
Yaroslav Shramko & Heinrich Wansing (2006). Hyper-Contradictions, Generalized Truth Values and Logics of Truth and Falsehood. Journal of Logic, Language and Information 15 (4).
Dale Jacquette (2010). Circularity or Lacunae in Tarski's Truth-Schemata. Journal of Logic, Language and Information 19 (3).
Roy T. Cook (2011). The No-No Paradox Is a Paradox. Australasian Journal of Philosophy 89 (3):467-482.
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