Expressibility and the Liar's Revenge
Australasian Journal of Philosophy 89 (2):297-314 (2011)
| Abstract | There is a standard objection against purported explanations of how a language L can express the notion of being a true sentence of L. According to this objection, such explanations avoid one paradox (the Liar) only to succumb to another of the same kind. Even if L can contain its own truth predicate, we can identify another notion it cannot express, on pain of contradiction via Liar-like reasoning. This paper seeks to undermine such ‘revenge’ by arguing that it presupposes a dubious assumption about the linguistic expression of concepts. Successful revenge would require that there be a notion other than truth that plays the same role with respect to concept-expression that truth is naturally thought to play before we are confronted with the Liar paradox. | |||||||||
| Keywords | truth concept-expression Kripke Tarski's theorem | |||||||||
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Patrick Greenough (2001). Free Assumptions and the Liar Paradox. American Philosophical Quarterly 38 (2):115 - 135.
Bradley Dowden, Liar Paradox. Internet Encyclopedia of Philosophy.
Matti Eklund (2007). The Liar Paradox, Expressibility, Possible Languages. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Douglas Patterson (2007). Understanding the Liar. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Kevin Scharp (2007). Alethic Vengeance. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
J. C. Beall (ed.) (2007). Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Matt Leonard (2012). Burge's Contextual Theory of Truth and the Super-Liar Paradox. In Michal Pelis Vit Puncochar (ed.), The Logica Yearbook 2011. College Publications.
Jason Zarri (2010). A Dilemma for Dialetheism. The Dualist 15 (Spring):21-31.
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