David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
The Dualist 15 (Spring):21-31 (2010)
Dialetheic accounts of the liar paradox hold that liar sentences are both true and false. One problem that besets accounts of the liar paradox is that of “revenge liars”. A revenge liar is a liar sentence which, while being of the same kind as the liar sentences an account attempts to handle, cannot be handled in the same way they are without generating contradictions that the account in question is powerless to resolve. It might be thought that dialetheic accounts are immune to revenge problems: If one can intelligibly hold that standard liars are both true and false, why not revenge liars as well? However, in this paper it is argued that dialetheism faces a dilemma: Either it cannot express the distinction between those sentences which are both true and false and those which are not, or else it too suffers from revenge problems. I explore a few different ways in which a dialetheist might try to avoid this dilemma. First, I present a variant of the logic called LP, and show both that it is subject to revenge problems and that it is not well suited to a dialetheic interpretation. Second, I develop a means of expressing the exclusive truth or falsity of sentences which can be utilized by any language that has certain features. Unfortunately, it leads straight to trivialism. Finally, I examine the claim that dialetheists can express the exclusive truth or falsity of sentences in the same way a non-dialetheist can, and conclude that they cannot do so. In the end, it seems that dialetheism’s dilemma is inescapable.
|Keywords||Dialetheism Logic Liar Paradox Logical Paradoxes Contradiction Negation|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
J. C. Beall (ed.) (2007). Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Greg Littmann (2012). Dialetheism and the Graphic Liar. Canadian Journal of Philosophy 42 (1):15-27.
Joachim Bromand (2002). Why Paraconsistent Logic Can Only Tell Half the Truth. Mind 111 (444):741-749.
Jordan Howard Sobel, On the Storeyed Revenge of Strengthened Liars, and the Contrary Finality of No-Proposition Resolutions.
Dale Jacquette (2007). Denying The Liar. Polish Journal of Philosophy 1 (2):91-98.
B. Burgis (2011). Paracompleteness and Revenge. Analysis 71 (4):688-689.
Lionel Shapiro (2011). Expressibility and the Liar's Revenge. Australasian Journal of Philosophy 89 (2):297-314.
Graham Priest (2006). Doubt Truth to Be a Liar. Oxford University Press.
Wenfang Wang (2011). Against Classical Dialetheism. Frontiers of Philosophy in China 6 (3):492-500.
Manuel Bremer (2008). Kearns' Illocutionary Logic and the Liar. History and Philosophy of Logic 29 (3):223-225.
Kevin Scharp (2007). Alethic Vengeance. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Francesco Berto & Graham Priest (2008). Dialetheism. Stanford Encyclopedia of Philosophy (2008).
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.
Patrick Greenough (2011). Truthmaker Gaps and the No-No Paradox. Philosophy and Phenomenological Research 82 (3):547 - 563.
Added to index2012-02-18
Total downloads23 ( #86,944 of 1,679,436 )
Recent downloads (6 months)2 ( #111,626 of 1,679,436 )
How can I increase my downloads?