Replacements for Truth
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
An inconsistency approach to the liar and related paradoxes takes the non-logical principles involved in the derivation of the paradoxes to be constitutive of our concept of truth. That is, it is our very competence with the concept of truth that leads us to accept the non-logical premises or inferences involved in the derivation. One who endorses an approach of this type should not be content to diagnose the problem; rather, such a theorist should propose a way of changing our conceptual scheme by introducing new concepts that do the work we ask of truth without giving rise to paradoxes. I offer a pair of concepts, ascending truth and descending truth, for this purpose. Here, I present a formal theory of ascending and descending truth (ADT), explore some of its features, and propose a semantics for it. I show how ADT avoids the liar paradox, Curry’s paradox, and Yablo’s paradox. Moreover, ADT is consistent, fully compatible with classical logic, and does not require any kind of expressive limitation, so it does not give rise to any revenge paradoxes. Finally, I compare ADT to some other views in the literature.
|Keywords||No keywords specified (fix it)|
|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
Kevin Scharp (2007). Alethic Vengeance. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Kevin Scharp (2007). Replacing Truth. Inquiry 50 (6):606 – 621.
Kevin Scharp (2013). Truth, the Liar, and Relativism. Philosophical Review 122 (3):427-510.
Keith Simmons (1993). Universality and the Liar: An Essay on Truth and the Diagonal Argument. Cambridge University Press.
Peter Eldridge-Smith (2007). Paradoxes and Hypodoxes of Time Travel. In Jan Lloyd Jones, Paul Campbell & Peter Wylie (eds.), Art and Time. Australian Scholarly Publishing. 172--189.
Alexandre Billon (2011). My Own Truth ---Pathologies of Self-Reference and Relative Truth. In Rahman Shahid, Primiero Giuseppe & Marion Mathieu (eds.), Logic, Epistemology, and the Unity of Science, Vol. 23. springer.
Greg Restall (2007). Curry's Revenge: The Costs of Non-Classical Solutions to the Paradoxes of Self-Reference. In J. C. Beall (ed.), Revenge of the Liar: New Essays on the Paradox. Oxford University Press.
Hartry Field (2005). Variations on a Theme by Yablo. In J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox. Clarendon Press.
Stephen Read (2006). Symmetry and Paradox. History and Philosophy of Logic 27 (4):307-318.
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.
Jeff Snapper (2012). The Liar Paradox in New Clothes. Analysis 72 (2):319-322.
Noriaki Iwasa (2011). That Truth Exists is More Logical. Think 10 (27):109-112.
Added to index2010-10-31
Total downloads19 ( #92,281 of 1,099,670 )
Recent downloads (6 months)1 ( #301,057 of 1,099,670 )
How can I increase my downloads?