Theories of truth without standard models and Yablo's sequences

Studia Logica 96 (3):375-391 (2010)
Abstract
The aim of this paper is to show that it’s not a good idea to have a theory of truth that is consistent but ω -inconsistent. In order to bring out this point, it is useful to consider a particular case: Yablo’s Paradox. In theories of truth without standard models, the introduction of the truth-predicate to a first order theory does not maintain the standard ontology. Firstly, I exhibit some conceptual problems that follow from so introducing it. Secondly, I show that in second order theories with standard semantics the same procedure yields a theory that doesn’t have models. So, while having an ω - inconsistent theory is a bad thing, having an unsatisfiable theory of truth is actually worse. This casts doubts on whether the predicate in question is, after all, a truthpredicate for that language. Finally, I present some alternatives to prove an inconsistency adding plausible principles to certain theories of truth
Keywords Truth  Yablo's Paradox  omega-inconsistency
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 10,612
External links
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
Solomon Feferman (1991). Reflecting on Incompleteness. Journal of Symbolic Logic 56 (1):1-49.
Volker Halbach, Axiomatic Theories of Truth. Stanford Encyclopedia of Philosophy.

View all 17 references

Citations of this work BETA

No citations found.

Similar books and articles
Volker Halbach, Axiomatic Theories of Truth. Stanford Encyclopedia of Philosophy.
Nic Damnjanovic (2010). New Wave Deflationism. In Cory D. Wright & Nikolaj J. L. L. Pedersen (eds.), New Waves in Truth. Palgrave Macmillan. 45--58.
Analytics

Monthly downloads

Added to index

2010-12-08

Total downloads

36 ( #46,782 of 1,098,414 )

Recent downloads (6 months)

4 ( #78,747 of 1,098,414 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.