Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-19T20:26:01.687Z Has data issue: false hasContentIssue false
  • English
  • Français

INEFFABILITY AND REVENGE

Published online by Cambridge University Press:  27 December 2018

CHRIS SCAMBLER
CHRIS SCAMBLER*
Affiliation:
Department of Philosophy, New York University
*
* DEPARTMENT OF PHILOSOPHY NEW YORK UNIVERSITY NEW YORK CITY, NY 10003, USA E-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

In recent work Philip Welch has proven the existence of ‘ineffable liars’ for Hartry Field’s theory of truth. These are offered as liar-like sentences that escape classification in Field’s transfinite hierarchy of determinateness operators. In this article I present a slightly more general characterization of the ineffability phenomenon, and discuss its philosophical significance. I show the ineffable sentences to be less ‘liar-like’ than they appear in Welch’s presentation. I also point to some open technical problems whose resolution would greatly clarify the philosophical issues raised by the ineffability phenomenon.

Keywords

03A99paradoxesrevenge paradoxesnon-classical logicsaving truth from paradox
Type
Research Article
Information
The Review of Symbolic Logic , Volume 13 , Issue 4 , December 2020 , pp. 797 - 809
Check for updates
Copyright
Copyright © Association for Symbolic Logic 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

BIBLIOGRAPHY

Barwise, J. (1975). Admissible Sets and Structures: An Approach to Definability Theory. Berlin: Springer-Verlag.10.1007/978-3-662-11035-5CrossRefGoogle Scholar
Field, H. (2003). A revenge-immune solution to the semantic paradoxes. Journal of Philosophical Logic, 32(2), 139–177.10.1023/A:1023027808400CrossRefGoogle Scholar
Field, H. (2007). Solving the paradoxes, escaping revenge. In Beall, J. C., editor. Revenge of the Liar: New Essays on the Paradox. Oxford: Oxford University Press, pp. 53–144.Google Scholar
Field, H. (2008). Saving Truth from Paradox. Oxford University Press.CrossRefGoogle Scholar
Kripke, S. (1975). Outline of a theory of truth. Journal of Philosophy, 72(19), 690–716.10.2307/2024634CrossRefGoogle Scholar
Moschovakis, Y. (1974). Elementary Induction on Abstract Structures. Dover Publications.Google Scholar
Welch, P. (2008). Ultimate truth vis a vis stable truth. Review of Symbolic Logic, 1(1), 126–142.10.1017/S1755020308080118CrossRefGoogle Scholar
Welch, P. (2011). Truth, logical validity and determinateness: A commentary on saving truth from paradox. Review of Symbolic Logic, 4(3), 348–359.10.1017/S1755020311000049CrossRefGoogle Scholar
Welch, P. (2014). Some observations on truth hierarchies. Review of Symbolic Logic, 7(1), 1–30.10.1017/S1755020313000361CrossRefGoogle Scholar
Welch, P. (2019). Some observations on truth hierarchies: A correction. Review of Symbolic Logic, doi:10.1017/S1755020319000042.CrossRefGoogle Scholar