Hostname: page-component-8448b6f56d-dnltx Total loading time: 0 Render date: 2024-04-23T11:33:27.165Z Has data issue: false hasContentIssue false

TRUTH, LOGICAL VALIDITY AND DETERMINATENESS: A COMMENTARY ON FIELD’S SAVING TRUTH FROM PARADOX

Published online by Cambridge University Press:  10 October 2011

P. D. WELCH*
Affiliation:
University of Bristol, England
*
*DEPARTMENT OF MATHEMATICS, UNIVERSITY OF BRISTOL, BRISTOL, UNITED KINGDOM

Abstract

We consider notions of truth and logical validity defined in various recent constructions of Hartry Field. We try to explicate his notion of determinate truth by clarifying the path-dependent hierarchies of his determinateness operator.

Type
Author meets his critics Forum
Copyright
Copyright © Association for Symbolic Logic 2011

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

Beall, J. C. (2007). Revenge of the Liar. Oxford, UK: Oxford University Press.CrossRefGoogle Scholar
Field, H. (2003). A revenge-immune solution to the semantic paradoxes. Journal of Philosophical Logic, 32(3), 139177.CrossRefGoogle Scholar
Field, H. (2004). The consistency of the naive theory of properties. Philosophical Quarterly, 54, 78104.CrossRefGoogle Scholar
Field, H. (2008a). Saving Truth from Paradox. Oxford, UK: Oxford University Press.CrossRefGoogle Scholar
Field, H. (2008b). Solving the paradoxes, escaping revenge. In Beall, J. C., editor. The Revenge of the Liar. Oxford, UK: Oxford University Press.Google Scholar
Friedman, S. D., & Welch, P. D. (2011). Hypermachines. Journal of Symbolic Logic 76(2), 17.CrossRefGoogle Scholar
Gupta, A., & Belnap, N. (1993). The Revision Theory of Truth. Cambridge, MA: MIT Press.CrossRefGoogle Scholar
Halbach, V., & Horsten, L. (2006). Axiomatising Kripke’s Theory of Truth. Journal of Symbolic Logic, 71(1), 677712.CrossRefGoogle Scholar
Herzberger, H. G. (1982a). Naive semantics and the Liar paradox. Journal of Philosophy, 79, 479497.CrossRefGoogle Scholar
Herzberger, H. G. (1982b). Notes on naive semantics. Journal of Philosophical Logic, 11, 61102.CrossRefGoogle Scholar
Kripke, S. (1975). Outline of a theory of truth. Journal of Philosophy, 72, 690716.CrossRefGoogle Scholar
Leitgeb, H. (2007). On the metatheory of Field’s “Solving the Paradoxes, escaping revenge.” In Beall, J. C., editor. Revenge of the Liar, pp. 159183. Oxford, UK: Oxford University Press.CrossRefGoogle Scholar
Rayo, A., & Welch, P. D. (2007). Field on revenge. In Beall, J. C., editor. Revenge of the Liar, pp. 234249. Oxford, UK: Oxford University Press.CrossRefGoogle Scholar
Welch, P. D. (2008). Ultimate truth vis à vis stable truth. Review of Symbolic Logic, 1(1), 126142.CrossRefGoogle Scholar
Welch, P. D. (2009). Games for truth. Bulletin of Symbolic Logic, 15(4), 410427.CrossRefGoogle Scholar