Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-24T05:02:56.059Z Has data issue: false hasContentIssue false

INDICATIVE CONDITIONALS, RESTRICTED QUANTIFICATION, AND NAIVE TRUTH

Published online by Cambridge University Press:  19 October 2015

Abstract

This paper extends Kripke’s theory of truth to a language with a variably strict conditional operator, of the kind that Stalnaker and others have used to represent ordinary indicative conditionals of English. It then shows how to combine this with a different and independently motivated conditional operator, to get a substantial logic of restricted quantification within naive truth theory.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2015 

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. (2009). Spandrels of Truth. Oxford: Oxford University Press.Google Scholar
Beall, J. C., Brady, R., Hazen, A., Priest, G., & Restall, G. (2006). Relevant Restricted Quantification. Journal of Philosophical Logic, 35, 587598.CrossRefGoogle Scholar
Burgess, J. (1981). Quick Completeness Proofs for some Logics of Conditionals. Notre Dame Journal of Formal Logic, 22, 7684.Google Scholar
Field, H. (2008). Saving Truth from Paradox. Oxford: Oxford University Press.CrossRefGoogle Scholar
Field, H. (2014). Naive Truth and Restricted quantification: Saving Truth a Whole Lot Better. Review of Symbolic Logic, 7, 147–91.Google Scholar
Gupta, A. and Belnap, N. (1993). The Revision Theory of Truth. Cambridge, MA: MIT Press.Google Scholar
Kripke, S. (1975). Outline of a Theory of Truth. Journal of Philosophy, 72, 690716.CrossRefGoogle Scholar
Lewis, D. (1974). Counterfactuals. Cambridge, MA: Harvard University Press.Google Scholar
McGee, V. (1985). A Counterexample to Modus Ponens. Journal of Philosophy, 82, 462–71.Google Scholar
Pollock, J. (1976). The Possible Worlds Analysis of Counterfactuals. Philosophical Studies, 29, 469–76.Google Scholar
Restall, G. (2007). Curry’s Revenge: The Costs of Non-Classical Solutions to the Paradoxes of Self-Reference. In Beall, J. C., editor. Revenge of the Liar , Oxford: Oxford University Press.Google Scholar
Stalnaker, R. (1968). A Theory of Conditionals. In Rescher, N., editor. Studies in Logical Theory , Oxford: Blackwell Publishers.Google Scholar
Yablo, S. (2003). New Grounds for Naive Truth Theory. In Beall, J. C., editor, Liars and Heaps, Oxford: Oxford University Press.Google Scholar