Unifying the Philosophy of Truth pp 263-280 | Cite as
Norms for Theories of Reflexive Truth
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Abstract
In the past two decades we have witnessed a shift to axiomatic theories of truth. But in this tradition there has been a proliferation of truth theories. In this article we carry out a meta-theoretical reflection on the conditions that we should want axiomatic truth theories to satisfy.
Keywords
Norms Axiomatic theory Reflexive truth Disquotation CompositionalityReferences
- Boolos, G. (1971). The iterative conception of set. Journal of Philosophy, 68, 215–231.CrossRefGoogle Scholar
- Burgess, A. G., & Burgess, J. P. (2011). Truth. Princeton: Princeton Foundations of Contemporary Philosophy. Princeton University Press.Google Scholar
- Burgess, J. P. (2009). Friedman and the axiomatization of Kripke’s theory of truth. Ohio State, 2009. paper delivered at the Ohio State University conference in honor of the 60th birthday of Harvey Friedman.Google Scholar
- Cieśliński, C. (2007). Deflationism, conservativeness and maximality. Journal of Philosophical Logic, 36, 695–705.CrossRefGoogle Scholar
- Feferman, S. (1984). Towards useful type-free theories I. Journal of Symbolic Logic, 49, 75–111.CrossRefGoogle Scholar
- Feferman, S. (1991). Reflecting on incompleteness. Journal of Symbolic Logic, 56, 1–49.CrossRefGoogle Scholar
- Field, H. (2008). Saving truth from paradox. Oxford: Oxford University Press.CrossRefGoogle Scholar
- Friedman, H. & Sheard, M. (1987). An axiomatic approach to self-referential truth. Annals of Pure and Applied Logic, 33, 1–21.Google Scholar
- Fujimoto, K. (2012). Classes and truths in set theory. Annals of Pure and Applied Logic (to appear).Google Scholar
- Halbach, V. (1994). A system of complete and consistent truth. Notre Dame Journal of Formal Logic, 35, 311–327.CrossRefGoogle Scholar
- Halbach, V. (1995). Tarski-hierarchies. Erkenntnis, 43, 339–367.CrossRefGoogle Scholar
- Halbach, V. (1999). Disquotationalism and infinite conjunctions. Mind, 108, 1–22.CrossRefGoogle Scholar
- Halbach, V. (2006). How not to state the T-sentences. Analysis, 66, 276–280 (Correction of printing error in vol. 67, 268).CrossRefGoogle Scholar
- Halbach, V. (2011). Axiomatic theories of truth. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
- Halbach, V., & Horsten, L. (2006). Axiomatizing Kripke’s theory of truth. Journal of Symbolic Logic, 71, 677–712.CrossRefGoogle Scholar
- Horsten, L. (2011). The Tarskian turn: Deflationism and axiomatic truth. Cambridge: MIT Press.CrossRefGoogle Scholar
- Kripke, S. (1975). Outline of a theory of truth. Journal of Philosophy, 72, 690–712 (reprinted in 1984).CrossRefGoogle Scholar
- Leitgeb, H. (2007). What theories of truth should be like (but cannot be). In Blackwell Philosophy Compass 2/2, pages 276–290. Blackwell, 2007.Google Scholar
- Martin, R. L. (ed.).(1984). Recent essays on truth and the liar paradox. Oxford, New York: Clarendon Press, Oxford University Press.Google Scholar
- McGee, V. (1985). How truthlike can a predicate be? A negative result. Journal of Philosophical Logic, 14, 399–410.CrossRefGoogle Scholar
- McGee, V. (1992). Maximal consistent sets of instances of Tarski’s schema (T). Journal of Philosophical Logic, 21, 235–241.CrossRefGoogle Scholar
- Sheard, M. (1994). A guide to truth predicates in the modern era. Journal of Symbolic Logic, 59, 1032–1054.CrossRefGoogle Scholar
- Sheard, M. (2002). Truth, probability, and naive criteria. In V. Halbach & L. Horsten (ed.), Principles of truth. Frankfurt a. M.: Dr. Hänsel-Hohenhausen.Google Scholar
- Terzian, G. (2012). Uncovering the norms of truth. A meta-theoretic inquiry. PhD thesis, University of Bristol.Google Scholar
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