Truth, Dependence and Supervaluation: Living with the Ghost

Journal of Philosophical Logic 42 (2):221-240 (2013)
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Abstract

In J Philos Logic 34:155–192, 2005, Leitgeb provides a theory of truth which is based on a theory of semantic dependence. We argue here that the conceptual thrust of this approach provides us with the best way of dealing with semantic paradoxes in a manner that is acceptable to a classical logician. However, in investigating a problem that was raised at the end of J Philos Logic 34:155–192, 2005, we discover that something is missing from Leitgeb’s original definition. Moreover, we show that once the appropriate repairs have been made, the resultant definition is equivalent to a version of the supervaluation definition suggested in J Philos 72:690–716, 1975 and discussed in detail in J Symb Log 51(3):663–681, 1986. The upshot of this is a philosophical justification for the simple supervaluation approach and fresh insight into its workings

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Toby Meadows
University of California, Irvine

Citations of this work

A graph-theoretic analysis of the semantic paradoxes.Timo Beringer & Thomas Schindler - 2017 - Bulletin of Symbolic Logic 23 (4):442-492.
Revision Without Revision Sequences: Self-Referential Truth.Edoardo Rivello - 2019 - Journal of Philosophical Logic 48 (3):523-551.
Axioms for grounded truth.Thomas Schindler - 2014 - Review of Symbolic Logic 7 (1):73-83.
Revision Without Revision Sequences: Circular Definitions.Edoardo Rivello - 2019 - Journal of Philosophical Logic 48 (1):57-85.

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References found in this work

Saving truth from paradox.Hartry H. Field - 2008 - New York: Oxford University Press.
Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Reflecting on incompleteness.Solomon Feferman - 1991 - Journal of Symbolic Logic 56 (1):1-49.

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