Consistency and the theory of truth

Review of Symbolic Logic 8 (3):424-466 (2015)

Richard Kimberly Heck
Brown University
This paper attempts to address the question what logical strength theories of truth have by considering such questions as: If you take a theory T and add a theory of truth to it, how strong is the resulting theory, as compared to T? Once the question has been properly formulated, the answer turns out to be about as elegant as one could want: Adding a theory of truth to a finitely axiomatized theory T is more or less equivalent to a kind of abstract consistency statement. A large part of the interest of the paper lies in the way syntactic theories are 'disentangled' from object theories.
Keywords truth  consistency  tarski
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DOI 10.1017/s1755020314000549
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References found in this work BETA

Axiomatic Theories of Truth.Volker Halbach - 2011 - Cambridge University Press.
The Semantic Conception of Truth and the Foundations of Semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
Fixing Frege.John P. Burgess - 2006 - Tijdschrift Voor Filosofie 68 (3):665-665.
Meaning and Truth-Conditions.Richard Heck - 2007 - In D. Greimann & G. Siegwart (eds.), Truth and Speech Acts: Studies in the Philosophy of Language. Routledge. pp. 349--76.
On the Scheme of Induction for Bounded Arithmetic Formulas.A. J. Wilkie & J. B. Paris - 1987 - Annals of Pure and Applied Logic 35 (3):261-302.

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Citations of this work BETA

Equivalences for Truth Predicates.Carlo Nicolai - 2017 - Review of Symbolic Logic 10 (2):322-356.

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