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CONSISTENCY AND THE THEORY OF TRUTH

Published online by Cambridge University Press:  11 February 2015

RICHARD G. HECK JR.
RICHARD G. HECK JR.*
Affiliation:
Department of Philosophy, Brown University
*
*DEPARTMENT OF PHILOSOPHY BROWN UNIVERSITY PROVIDENCE, RI 02912 E-mail: [email protected]
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Abstract

What is the logical strength of theories of truth? That is: If you take a theory ${\cal T}$ and add a theory of truth to it, how strong is the resulting theory, as compared to ${\cal T}$? Once the question has been properly formulated, the answer turns out to be about as elegant as one could want: At least when ${\cal T}$ is finitely axiomatized theory, theories of truth act more or less as a kind of abstract consistency statement. To prove this result, however, we have to formulate truth-theories somewhat differently from how they have been and instead follow Tarski in ‘disentangling’ syntactic theories from object theories.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 8 , Issue 3 , September 2015 , pp. 424 - 466
Copyright
Copyright © Association for Symbolic Logic 2015 

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