Tarski on “essentially richer” metalanguages

Journal of Philosophical Logic 28 (1):1-28 (1999)
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Abstract

It is well known that Tarski proved a result which can be stated roughly as: no sufficiently rich, consistent, classical language can contain its own truth definition. Tarski's way around this problem is to deal with two languages at a time, an object language for which we are defining truth and a metalanguage in which the definition occurs. An obvious question then is: under what conditions can we construct a definition of truth for a given object language. Tarski claims that it is necessary and sufficient that the metalanguage be "essentially richer". Our contention, put bluntly, is that this claim deserves more scrutiny from philosophers than it usually gets and in fact is false unless "essentially richer" means nothing else than "sufficient to contain a truth definition for the object language."

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David DeVidi
University of Waterloo

Citations of this work

Truth, Revenge, and Internalizability.Kevin Scharp - 2014 - Erkenntnis 79 (S3):597-645.
Tarski and Primitivism About Truth.Jamin Asay - 2013 - Philosophers' Imprint 13:1-18.
On the Matter of Essential Richness.Greg Ray - 2005 - Journal of Philosophical Logic 34 (4):433-457.

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References found in this work

The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
Undecidable theories.Alfred Tarski - 1953 - Amsterdam,: North-Holland Pub. Co.. Edited by Andrzej Mostowski & Raphael M. Robinson.

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