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March 2006 What is Tarski’s common concept of consequence?
Ignacio Jané
Bull. Symbolic Logic 12(1): 1-42 (March 2006). DOI: 10.2178/bsl/1140640942

Abstract

In 1936 Tarski sketched a rigorous definition of the concept of logical consequence which, he claimed, agreed quite well with common usage—or, as he also said, with the common concept of consequence. Commentators of Tarski’s paper have usually been elusive as to what this common concept is. However, being clear on this issue is important to decide whether Tarski’s definition failed (as Etchemendy has contended) or succeeded (as most commentators maintain). I argue that the common concept of consequence that Tarski tried to characterize is not some general, all-purpose notion of consequence, but a rather precise one, namely the concept of consequence at play in axiomatics. I identify this concept and show that Tarski’s definition is fully adequate to it.

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Ignacio Jané. "What is Tarski’s common concept of consequence?." Bull. Symbolic Logic 12 (1) 1 - 42, March 2006. https://doi.org/10.2178/bsl/1140640942

Information

Published: March 2006
First available in Project Euclid: 22 February 2006

zbMATH: 1105.03003
MathSciNet: MR2209328
Digital Object Identifier: 10.2178/bsl/1140640942

Rights: Copyright © 2006 Association for Symbolic Logic

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Vol.12 • No. 1 • March 2006
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