Tarski on Logical Consequence

Notre Dame Journal of Formal Logic 37 (1):125-151 (1996)
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Abstract

This paper examines from a historical perspective Tarski's 1936 essay, "On the concept of logical consequence." I focus on two main aims. The primary aim is to show how Tarski's definition of logical consequence satisfies two desiderata he himself sets forth for it: (1) it must declare logically correct certain formalizations of the -rule and (2) it must allow for variation of the individual domain in the test for logical consequence. My arguments provide a refutation of some interpreters of Tarski, and notably John Etchemendy, who have claimed that his definition does not satisfy those desiderata. A secondary aim of the paper is to offer some basic elements for an understanding of Tarski's definition in the historical logico-philosophical context in which it was proposed. Such historical understanding provides useful insights on Tarski's informal ideas on logical consequence and their internal cohesion

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Mario Gomez-Torrente
National Autonomous University of Mexico

Citations of this work

Model theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.
Logical Consequence.J. C. Beall, Greg Restall & Gil Sagi - 2019 - Stanford Encyclopedia of Philosophy.
On the Concept of Following Logically.Alfred Tarski - 2002 - History and Philosophy of Logic 23 (3):155-196.
Alfred Tarski: Philosophy of Language and Logic.Douglas Patterson - 2012 - Basingstoke and London, UK: Palgrave-Macmillan.

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References found in this work

What are logical notions?Alfred Tarski - 1986 - History and Philosophy of Logic 7 (2):143-154.
Tarski on truth and logical consequence.John Etchemendy - 1988 - Journal of Symbolic Logic 53 (1):51-79.
Intellectual Autobiography.Rudolf Carnap & Paul Arthur Schilpp - 1971 - Journal of Symbolic Logic 36 (1):178-179.
Truth in a Structure.Wilfrid Hodges - 1986 - Proceedings of the Aristotelian Society 86:135 - 151.

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