## Notre Dame Journal of Formal Logic

### Tarski on Logical Consequence

Mario Gómez-Torrente

#### 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 $\omega$-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.

#### Article information

Source
Notre Dame J. Formal Logic, Volume 37, Number 1 (1996), 125-151.

Dates
First available in Project Euclid: 16 December 2002

https://projecteuclid.org/euclid.ndjfl/1040067321

Digital Object Identifier
doi:10.1305/ndjfl/1040067321

Mathematical Reviews number (MathSciNet)
MR1379554

Zentralblatt MATH identifier
1186.03010

#### Citation

Gómez-Torrente, Mario. Tarski on Logical Consequence. Notre Dame J. Formal Logic 37 (1996), no. 1, 125--151. doi:10.1305/ndjfl/1040067321. https://projecteuclid.org/euclid.ndjfl/1040067321

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