On the Semantic Definition of Logical Consequence

  • Kurt Wischin Universidad de Granada, España
Keywords: Etchemendy, Tarski’ Fallacy, Logical Consequence, Model Theory

Abstract

Model Theory generally assumes the definition of logical consequence proffered by Tarski in 1936. John Etchemendy (1990) suggests that Tarski’s definition contains a fallacy, from which an interesting controversy ensued about the definition and its meaning. The main points in discussion are summarized and it is suggested that the controversy is based on a misunderstanding of the intentions of Etchemendy’s criticism: the target is not so much Tarski’s definition, but that it offers an insufficient foundation for Model Theory.

Author Biography

Kurt Wischin, Universidad de Granada, España

Kurt Wischin is currently CPhil at the International School for Graduate Studies of the University of Granada. His first formational contact with academic philosophy occurred in Vienna during the 1970s. He obtained a BA in Philosophy at the Autonomous University and a MPhil at the Autonomous National University of Mexico. His work in philosophy takes as it starting point the philosophy of Wittgenstein, in particular as condensed in Philosophical Investigations. His current investigative activities are focussed on the foundational years of contemporary philosophy of logic and language, putting special emphasis on the development of Frege's doctrine and its influence on the formation of the Tractatus, as well as generally early analytical philosophy. He has published various articles and translations y some anthologies' and academic reviews.

References

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Burdman Feferman, Anita y Feferman, Solomon (2004), Alfred Tarski, Life and Logic. Cambridge University Press: Cambridge.

Etchemendy, John (1990), The Concept of Logical Consequence. Harvard University Press: Cambridge, Mass. and London, England.

Frege, Gottlob (2001), Schriften zur Logik und Sprachphilosophie. Aus dem Nachlass. Meiner: Hamburg.

Gómez Torrente, Mario (1996), «Tarski on logical consequence». Notre Dame Journal of Formal Logic 37: pp. 125-151.

Gómez Torrente, Mario (1998), «On a fallacy attributed to Tarski». History and Philosophy of Logic 19: pp. 227-234.

Gómez Torrente, Mario (2000), Forma y modalidad; una introducción al concepto de la consecuencia lógica. EUDEBA: Buenos Aires.

Gómez Torrente, Mario (2009), «Rereading Tarski on Logical Consequence». The Review of Symbolic Logic 2(2): pp. 249-297.

Sher, Gila (1991), The Bounds of Logic: A Generalized Viewpoint. MIT Press: Cambridge, Mass. and London.

Sher, Gila, 1996, «Did Tarski Commit “Tarski’s Fallacy”?». The Journal of Symbolic Logic 61(2): 653-686.

Tarski, Alfred (1966), Anhang «Wahrheit und Beweis». In: Einführung in die mathematische Logik. Vandenhoeck & Ruprecht; Göttingen; 5. Auflage 1977; pp. 244-275.

Tarski, Alfred (2002), «On the Concept of Following Logically»*. History and Philosophy of Logic 23(3): pp. 155-196.

*Traducción de artículos publicados originalmente en polaco («O pojęciu wynikania logicznego», Przegląd Filozoficzny 39, 1936, pp. 58-68) y en alemán («Über den Begriff der logischen Folgerung», en Actes du Congrès International de Philosophie Scientifique, Sorbonne, Paris, 1935 (Actualités Scientifiques et Industrielles 394) (VII, 1-11), Paris, Hermann,1936) y cotejados contra la traducción previa al inglés (Logic, Semantics, Metamathematics. Papers from 1923 to 1938, trans. J. H. Woodger, Oxford, Clarendon Press, 1956; 2a. edición, Indianapolis: Hackett, 1983) por Magda Stroińska y David Hitchcock. Un glosario sobre la traducción del
polaco al inglés y viceversa, vide: http://www.humanities.mcmaster.ca/~hitchckd/glossaries.htm
Published
2013-12-20
How to Cite
[1]
Wischin, K. 2013. On the Semantic Definition of Logical Consequence. Disputatio. 2, 3 (Dec. 2013), 111-136.
Section
Articles and Essays