David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Bulletin of Symbolic Logic 12 (1):1-42 (2006)
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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Citations of this work BETA
Iris Loeb (2014). Uniting Model Theory and the Universalist Tradition of Logic: Carnap's Early Axiomatics. Synthese 191 (12):2815-2833.
Mario Gómez-Torrente (2009). Rereading Tarski on Logical Consequence. Review of Symbolic Logic 2 (2):249-297.
Jose Saguillo (2009). Methodological Practice and Complementary Concepts of Logical Consequence: Tarski's Model-Theoretic Consequence and Corcoran's Information-Theoretic Consequence. History and Philosophy of Logic 30 (1):21-48.
Robert Barnard & Joseph Ulatowski (forthcoming). Tarski’s 1944 Polemical Remarks and Naess’ “Experimental Philosophy". Erkenntnis:1-21.
Iris Loeb (forthcoming). The Role of Universal Language in the Early Work of Carnap and Tarski. Synthese:1-17.
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