David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Studia Logica 44 (4):389 - 403 (1985)
Contemporary historians of logic tend to credit Bernard Bolzano with the invention of the semantic notion, of consequence, a full century before Tarski. Nevertheless, Bolzano's work played no significant rôle in the genesis of modern logical semantics. The purpose of this paper is to point out three highly original, and still quite relevant themes in Bolzano's work, being a systematic study of possible types of inference, of consistency, as well as their meta-theory. There are certain analogies with Tarski's concerns here, although the main thrust seems to be different, both philosophically and technically. Thus, if only obliquely, we also provide some additional historical perspective on Tarski's achievement.
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Jan Berg (1962). Bolzano's Logic. Stockholm, Almqvist & Wiksell.
B. Bolzano (2001). Wissenschaftslehre. Revue de Metaphysique Et de Morale 2:134-136.
Ian Mason (1985). The Metatheory of the Classical Propositional Calculus is Not Axiomatizable. Journal of Symbolic Logic 50 (2):451-457.
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Citations of this work BETA
Johan van Benthem (2008). The Many Faces of Interpolation. Synthese 164 (3):451-460.
Johan Van Benthem (2008). The Many Faces of Interpolation. Synthese 164 (3):451 - 460.
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