Judgment and consequence relations

Journal of Applied Non-Classical Logics 20 (4):423-435 (2010)
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Abstract

In this paper I argue that a variety of consequence relations can be subsumed under a common core. The reduction proceeds by taking the unconditional consequence, or judgment, as basic and deriving the conditional consequence via a uniform abstraction scheme. A specific outcome is that it is better not to base such a scheme on the semantic notion of a matrix and valuation but rather on theories and substitutions. I will also briefly look at consequence relations that are not reducible in this way.

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Citations of this work

Unified Deductive Systems: An Outline.Alex Citkin - 2023 - Logica Universalis 17 (4):483-509.
A meta-logic of inference rules: Syntax.Alex Citkin - 2015 - Logic and Logical Philosophy 24 (3).

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References found in this work

Theory of Logical Calculi: Basic Theory of Consequence Operations.Ryszard Wójcicki - 1988 - Dordrecht, Boston and London: Kluwer Academic Publishers.
Adding a temporal dimension to a logic system.Marcelo Finger & Dov M. Gabbay - 1992 - Journal of Logic, Language and Information 1 (3):203-233.
Klassische und nichtklassische Aussagenlogik.Wolfgang Rautenberg - 1980 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 11 (2):405-407.

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