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General information in relevant logic
Authors:Edwin D. Mares
Affiliation:(1) School of History, Philosophy, Political Science and International Relations, Faculty of Humanities and Social Sciences, Victoria University of Wellington, P.O. Box 600, Wellington, New Zealand
Abstract:This paper sets out a philosophical interpretation of the model theory of Mares and Goldblatt (The Journal of Symbolic Logic 71, 2006). This interpretation distinguishes between truth conditions and information conditions. Whereas the usual Tarskian truth condition holds for universally quantified statements, their information condition is quite different. The information condition utilizes general propositions. The present paper gives a philosophical explanation of general propositions and argues that these are needed to give an adequate theory of general information.
Keywords:Information  Relevant logic  Non-classical logic  Quantification
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