General patterns for nonmonotonic reasoning: from basic entailments to plausible relations

Logic Journal of the IGPL 8 (2):119-148 (2000)
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Abstract

This paper has two goals. First, we develop frameworks for logical systems which are able to reflect not only non-monotonic patterns of reasoning, but also paraconsistent reasoning. Our second goal is to have a better understanding of the conditions that a useful relation for nonmonotonic reasoning should satisfy. For this we consider a sequence of generalizations of the pioneering works of Gabbay, Kraus, Lehmann, Magidor and Makinson. These generalizations allow the use of monotonic nonclassical logics as the underlying logic upon which nonmonotonic reasoning may be based. Our sequence of frameworks culminates in what we call plausible, nonmonotonic, multiple-conclusion consequences relations . Our study yields intuitive justifications for conditions that have been proposed in previous frameworks and also clarifies the connections among some of these systems. In addition, we present a general method for constructing plausible nonmonotonic relations. This method is based on a multiple-valued semantics, and on Shoham's idea of preferential models

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Arnon Avron
Tel Aviv University

Citations of this work

Non-monotonic logic.G. Aldo Antonelli - 2008 - Stanford Encyclopedia of Philosophy.
Must Good Reasoning Satisfy Cumulative Transitivity?Shyam Nair - 2017 - Philosophy and Phenomenological Research 98 (1):123-146.
Choosing Your Nonmonotonic Logic: A Shopper’s Guide.Ulf Hlobil - 2018 - In Pavel Arazim & Tomáš Lávička (eds.), The Logica Yearbook 2017. London: College Publications. pp. 109-123.
Adaptively applying modus ponens in conditional logics of normality.Christian Straßer - 2012 - Journal of Applied Non-Classical Logics 22 (1):125-148.

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