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Nonmonotonic Logic

In Lou Goble (ed.), The Blackwell Guide to Philosophical Logic. Malden, Mass.: Wiley-Blackwell. pp. 336–361 (2001)

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  1. Abstract rationality: the ‘logical’ structure of attitudes.Franz Dietrich, Antonios Staras & Robert Sugden - 2024 - Economics and Philosophy 40 (1):12-41.
    We present an abstract model of rationality that focuses on structural properties of attitudes. Rationality requires coherence between your attitudes, such as your beliefs, values, and intentions. We define three 'logical' conditions on attitudes: consistency, completeness, and closedness. They parallel the familiar logical conditions on beliefs, but contrast with standard rationality conditions like preference transitivity. We establish a formal correspondence between our logical conditions and standard rationality conditions. Addressing John Broome's programme 'rationality through reasoning', we formally characterize how you can (...)
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  • The Reasoning View and Defeasible Practical Reasoning.Samuel Asarnow - 2017 - Philosophy and Phenomenological Research 95 (3):614-636.
    According to the Reasoning View about normative reasons, facts about normative reasons for action can be understood in terms of facts about the norms of practical reasoning. I argue that this view is subject to an overlooked class of counterexamples, familiar from debates about Subjectivist theories of normative reasons. Strikingly, the standard strategy Subjectivists have used to respond to this problem cannot be adapted to the Reasoning View. I think there is a solution to this problem, however. I argue that (...)
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  • Free of Detachment: Logic, Rationality, and Gluts.Jc Beall - 2013 - Noûs 49 (2):410-423.
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  • On the Quantitative Scalar or-Implicature.Leon Horsten - 2005 - Synthese 146 (1-2):111-127.
    . Two simple generalized conversational implicatures are investigated :(1) the quantitative scalar implicature associated with ‘or’, and (2) the ‘not-and’-implicature, which is the dual to (1). It is argued that it is more fruitful to consider these implicatures as rules of interpretation and to model them in an algebraic fashion than to consider them as nonmonotonic rules of inference and to model them in a proof-theoretic way.
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