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  1. Sequent-based logical argumentation.Ofer Arieli & Christian Straßer - 2015 - Argument and Computation 6 (1):73-99.
    We introduce a general approach for representing and reasoning with argumentation-based systems. In our framework arguments are represented by Gentzen-style sequents, attacks between arguments are represented by sequent elimination rules, and deductions are made according to Dung-style skeptical or credulous semantics. This framework accommodates different languages and logics in which arguments may be represented, allows for a flexible and simple way of expressing and identifying arguments, supports a variety of attack relations, and is faithful to standard methods of drawing conclusions (...)
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  • Modular Semantics for Theories: An Approach to Paraconsistent Reasoning.Holger Andreas - 2018 - Journal of Philosophical Logic 47 (5):877-912.
    Some scientific theories are inconsistent, yet non-trivial and meaningful. How is that possible? The present paper aims to show that we can analyse the inferential use of such theories in terms of consistent compositions of the applications of universal axioms. This technique will be represented by a preferred models semantics, which allows us to accept the instances of universal axioms selectively. For such a semantics to be developed, the framework of partial structures by da Costa and French will be extended (...)
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  • An analysis of disposition concepts by the Ramsey test.Holger Andreas - 2020 - Synthese 198 (12):11379-11397.
    This is an essay on the understanding of disposition concepts, which exploits the Ramsey test semantics of conditionals for a refined conditional analysis of dispositions. I will show that this semantics allows for a more accurate account of disposition concepts than the standard semantics of conditionals by David Lewis. This includes dealing with the counterexamples to the conditional analysis, which are known as finks, antidotes, and mimics.
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  • Handling Inconsistencies in the Early Calculus: An Adaptive Logic for the Design of Chunk and Permeate Structures.Jesse Heyninck, Peter Verdée & Albrecht Heeffer - 2018 - Journal of Philosophical Logic 47 (3):481-511.
    The early calculus is a popular example of an inconsistent but fruitful scientific theory. This paper is concerned with the formalisation of reasoning processes based on this inconsistent theory. First it is shown how a formal reconstruction in terms of a sub-classical negation leads to triviality. This is followed by the evaluation of the chunk and permeate mechanism proposed by Brown and Priest in, 379–388, 2004) to obtain a non-trivial formalisation of the early infinitesimal calculus. Different shortcomings of this application (...)
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  • Concerning Peter Vickers’s Recent Treatment of ‘Paraconsistencitis’.Dunja Šešelja & Christian Straßer - 2014 - International Studies in the Philosophy of Science 28 (3):325-340.
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  • Non-monotonic logic.G. Aldo Antonelli - 2008 - Stanford Encyclopedia of Philosophy.
    The term "non-monotonic logic" covers a family of formal frameworks devised to capture and represent defeasible inference , i.e., that kind of inference of everyday life in which reasoners draw conclusions tentatively, reserving the right to retract them in the light of further information. Such inferences are called "non-monotonic" because the set of conclusions warranted on the basis of a given knowledge base does not increase (in fact, it can shrink) with the size of the knowledge base itself. This is (...)
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  • Forms and Norms of Indecision in Argumentation Theory.Daniela Schuster - 2021 - Deontic Logic and Normative Systems, 15th International Conference, DEON 2020/2021.
    One main goal of argumentation theory is to evaluate arguments and to determine whether they should be accepted or rejected. When there is no clear answer, a third option, being undecided, has to be taken into account. Indecision is often not considered explicitly, but rather taken to be a collection of all unclear or troubling cases. However, current philosophy makes a strong point for taking indecision itself to be a proper object of consideration. This paper aims at revealing parallels between (...)
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  • Moral Principles: Hedged, Contributory, Mixed.Aleks Knoks - 2021 - In Deontic Logic and Normative Systems 2020/21.
    It's natural to think that the principles expressed by the statements "Promises ought to be kept" and "We ought to help those in need" are defeasible. But how are we to make sense of this defeasibility? On one proposal, moral principles have hedges or built-in unless clauses specifying the conditions under which the principle doesn't apply. On another, such principles are contributory and, thus, do not specify which actions ought to be carried out, but only what counts in favor or (...)
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  • Hard and Soft Logical Information.Allo Patrick - 2017 - Journal of Logic and Computation:1-20.
    In this paper I use the distinction between hard and soft information from the dynamic epistemic logic tradition to extend prior work on informational conceptions of logic to include non-monotonic consequence-relations. In particular, I defend the claim that at least some non-monotonic logics can be understood on the basis of soft or “belief-like” logical information, and thereby question the orthodox view that all logical information is hard, “knowledge-like”, information.
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