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Hypothetical reasoning

Amsterdam,: North-Holland Pub. Co. (1964)

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  1. Degrees all the way down: Beliefs, non-beliefs and disbeliefs.Hans Rott - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer. pp. 301--339.
    This paper combines various structures representing degrees of belief, degrees of disbelief, and degrees of non-belief (degrees of expectations) into a unified whole. The representation uses relations of comparative necessity and possibility, as well as non-probabilistic functions assigning numerical values of necessity and possibility. We define all-encompassing necessity structures which have weak expectations (mere hypotheses, guesses, conjectures, etc.) occupying the lowest ranks and very strong, ineradicable ('a priori') beliefs occupying the highest ranks. Structurally, there are no differences from the top (...)
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  • A Survey of Ranking Theory.Wolfgang Spohn - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer.
    "A Survey of Ranking Theory": The paper gives an up-to-date survey of ranking theory. It carefully explains the basics. It elaborates on the ranking theoretic explication of reasons and their balance. It explains the dynamics of belief statable in ranking terms and indicates how the ranks can thereby be measured. It suggests how the theory of Bayesian nets can be carried over to ranking theory. It indicates what it might mean to objectify ranks. It discusses the formal and the philosophical (...)
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  • Non-additive degrees of belief.Rolf Haenni - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer. pp. 121--159.
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  • Dynamic Tractable Reasoning: A Modular Approach to Belief Revision.Holger Andreas - 2020 - Cham, Schweiz: Springer.
    This book aims to lay bare the logical foundations of tractable reasoning. It draws on Marvin Minsky's seminal work on frames, which has been highly influential in computer science and, to a lesser extent, in cognitive science. Only very few people have explored ideas about frames in logic, which is why the investigation in this book breaks new ground. The apparent intractability of dynamic, inferential reasoning is an unsolved problem in both cognitive science and logic-oriented artificial intelligence. By means of (...)
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  • Making Counterfactual Assumptions.Frank Veltman - 2005 - Journal of Semantics 22 (2):159-180.
    This paper provides an update semantics for counterfactual conditionals. It does so by giving a dynamic twist to the ‘Premise Semantics’ for counterfactuals developed in Veltman (1976) and Kratzer (1981). It also offers an alternative solution to the problems with naive Premise Semantics discussed by Angelika Kratzer in ‘Lumps of Thought’ (Kratzer, 1989). Such an alternative is called for given the triviality results presented in Kanazawa et al. (2005, this issue).
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  • Idealisierte erklärungen.Manfred Tietzel - 1986 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 17 (2):315-321.
    Idealized explanations are the one subtype of incomplete explanations which is most frequently used in the empirical sciences and at the same time least analyzed in philosphy of science. It is argued that idealized explanations, while having the same logical structure as adequate explanations, differ from these in the mode of validity of the argument. Whereas an adequate explanation shows why the occurrence of some event had to be expected, an idealized explanation argues that a certain event would occur if (...)
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  • On the Treatment of Incomparability in Ordering Semantics and Premise Semantics.Eric Swanson - 2011 - Journal of Philosophical Logic 40 (6):693-713.
    In his original semantics for counterfactuals, David Lewis presupposed that the ordering of worlds relevant to the evaluation of a counterfactual admitted no incomparability between worlds. He later came to abandon this assumption. But the approach to incomparability he endorsed makes counterintuitive predictions about a class of examples circumscribed in this paper. The same underlying problem is present in the theories of modals and conditionals developed by Bas van Fraassen, Frank Veltman, and Angelika Kratzer. I show how to reformulate all (...)
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  • A brief comparison of Pollock's defeasible reasoning and ranking functions.Wolfgang Spohn - 2002 - Synthese 131 (1):39-56.
    In this paper two theories of defeasible reasoning, Pollock's account and my theory of ranking functions, are compared, on a strategic level, since a strictly formal comparison would have been unfeasible. A brief summary of the accounts shows their basic difference: Pollock's is a strictly computational one, whereas ranking functions provide a regulative theory. Consequently, I argue that Pollock's theory is normatively defective, unable to provide a theoretical justification for its basic inference rules and thus an independent notion of admissible (...)
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  • Re: Power.S. Lee Seaton - 1972 - Philosophy of the Social Sciences 2 (1):309-315.
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  • Normative conflicts in legal reasoning.Giovanni Sartor - 1992 - Artificial Intelligence and Law 1 (2-3):209-235.
    This article proposes a formal analysis of a fundamental aspect of legal reasoning: dealing with normative conflicts. Firstly, examples are illustrated concerning the dynamics of legal systems, the application of rules and exceptions, and the semantic indeterminacy of legal sources. Then two approaches to cope with conflicting information are presented: the preferred theories of Brewka, and the belief change functions of Alchourrón, Gärdenfors, and Makinson. The relations between those approaches are closely examined, and some aspects of a model of reasoning (...)
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  • Modellings for belief change: Prioritization and entrenchment.Hans Rott - 1992 - Theoria 58 (1):21-57.
    We distinguish the set of explicit beliefs of a reasoner, his "belief base", from the beliefs that are merely implicit. Syntax-based belief change governed by the structure of the belief base and the ranking ("prioritization") of its elements is reconstructed with the help of an epistemic entrenchment relation in the style of Gärdenfors and Makinson. Though priorities are essentially different from entrenchments, distinguished relations of epistemic entrenchment may be obtained from prioritized belief bases by a number of different constructions. An (...)
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  • Hypothetical inference and category structure.Deborah Redding-Stewart & Russell Revlin - 1978 - Bulletin of the Psychonomic Society 12 (6):465-467.
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  • Case selection and causal inferences in qualitative comparative research.Thomas Plümper, Vera Troeger & Eric Neumayer - 2019 - PLoS ONE 14 (7).
    Traditionally, social scientists perceived causality as regularity. As a consequence, qualitative comparative case study research was regarded as unsuitable for drawing causal inferences since a few cases cannot establish regularity. The dominant perception of causality has changed, however. Nowadays, social scientists define and identify causality through the counterfactual effect of a treatment. This brings causal inference in qualitative comparative research back on the agenda since comparative case studies can identify counterfactual treatment effects. We argue that the validity of causal inferences (...)
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  • On knowledge evolution: acquisition, revision, contraction.Eliezer L. Lozinskii - 1997 - Journal of Applied Non-Classical Logics 7 (1-2):177-211.
    ABSTRACT We consider evolution of knowledge bases caused by a sequence of basic steps of acquisition of a new information, either consistent or inconsistent with the original system. To make this process comply with the Principe of Minimal Change, a special evidence metric is introduced for measuring distance between states of knowledge. Then a novel semantics of knowledge bases is developed suggested by the heuristics of weighted maximally consistent subsets. The latter is efficiently applied to the processes of consistent and (...)
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  • Paraconsistency and Plausible Argumentation in Generative Grammar: A Case Study. [REVIEW]András Kertész & Csilla Rákosi - 2013 - Journal of Logic, Language and Information 22 (2):195-230.
    While the analytical philosophy of science regards inconsistent theories as disastrous, Chomsky allows for the temporary tolerance of inconsistency between the hypotheses and the data. However, in linguistics there seem to be several types of inconsistency. The present paper aims at the development of a novel metatheoretical framework which provides tools for the representation and evaluation of inconsistencies in linguistic theories. The metatheoretical model relies on a system of paraconsistent logic and distinguishes between strong and weak inconsistency. Strong inconsistency is (...)
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  • Causal Premise Semantics.Stefan Kaufmann - 2013 - Cognitive Science 37 (6):1136-1170.
    The rise of causality and the attendant graph-theoretic modeling tools in the study of counterfactual reasoning has had resounding effects in many areas of cognitive science, but it has thus far not permeated the mainstream in linguistic theory to a comparable degree. In this study I show that a version of the predominant framework for the formal semantic analysis of conditionals, Kratzer-style premise semantics, allows for a straightforward implementation of the crucial ideas and insights of Pearl-style causal networks. I spell (...)
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  • Refuting a Standpoint by Appealing to Its Outcomes: Reductio ad Absurdum vs. Argument from Consequences.Henrike Jansen - 2007 - Informal Logic 27 (3):249-266.
    Used informally, the Reductio ad Absurdum (RAA) consists in reasoning appealing to the logically implied, absurd consequences of a hypothetical proposition, in order to refute it. This kind of reasoning resembles the Argument from Consequences, which appeals to causally induced consequences. These types of argument are sometimes confused, since it is not worked out how these different kinds of consequences should be distinguished. In this article it is argued that the logical consequences in RAA-argumentation can take different appearances and that (...)
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  • Inductive Incompleteness.Matthias Hild - 2006 - Philosophical Studies 128 (1):109-135.
    Nelson Goodman cast the ‘problem of induction’ as the task of articulating the principles and standards by which to distinguish valid from invalid inductive inferences. This paper explores some logical bounds on the ability of a rational reasoner to accomplish this task. By a simple argument, either an inductive inference method cannot admit its own fallibility, or there exists some non-inferable hypothesis whose non-inferability the method cannot infer (violating the principle of ‘negative introspection’). The paper discusses some implications of this (...)
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  • Rational belief change, Popper functions and counterfactuals.William L. Harper - 1975 - Synthese 30 (1-2):221 - 262.
    This paper uses Popper's treatment of probability and an epistemic constraint on probability assignments to conditionals to extend the Bayesian representation of rational belief so that revision of previously accepted evidence is allowed for. Results of this extension include an epistemic semantics for Lewis' theory of counterfactual conditionals and a representation for one kind of conceptual change.
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  • Deontic logics for prioritized imperatives.Jörg Hansen - 2006 - Artificial Intelligence and Law 14 (1-2):1-34.
    When a conflict of duties arises, a resolution is often sought by use of an ordering of priority or importance. This paper examines how such a conflict resolution works, compares mechanisms that have been proposed in the literature, and gives preference to one developed by Brewka and Nebel. I distinguish between two cases – that some conflicts may remain unresolved, and that a priority ordering can be determined that resolves all – and provide semantics and axiomatic systems for accordingly defined (...)
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  • Epistemic importance and minimal changes of belief.Peter Gärdenfors - 1984 - Australasian Journal of Philosophy 62 (2):136 – 157.
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  • The propositional logic of ordinary discourse.William S. Cooper - 1968 - Inquiry: An Interdisciplinary Journal of Philosophy 11 (1-4):295 – 320.
    The logical properties of the 'if-then' connective of ordinary English differ markedly from the logical properties of the material conditional of classical, two-valued logic. This becomes apparent upon examination of arguments in conversational English which involve (noncounterfactual) usages of if-then'. A nonclassical system of propositional logic is presented, whose conditional connective has logical properties approximating those of 'if-then'. This proposed system reduces, in a sense, to the classical logic. Moreover, because it is equivalent to a certain nonstandard three-valued logic, its (...)
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  • On some claims aboutif-then.Martin D. S. Braine - 1979 - Linguistics and Philosophy 3 (1):35 - 47.
    The paper has sought to show two things. One is that the apparent variety of Stalnaker and Lewis's counterexamples is misleading. Several of their examples are quite unsatisfactory because they depend on unguarded language behavior. There is in fact only one type of counterexample that is worth serious discussion, and that has the form of Barense's.For Barense's example, I try to show that it fails as a counterexample to transitivity because one of the premisses is false within the context of (...)
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  • Strategic behavior and counterfactuals.Cristina Bicchieri - 1988 - Synthese 76 (1):135 - 169.
    The difficulty of defining rational behavior in game situations is that the players'' strategies will depend on their expectations about other players'' strategies. These expectations are beliefs the players come to the game with. Game theorists assume these beliefs to be rational in the very special sense of beingobjectively correct but no explanation is offered of the mechanism generating this property of the belief system. In many interesting cases, however, such a rationality requirement is not enough to guarantee that an (...)
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  • Yes fellows, most human reasoning is complex.Diderik Batens, Kristof De Clercq, Peter Verdée & Joke Meheus - 2009 - Synthese 166 (1):113-131.
    This paper answers the philosophical contentions defended in Horsten and Welch . It contains a description of the standard format of adaptive logics, analyses the notion of dynamic proof required by those logics, discusses the means to turn such proofs into demonstrations, and argues that, notwithstanding their formal complexity, adaptive logics are important because they explicate an abundance of reasoning forms that occur frequently, both in scientific contexts and in common sense contexts.
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  • The theory of the process of explanation generalized to include the inconsistent case.Diderik Batens - 2005 - Synthese 143 (1-2):63 - 88.
    . This paper proposes a generalization of the theory of the process of explanation to include consistent as well as inconsistent situations. The generalization is strong, for example in the sense that, if the background theory and the initial conditions are consistent, it leads to precisely the same results as the theory from the lead paper (Halonen and Hintikka 2004). The paper presupposes (and refers to arguments for the view that) inconsistencies constitute problems and that scientists try to resolve them.
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  • Paraconsistency and its relation to worldviews.Diderik Batens - 1998 - Foundations of Science 3 (2):259-283.
    The paper highlights the import of the paraconsistent movement, list some motivations for its origin, and distinguishes some stands with respect to para-consistency. It then discusses some sources of inconsistency that are specific for worldviews, and the import of the paraconsistent turn for the worldviews enterprise.
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  • Direct Dynamic Proofs for the Rescher–Manor Consequence Relations: The Flat Case.Diderik Batens & Timothy Vermeir - 2002 - Journal of Applied Non-Classical Logics 12 (1):63-84.
    In [BAT 00b], the flat Rescher–Manor consequence relations — the Free, Strong, Argued, C-Based, andWeak consequence relation—were shown to be characterized by inconsistency-adaptive logics defined from the paraconsistent logic CLuN. This provided these consequence relations with a dynamic proof theory. In the present paper we show that the detour via an inconsistency-adaptive logic is not necessary. We present a direct dynamic proof theory, formulated in the language of Classical Logic, and prove its adequacy. The present paper contains the first direct (...)
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  • Deontic logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.
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  • Safe Contraction Revisited.Hans Rott & Sven Ove Hansson - 2014 - In Sven Ove Hansson (ed.), David Makinson on Classical Methods for Non-Classical Problems (Outstanding Contributions to Logic, Vol. 3). Dordrecht: Springer. pp. 35–70.
    Modern belief revision theory is based to a large extent on partial meet contraction that was introduced in the seminal article by Carlos Alchourrón, Peter Gärdenfors, and David Makinson that appeared in 1985. In the same year, Alchourrón and Makinson published a significantly different approach to the same problem, called safe contraction. Since then, safe contraction has received much less attention than partial meet contraction. The present paper summarizes the current state of knowledge on safe contraction, provides some new results (...)
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  • The informal use of Reductio ad Absurdum.Henrike Jansen - unknown
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  • Some philosophical problems from the standpoint of artificial intelligence.John McCarthy & Patrick Hayes - 1969 - In B. Meltzer & Donald Michie (eds.), Machine Intelligence 4. Edinburgh University Press. pp. 463--502.
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  • Pluralism in Scientific Problem Solving. Why Inconsistency is No Big Deal.Diderik Batens - 2017 - Humana Mente 10 (32):149-177.
    Pluralism has many meanings. An assessment of the need for logical pluralism with respect to scientific knowledge requires insights in its domain of application. So first a specific form of epistemic pluralism will be defended. Knowledge turns out a patchwork of knowledge chunks. These serve descriptive as well as evaluative functions, may have competitors within the knowledge system, interact with each other, and display a characteristic dynamics caused by new information as well as by mutual readjustment. Logics play a role (...)
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  • A Sense of Non-Understanding.Jerzy Pelc - 1986 - Studia Semiotyczne—English Supplement 27:15-22.
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