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  1. The nature of laws.Michael Tooley - 1977 - Canadian Journal of Philosophy 7 (4):667-98.
    This paper is concerned with the question of the truth conditions of nomological statements. My fundamental thesis is that it is possible to set out an acceptable, noncircular account of the truth conditions of laws and nomological statements if and only if relations among universals - that is, among properties and relations, construed realistically - are taken as the truth-makers for such statements. My discussion will be restricted to strictly universal, nonstatistical laws. The reason for this limitation is not that (...)
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  • Contingent identity.Allan Gibbard - 1975 - Journal of Philosophical Logic 4 (2):187-222.
    Identities formed with proper names may be contingent. this claim is made first through an example. the paper then develops a theory of the semantics of concrete things, with contingent identity as a consequence. this general theory lets concrete things be made up canonically from fundamental physical entities. it includes theories of proper names, variables, cross-world identity with respect to a sortal, and modal and dispositional properties. the theory, it is argued, is coherent and superior to its rivals, in that (...)
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  • Indeterminist time and truth-value gaps.Richmond H. Thomason - 1970 - Theoria 36 (3):264-281.
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  • Neighborhood Semantics for Modal Logic.Eric Pacuit - 2017 - Cham, Switzerland: Springer.
    This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic. In addition, the book discusses a broad range of topics, including standard modal logic results ; bisimulations for neighborhood models and other model-theoretic (...)
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  • Counterpossibles in Science: The Case of Relative Computability.Matthias Jenny - 2018 - Noûs 52 (3):530-560.
    I develop a theory of counterfactuals about relative computability, i.e. counterfactuals such as 'If the validity problem were algorithmically decidable, then the halting problem would also be algorithmically decidable,' which is true, and 'If the validity problem were algorithmically decidable, then arithmetical truth would also be algorithmically decidable,' which is false. These counterfactuals are counterpossibles, i.e. they have metaphysically impossible antecedents. They thus pose a challenge to the orthodoxy about counterfactuals, which would treat them as uniformly true. What’s more, I (...)
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  • Probability and conditionals.Robert C. Stalnaker - 1970 - Philosophy of Science 37 (1):64-80.
    The aim of the paper is to draw a connection between a semantical theory of conditional statements and the theory of conditional probability. First, the probability calculus is interpreted as a semantics for truth functional logic. Absolute probabilities are treated as degrees of rational belief. Conditional probabilities are explicitly defined in terms of absolute probabilities in the familiar way. Second, the probability calculus is extended in order to provide an interpretation for counterfactual probabilities--conditional probabilities where the condition has zero probability. (...)
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  • (1 other version)What does a conditional knowledge base entail?Daniel Lehmann & Menachem Magidor - 1992 - Artificial Intelligence 55 (1):1-60.
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  • A semantic analysis of conditional logic.Robert C. Stalnaker & Richmond H. Thomason - 1970 - Theoria 36 (1):23-42.
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  • Causal decision theory, context, and determinism.Calum McNamara - 2024 - Philosophy and Phenomenological Research 109 (1):226-260.
    The classic formulation of causal decision theory (CDT) appeals to counterfactuals. It says that you should aim to choose an option that would have a good outcome, were you to choose it. However, this version of CDT faces trouble if the laws of nature are deterministic. After all, the standard theory of counterfactuals says that, if the laws are deterministic, then if anything—including the choice you make—were different in the present, either the laws would be violated or the distant past (...)
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  • If P, Then P!Matthew Mandelkern - 2021 - Journal of Philosophy 118 (12):645-679.
    The Identity principle says that conditionals with the form 'If p, then p' are logical truths. Identity is overwhelmingly plausible, and has rarely been explicitly challenged. But a wide range of conditionals nonetheless invalidate it. I explain the problem, and argue that the culprit is the principle known as Import-Export, which we must thus reject. I then explore how we can reject Import-Export in a way that still makes sense of the intuitions that support it, arguing that the differences between (...)
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  • Basic conditional logic.Brian F. Chellas - 1975 - Journal of Philosophical Logic 4 (2):133 - 153.
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  • Chance and counterfactuals.John Hawthorne - 2005 - Philosophy and Phenomenological Research 70 (2):396–405.
    Suppose the world is chancy. The worry arises that most ordinary counterfactuals are false. This paper examines David Lewis' strategy for rescuing such counterfactuals, and argues that it is highly problematic.
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  • Talking about worlds.Matthew Mandelkern - 2018 - Philosophical Perspectives 32 (1):298-325.
    I explore the logic of the conditional, using credence judgments to argue against Duality and in favor of Conditional Excluded Middle. I then explore how to give a theory of the conditional which validates the latter and not the former, developing a variant on Kratzer (1981)'s restrictor theory, as well as a proposal which combines Stalnaker (1968)'s theory of the conditional with the theory of epistemic modals I develop in Mandelkern 2019a. I argue that the latter approach fits naturally with (...)
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  • (1 other version)The Orthologic of Epistemic Modals.Wesley H. Holliday & Matthew Mandelkern - 2024 - Journal of Philosophical Logic 53 (4):831-907.
    Epistemic modals have peculiar logical features that are challenging to account for in a broadly classical framework. For instance, while a sentence of the form $$p\wedge \Diamond \lnot p$$ (‘p, but it might be that not p’) appears to be a contradiction, $$\Diamond \lnot p$$ does not entail $$\lnot p$$, which would follow in classical logic. Likewise, the classical laws of distributivity and disjunctive syllogism fail for epistemic modals. Existing attempts to account for these facts generally either under- or over-correct. (...)
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  • A causal theory of counterfactuals.Eric Hiddleston - 2005 - Noûs 39 (4):632–657.
    I develop an account of counterfactual conditionals using “causal models”, and argue that this account is preferable to the currently standard account in terms of “similarity of possible worlds” due to David Lewis and Robert Stalnaker. I diagnose the attraction of counterfactual theories of causation, and argue that it is illusory.
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  • Completeness and decidability of three logics of counterfactual conditionals.David Lewis - 1971 - Theoria 37 (1):74-85.
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  • Defending a possible-worlds account of indicative conditionals.Daniel Nolan - 2003 - Philosophical Studies 116 (3):215-269.
    One very popular kind of semantics for subjunctive conditionals is aclosest-worlds account along the lines of theories given by David Lewisand Robert Stalnaker. If we could give the same sort of semantics forindicative conditionals, we would have a more unified account of themeaning of ``if ... then ...'' statements, one with manyadvantages for explaining the behaviour of conditional sentences. Such atreatment of indicative conditionals, however, has faced a battery ofobjections. This paper outlines a closest-worlds account of indicativeconditionals that does better (...)
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  • The Growing-Block: just one thing after another?Rachael Briggs & Graeme A. Forbes - 2016 - Philosophical Studies 174 (4):927-943.
    In this article, we consider two independently appealing theories—the Growing-Block view and Humean Supervenience—and argue that at least one is false. The Growing-Block view is a theory about the nature of time. It says that past and present things exist, while future things do not, and the passage of time consists in new things coming into existence. Humean Supervenience is a theory about the nature of entities like laws, nomological possibility, counterfactuals, dispositions, causation, and chance. It says that none of (...)
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  • A Counterexample to Modus Ponenses.Matthew Mandelkern - 2020 - Journal of Philosophy 117 (6):315-331.
    McGee argued that modus ponens was invalid for the natural language conditional ‘If…then…’. Many subsequent responses have argued that, while McGee’s examples show that modus ponens fails to preserve truth, they do not show that modus ponens fails to preserve rational full acceptance, and thus modus ponens may still be valid in the latter informational sense. I show that when we turn our attention from indicative conditionals to subjunctive conditionals, we find that modus ponens does not preserve either truth or (...)
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  • Import‐Export and ‘And’.Matthew Mandelkern - 2018 - Philosophy and Phenomenological Research 100 (1):118-135.
    Import-Export says that a conditional 'If p, if q, r' is always equivalent to the conditional 'If p and q, r'. I argue that Import-Export does not sit well with a classical approach to conjunction: given some plausible and widely accepted principles about conditionals, Import-Export together with classical conjunction leads to absurd consequences. My main goal is to draw out these surprising connections. In concluding I argue that the right response is to reject Import-Export and adopt instead a limited version (...)
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  • Topics in Conditional Logic.Donald Nute - 1980 - Boston, MA, USA: Reidel.
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  • Ultralogic as Universal?: The Sylvan Jungle - Volume 4.Richard Routley - 2019 - Cham, Switzerland: Springer Verlag.
    Ultralogic as Universal? is a seminal text in non-classcial logic. Richard Routley presents a hugely ambitious program: to use an 'ultramodal' logic as a universal key, which opens, if rightly operated, all locks. It provides a canon for reasoning in every situation, including illogical, inconsistent and paradoxical ones, realized or not, possible or not. A universal logic, Routley argues, enables us to go where no other logic—especially not classical logic—can. Routley provides an expansive and singular vision of how a universal (...)
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  • Time and modality in the logic of agency.Brian F. Chellas - 1992 - Studia Logica 51 (3-4):485 - 517.
    Recent theories of agency (sees to it that) of Nuel Belnap and Michael Perloff are examined, particularly in the context of an early proposal of the author.
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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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  • Modal logic with subjunctive conditionals and dispositional predicates.Lennart Åqvist - 1973 - Journal of Philosophical Logic 2 (1):1 - 76.
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  • Causal Counterfactuals and Impossible Worlds.Daniel Nolan - 2017 - In Helen Beebee, Christopher Hitchcock & Huw Price (eds.), Making a Difference: Essays on the Philosophy of Causation. Oxford: Oxford University Press. pp. 14-32.
    A standing challenge in the theory of counterfactuals is to solve the “deviation problem”. Consider ordinary counterfactuals involving an antecedent concerning a difference from the actual course of events at a particular time, and a consequent concerning, at least in part, what happens at a later time. In the possible worlds framework, the problem is often put in terms of which are the relevant antecedent worlds. Desiderata for the solution include that the relevant antecedent worlds be governed by the actual (...)
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  • Counterfactuals, correlatives, and disjunction.Luis Alonso-Ovalle - 2009 - Linguistics and Philosophy 32 (2):207-244.
    The natural interpretation of counterfactuals with disjunctive antecedents involves selecting from each of the disjuncts the worlds that come closest to the world of evaluation. It has been long noticed that capturing this interpretation poses a problem for a minimal change semantics for counterfactuals, because selecting the closest worlds from each disjunct requires accessing the denotation of the disjuncts from the denotation of the disjunctive antecedent, which the standard boolean analysis of or does not allow (Creary and Hill, Philosophy of (...)
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  • Evidence Sensitivity in Weak Necessity Deontic Modals.Alex Silk - 2014 - Journal of Philosophical Logic 43 (4):691-723.
    Kolodny and MacFarlane have made a pioneering contribution to our understanding of how the interpretation of deontic modals can be sensitive to evidence and information. But integrating the discussion of information-sensitivity into the standard Kratzerian framework for modals suggests ways of capturing the relevant data without treating deontic modals as “informational modals” in their sense. I show that though one such way of capturing the data within the standard semantics fails, an alternative does not. Nevertheless I argue that we have (...)
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  • A graph model for probabilities of nested conditionals.Anna Wójtowicz & Krzysztof Wójtowicz - 2022 - Linguistics and Philosophy 45 (3):511-558.
    We define a model for computing probabilities of right-nested conditionals in terms of graphs representing Markov chains. This is an extension of the model for simple conditionals from Wójtowicz and Wójtowicz. The model makes it possible to give a formal yet simple description of different interpretations of right-nested conditionals and to compute their probabilities in a mathematically rigorous way. In this study we focus on the problem of the probabilities of conditionals; we do not discuss questions concerning logical and metalogical (...)
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  • A relevant theory of conditionals.Edwin D. Mares & André Fuhrmann - 1995 - Journal of Philosophical Logic 24 (6):645 - 665.
    In this paper we set out a semantics for relevant (counterfactual) conditionals. We combine the Routley-Meyer semantics for relevant logic with a semantics for conditionals based on selection functions. The resulting models characterize a family of conditional logics free from fallacies of relevance, in particular counternecessities and conditionals with necessary consequents receive a non-trivial treatment.
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  • Peter Schroeder-Heister on Proof-Theoretic Semantics.Thomas Piecha & Kai F. Wehmeier (eds.) - 2024 - Springer.
    This open access book is a superb collection of some fifteen chapters inspired by Schroeder-Heister's groundbreaking work, written by leading experts in the field, plus an extensive autobiography and comments on the various contributions by Schroeder-Heister himself. For several decades, Peter Schroeder-Heister has been a central figure in proof-theoretic semantics, a field of study situated at the interface of logic, theoretical computer science, natural-language semantics, and the philosophy of language. -/- The chapters of which this book is composed discuss the (...)
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  • The future, and what might have been.R. A. Briggs & Graeme A. Forbes - 2018 - Philosophical Studies 176 (2):505-532.
    We show that five important elements of the ‘nomological package’— laws, counterfactuals, chances, dispositions, and counterfactuals—needn’t be a problem for the Growing-Block view. We begin with the framework given in Briggs and Forbes (in The real truth about the unreal future. Oxford studies in metaphysics. Oxford University Press, Oxford, 2012 ), and, taking laws as primitive, we show that the Growing-Block view has the resources to provide an account of possibility, and a natural semantics for non-backtracking causal counterfactuals. We show (...)
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  • A general theory of the conditional in terms of a ternary operator.Dov M. Gabbay - 1972 - Theoria 38 (3):97-104.
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  • Analysing causality: The opposite of counterfactual is factual.Jim Bogen - 2002 - International Studies in the Philosophy of Science 18 (1):3 – 26.
    Using Jim Woodward's Counterfactual Dependency account as an example, I argue that causal claims about indeterministic systems cannot be satisfactorily analysed as including counterfactual conditionals among their truth conditions because the counterfactuals such accounts must appeal to need not have truth values. Where this happens, counterfactual analyses transform true causal claims into expressions which are not true.
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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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  • Counterfactuals and modality.Gabriel Greenberg - 2021 - Linguistics and Philosophy 44 (6):1255-1280.
    This essay calls attention to a set of linguistic interactions between counterfactual conditionals, on one hand, and possibility modals like could have and might have, on the other. These data present a challenge to the popular variably strict semantics for counterfactual conditionals. Instead, they support a version of the strict conditional semantics in which counterfactuals and possibility modals share a unified quantificational domain. I’ll argue that pragmatic explanations of this evidence are not available to the variable analysis. And putative counterexamples (...)
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  • Conditional Excluded Middle without the Limit Assumption.Eric Swanson - 2012 - Philosophy and Phenomenological Research 85 (2):301-321.
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  • Intuitionistic Conditional Logics.Ivano Ciardelli & Xinghan Liu - 2020 - Journal of Philosophical Logic 49 (4):807-832.
    Building on recent work by Yale Weiss, we study conditional logics in the intuitionistic setting. We consider a number of semantic conditions which give rise, among others, to intuitionistic counterparts of Lewis’s logic VC and Stalnaker’s C2. We show how to obtain a sound and complete axiomatization of each logic arising from a combination of these conditions. On the way, we remark how, in the intuitionistic setting, certain classically equivalent principles of conditional logic come apart, and how certain logical connections (...)
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  • Learning Conditional Information by Jeffrey Imaging on Stalnaker Conditionals.Mario Günther - 2018 - Journal of Philosophical Logic 47 (5):851-876.
    We propose a method of learning indicative conditional information. An agent learns conditional information by Jeffrey imaging on the minimally informative proposition expressed by a Stalnaker conditional. We show that the predictions of the proposed method align with the intuitions in Douven, 239–263 2012)’s benchmark examples. Jeffrey imaging on Stalnaker conditionals can also capture the learning of uncertain conditional information, which we illustrate by generating predictions for the Judy Benjamin Problem.
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  • Conditionals, Meaning, and Mood.William Starr - 2010 - Dissertation, Rutgers University
    This work explores the hypothesis that natural language is a tool for changing a language user's state of mind and, more specifically, the hypothesis that a sentence's meaning is constituted by its characteristic role in fulfilling this purpose. This view contrasts with the dominant approach to semantics due to Frege, Tarski and others' work on artificial languages: language is first and foremost a tool for representing the world. Adapted to natural language by Davidson, Lewis, Montague, et. al. this dominant approach (...)
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  • A Lewisian Logic of Causal Counterfactuals.Jiji Zhang - 2013 - Minds and Machines 23 (1):77-93.
    In the artificial intelligence literature a promising approach to counterfactual reasoning is to interpret counterfactual conditionals based on causal models. Different logics of such causal counterfactuals have been developed with respect to different classes of causal models. In this paper I characterize the class of causal models that are Lewisian in the sense that they validate the principles in Lewis’s well-known logic of counterfactuals. I then develop a system sound and complete with respect to this class. The resulting logic is (...)
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  • On Stalnaker's "Indicative Conditionals".Fabrizio Cariani - forthcoming - In Louise McNally & Zoltan Szabo (eds.), Studies in Linguistics and Philosophy, Vol 100. Springer.
    This paper is a guide to the main ideas and innovations in Robert Stalnaker's "Indicative Conditionals". The paper is for a volume of essays on twenty-one classics of formal semantics edited by Louise McNally and Zoltàn Gendler Szabò.
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  • Freedom, God, and worlds.Michael J. Almeida - 2012 - Oxford: Oxford University Press.
    Michael J. Almeida presents a bold new defence of the existence of God. He argues that entrenched principles in philosophical theology which have served as basic assumptions in apriori, atheological arguments are in fact philosophical dogmas. Almeida argues that not only are such principles false - they are necessarily false.
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  • (1 other version)Counterfactuals without possible worlds.Raymond Turner - 1981 - Journal of Philosophical Logic 10 (4):453 - 493.
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  • Ramsey’s conditionals.Mario Günther & Caterina Sisti - 2022 - Synthese 200 (2):1-31.
    In this paper, we propose a unified account of conditionals inspired by Frank Ramsey. Most contemporary philosophers agree that Ramsey’s account applies to indicative conditionals only. We observe against this orthodoxy that his account covers subjunctive conditionals as well—including counterfactuals. In light of this observation, we argue that Ramsey’s account of conditionals resembles Robert Stalnaker’s possible worlds semantics supplemented by a model of belief. The resemblance suggests to reinterpret the notion of conditional degree of belief in order to overcome a (...)
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  • The conditional in quantum logic.Gary M. Hardegree - 1974 - Synthese 29 (1-4):63 - 80.
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  • Frontiers of Conditional Logic.Yale Weiss - 2019 - Dissertation, The Graduate Center, City University of New York
    Conditional logics were originally developed for the purpose of modeling intuitively correct modes of reasoning involving conditional—especially counterfactual—expressions in natural language. While the debate over the logic of conditionals is as old as propositional logic, it was the development of worlds semantics for modal logic in the past century that catalyzed the rapid maturation of the field. Moreover, like modal logic, conditional logic has subsequently found a wide array of uses, from the traditional (e.g. counterfactuals) to the exotic (e.g. conditional (...)
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  • Reasoning with conditionals.Guy Politzer - 2007 - Topoi 26 (1):79-95.
    This paper reviews the psychological investigation of reasoning with conditionals, putting an emphasis on recent work. In the first part, a few methodological remarks are presented. In the second part, the main theories of deductive reasoning (mental rules, mental models, and the probabilistic approach) are considered in turn; their content is summarised and the semantics they assume for if and the way they explain formal conditional reasoning are discussed, in particular in the light of experimental work on the probability of (...)
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  • A note on non-monotonic modal logic.Robert Stalnaker - 1993 - Artificial Intelligence 64 (2):183-196.
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  • Ability, action, and context.Richmond H. Thomason - unknown
    This paper proposes a formalization of ability that is motivated in part by linguistic considerations and by the philosophical literature in action theory and the logic of ability, but that is also meant to match well with planning formalisms, and so to provide an account of the role of ability in practical reasoning. Some of the philosophical literature concerning ability, and in particular [Austin, 1956], suggests that some ways of talking about ability are context-dependent. I propose a way of formalizing (...)
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