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  1. Causal Contextualisms.Jonathan Schaffer - 2013 - In Martijn Blaauw (ed.), Contrastivism in philosophy. New York: Routledge/Taylor & Francis Group.
    Causal claims are context sensitive. According to the old orthodoxy (Mackie 1974, Lewis 1986, inter alia), the context sensitivity of causal claims is all due to conversational pragmatics. According to the new contextualists (Hitchcock 1996, Woodward 2003, Maslen 2004, Menzies 2004, Schaffer 2005, and Hall ms), at least some of the context sensitivity of causal claims is semantic in nature. I want to discuss the prospects for causal contextualism, by asking why causal claims are context sensitive, what they are sensitive (...)
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  • Contrastive causation.Jonathan Schaffer - 2005 - Philosophical Review 114 (3):327-358.
    Causation is widely assumed to be a binary relation: c causes e. I will argue that causation is a quaternary, contrastive relation: c rather than C* causes e rather than E*, where C* and E* are nonempty sets of contrast events. Or at least, I will argue that treating causation as contrastive helps resolve some paradoxes.
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  • Why Your Causal Intuitions are Corrupt: Intermediate and Enabling Variables.Christopher Clarke - 2023 - Erkenntnis 89 (3):1065-1093.
    When evaluating theories of causation, intuitions should not play a decisive role, not even intuitions in flawlessly-designed thought experiments. Indeed, no coherent theory of causation can respect the typical person’s intuitions in redundancy (pre-emption) thought experiments, without disrespecting their intuitions in threat-and-saviour (switching/short-circuit) thought experiments. I provide a deductively sound argument for these claims. Amazingly, this argument assumes absolutely nothing about the nature of causation. I also provide a second argument, whose conclusion is even stronger: the typical person’s causal intuitions (...)
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  • Grounding interventionism: Conceptual and epistemological challenges.Amanda Bryant - 2022 - Metaphilosophy 53 (2-3):322-343.
    Philosophers have recently highlighted substantial affinities between causation and grounding, which has inclined some to import the conceptual and formal resources of causal interventionism into the metaphysics of grounding. The prospect of grounding interventionism raises two important questions: exactly what are grounding interventions, and why should we think they enable knowledge of grounding? This paper will approach these questions by examining how causal interventionists have addressed (or might address) analogous questions and then comparing the available options for grounding interventionism. I (...)
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  • Causes of causes.Alex Broadbent - 2012 - Philosophical Studies 158 (3):457-476.
    When is a cause of a cause of an effect also a cause of that effect? The right answer is either Sometimes or Always . In favour of Always , transitivity is considered by some to be necessary for distinguishing causes from redundant non-causal events. Moreover transitivity may be motivated by an interest in an unselective notion of causation, untroubled by principles of invidious discrimination. And causal relations appear to add up like transitive relations, so that the obtaining of the (...)
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  • Explanatory Abstraction and the Goldilocks Problem: Interventionism Gets Things Just Right.Thomas Blanchard - 2020 - British Journal for the Philosophy of Science 71 (2):633-663.
    Theories of explanation need to account for a puzzling feature of our explanatory practices: the fact that we prefer explanations that are relatively abstract but only moderately so. Contra Franklin-Hall ([2016]), I argue that the interventionist account of explanation provides a natural and elegant explanation of this fact. By striking the right balance between specificity and generality, moderately abstract explanations optimally subserve what interventionists regard as the goal of explanation, namely identifying possible interventions that would have changed the explanandum.
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  • (2 other versions)Thought Experiments and Actual Causation.Margherita Benzi - 2019 - Topoi 38 (4):835-843.
    Philosophical works on actual causation make wide use of thought experiments. The principal aim of this paper is to show how thought experiments are used in the contemporary debate over actual causation and to discuss their role in relation to formal approaches in terms of causal models. I claim that a recourse to thought experiments is not something old fashioned or superseded by abstract models, but it is useful to interpret abstract models themselves and to use our intuitions to judge (...)
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  • (2 other versions)Thought Experiments and Actual Causation.Margherita Benzi - 2019 - Topoi 38 (4):835-843.
    Philosophical works on actual causation make wide use of thought experiments. The principal aim of this paper is to show how thought experiments are used in the contemporary debate over actual causation and to discuss their role in relation to formal approaches in terms of causal models. I claim that a recourse to thought experiments is not something old fashioned or superseded by abstract models, but it is useful to interpret abstract models themselves and to use our intuitions to judge (...)
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  • (2 other versions)Thought Experiments and Actual Causation.Margherita Benzi - 2019 - Topoi 38 (4):835-843.
    Philosophical works on actual causation make wide use of thought experiments. The principal aim of this paper is to show how thought experiments are used in the contemporary debate over actual causation and to discuss their role in relation to formal approaches in terms of causal models. I claim that a recourse to thought experiments is not something old fashioned or superseded by abstract models, but it is useful to interpret abstract models themselves and to use our intuitions to judge (...)
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  • Causal Sufficiency and Actual Causation.Sander Beckers - 2021 - Journal of Philosophical Logic 50 (6):1341-1374.
    Pearl opened the door to formally defining actual causation using causal models. His approach rests on two strategies: first, capturing the widespread intuition that X = x causes Y = y iff X = x is a Necessary Element of a Sufficient Set for Y = y, and second, showing that his definition gives intuitive answers on a wide set of problem cases. This inspired dozens of variations of his definition of actual causation, the most prominent of which are due (...)
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  • A principled approach to defining actual causation.Sander Beckers & Joost Vennekens - 2018 - Synthese 195 (2):835-862.
    In this paper we present a new proposal for defining actual causation, i.e., the problem of deciding if one event caused another. We do so within the popular counterfactual tradition initiated by Lewis, which is characterised by attributing a fundamental role to counterfactual dependence. Unlike the currently prominent definitions, our approach proceeds from the ground up: we start from basic principles, and construct a definition of causation that satisfies them. We define the concepts of counterfactual dependence and production, and put (...)
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  • (1 other version)A Causal Analysis of Harm.Sander Beckers, Hana Chockler & Joseph Y. Halpern - 2024 - Minds and Machines 34 (3):1-24.
    As autonomous systems rapidly become ubiquitous, there is a growing need for a legal and regulatory framework that addresses when and how such a system harms someone. There have been several attempts within the philosophy literature to define harm, but none of them has proven capable of dealing with the many examples that have been presented, leading some to suggest that the notion of harm should be abandoned and “replaced by more well-behaved notions”. As harm is generally something that is (...)
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  • The Compact Compendium of Experimental Philosophy.Alexander Max Bauer & Stephan Kornmesser (eds.) - 2023 - Berlin and Boston: De Gruyter.
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  • A Regularity Theoretic Approach to Actual Causation.Michael Baumgartner - 2013 - Erkenntnis 78 (1):85-109.
    The majority of the currently flourishing theories of actual causation are located in a broadly counterfactual framework that draws on structural equations. In order to account for cases of symmetric overdeterminiation and preemption, these theories resort to rather intricate analytical tools, most of all, to what Hitchcock has labeled explicitly nonforetracking counterfactuals. This paper introduces a regularity theoretic approach to actual causation that only employs material conditionals, standard Boolean minimization procedures, and a stability condition that regulates the behavior of causal (...)
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  • On the Ramsey Test Analysis of ‘Because’.Holger Andreas & Mario Günther - 2019 - Erkenntnis 84 (6):1229-1262.
    The well-known formal semantics of conditionals due to Stalnaker Studies in logical theory, Blackwell, Oxford, 1968), Lewis, and Gärdenfors The logic and 1140 epistemology of scientific change, North-Holland, Amsterdam, 1978, Knowledge in flux, MIT Press, Cambridge, 1988) all fail to distinguish between trivially and nontrivially true indicative conditionals. This problem has been addressed by Rott :345–370, 1986) in terms of a strengthened Ramsey Test. In this paper, we refine Rott’s strengthened Ramsey Test and the corresponding analysis of explanatory relations. We (...)
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  • Difference-Making Causation.Holger Andreas & Mario Günther - 2021 - Journal of Philosophy 118 (12):680-701.
    We put forth an analysis of causation. The analysis centers on the notion of a causal model that provides only partial information as to which events occur, but complete information about the dependences between the events. The basic idea is this: an event causes another just in case there is a causal model that is uninformative on both events and in which the first event makes a difference as to the occurrence of the other. We show that our analysis captures (...)
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  • A Regularity Theory of Causation.Holger Andreas & Mario Günther - 2024 - Pacific Philosophical Quarterly 105 (1):2-32.
    In this paper, we propose a regularity theory of causation. The theory aims to be reductive and to align with our pre‐theoretic understanding of the causal relation. We show that our theory can account for a wide range of causal scenarios, including isomorphic scenarios, omissions, and scenarios which suggest that causation is not transitive.
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  • Combining experts' causal judgments.Dalal Alrajeh, Hana Chockler & Joseph Y. Halpern - 2020 - Artificial Intelligence 288 (C):103355.
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  • Against causal arguments in metaphysics.Bram Vaassen - 2024 - Asian Journal of Philosophy 3 (2):1-13.
    Traditionally, causal arguments for physicalism have been taken to favour a ‘reductive’ brand of physicalism, according to which all the mental stuff is identical to some of the physical stuff. Many flaws have been found with these traditional causal arguments. Zhong (Asian Journal of Philosophy,2(2), 1–9, 2023) develops a new causal argument that avoids these flaws and favours a milder, non-reductive brand of physicalism instead. The conclusion is that all mental stuff is metaphysically necessitated by some of the physical stuff. (...)
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  • A Lewisian regularity theory.Holger Andreas & Mario Günther - 2024 - Philosophical Studies 181 (9):2145-2176.
    In this paper, we develop a non-reductive variant of the regularity theory of causation proposed in Andreas and Günther (Pacific Philosophical Quarterly 105: 2–32, 2024). The variant is motivated as a refinement of Lewis’s (Journal of Philosophy 70:556–567, 1973) regularity theory. We do not pursue a reductive theory here because we found a challenge for Baumgartner's (Erkenntnis 78:85–109, 2013) regularity theory which applies to our previous theory as well. The challenge is sidestepped by a framework of law-like propositions resembling structural (...)
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  • Causal Models and Metaphysics - Part 1: Using Causal Models.Jennifer McDonald - forthcoming - Philosophy Compass.
    This paper provides a general introduction to the use of causal models in the metaphysics of causation, specifically structural equation models and directed acyclic graphs. It reviews the formal framework, lays out a method of interpretation capable of representing different underlying metaphysical relations, and describes the use of these models in analyzing causation.
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  • What Can Causal Powers Do for Interventionism? The Problem of Logically Complex Causes.Vera Hoffmann-Kolss - 2023 - In Christopher J. Austin, Anna Marmodoro & Andrea Roselli (eds.), Powers, Parts and Wholes: Essays on the Mereology of Powers. New York, NY: Routledge. pp. 130-141.
    Analyzing causation in terms of Woodward's interventionist theory and describing the structure of the world in terms of causal powers are usually regarded as quite different projects in contemporary philosophy. Interventionists aim to give an account of how causal relations can be empirically discovered and described, without committing themselves to views about what causation really is. Causal powers theorists engage in precisely the latter project, aiming to describe the metaphysical structure of the world. In this paper, I argue that interventionism (...)
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  • Conjoined cases.Tomasz Wysocki - 2023 - Synthese 201 (6):1-19.
    Incorporating normality ascriptions into counterfactual theories of causation was supposed to handle isomorphs. It doesn’t—conjoining isomorphs can produce cases that such ascriptions cannot resolve.
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  • Absence and Abnormality.Bram Vaassen - 2023 - Analysis 83 (1):98-106.
    Absences pose a dilemma for theories of causation. Allowing them to be causes seems to make theories too permissive (Lewis, 2000). Banning them from being causes seems to make theories too restrictive (Schaffer, 2000, 2004). An increasingly popular approach to this dilemma is to acknowledge that norms can affect which absences count as causes (e.g., Thomson, 2003; McGrath, 2005; Henne et al., 2017; Willemsen, 2018). In this article, I distinguish between two influential implementations of such ‘abnormality’ approaches and argue that (...)
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  • How to construct Remainder Sets for Paraconsistent Revisions: Preliminary Report.Rafael Testa, Eduardo Fermé, Marco Garapa & Maurício Reis - 2018 - 17th INTERNATIONAL WORKSHOP ON NON-MONOTONIC REASONING.
    Revision operation is the consistent expansion of a theory by a new belief-representing sentence. We consider that in a paraconsistent setting this desideratum can be accomplished in at least three distinct ways: the output of a revision operation should be either non-trivial or non-contradictory (in general or relative to the new belief). In this paper those distinctions will be explored in the constructive level by showing how the remainder sets could be refined, capturing the key concepts of paraconsistency in a (...)
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  • Actual Causation.Enno Fischer - 2021 - Dissertation, Leibniz Universität Hannover
    In this dissertation I develop a pluralist theory of actual causation. I argue that we need to distinguish between total, path-changing, and contributing actual causation. The pluralist theory accounts for a set of example cases that have raised problems for extant unified theories and it is supported by considerations about the various functions of causal concepts. The dissertation also analyses the context-sensitivity of actual causation. I show that principled accounts of causal reasoning in legal inquiry face limitations and I argue (...)
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  • Philosophical Investigation Series: Selected Texts on Metaphysics, Language and Mind / Série Investigação Filosófica: Textos Selecionados de Metafísica, Linguagem e Mente.Rodrigo Cid & Pedro Merlussi (eds.) - 2020 - Pelotas: Editora da UFPel / NEPFIL Online.
    Um dos grandes desafios da era da informação consiste em filtrar informações claras, rigorosas e atualizadas sobre tópicos importantes. O mesmo vale para a filosofia. Como encontrar conteúdo filosófico confiável em meio a milhares de artigos publicados diariamente na internet? Para ir ainda mais longe, como encontrar uma introdução a algum tópico com uma lista de referências bibliográficas atualizadas e que seja organizada por um especialista da área? Já que você começou a ler este livro, é provável que tenha ouvido (...)
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  • Time and Singular Causation—A Computational Model.Simon Stephan, Ralf Mayrhofer & Michael R. Waldmann - 2020 - Cognitive Science 44 (7):e12871.
    Causal queries about singular cases, which inquire whether specific events were causally connected, are prevalent in daily life and important in professional disciplines such as the law, medicine, or engineering. Because causal links cannot be directly observed, singular causation judgments require an assessment of whether a co‐occurrence of two events c and e was causal or simply coincidental. How can this decision be made? Building on previous work by Cheng and Novick (2005) and Stephan and Waldmann (2018), we propose a (...)
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  • Explanatory priority monism.Isaac Wilhelm - 2020 - Philosophical Studies 178 (4):1339-1359.
    Explanations are backed by many different relations: causation, grounding, and arguably others too. But why are these different relations capable of backing explanations? In virtue of what are they explanatory? In this paper, I propose and defend a monistic account of explanation-backing relations. On my account, there is a single relation which backs all cases of explanation, and which explains why those other relations are explanation-backing.
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  • Pre-emption cases may support, not undermine, the counterfactual theory of causation.Robert Northcott - 2018 - Synthese 198 (1):537-555.
    Pre-emption cases have been taken by almost everyone to imply the unviability of the simple counterfactual theory of causation. Yet there is ample motivation from scientific practice to endorse a simple version of the theory if we can. There is a way in which a simple counterfactual theory, at least if understood contrastively, can be supported even while acknowledging that intuition goes firmly against it in pre-emption cases—or rather, only in some of those cases. For I present several new pre-emption (...)
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  • Intervention, Bias, Responsibility… and the Trolley Problem.Justin Sytsma & Jonathan Livengood - unknown
    In this paper, we consider three competing explanations of the empirical finding that people’s causal attributions are responsive to normative details, such as whether an agent’s action violated an injunctive norm—the intervention view, the bias view, and the responsibility view. We then present new experimental evidence concerning a type of case not previously investigated in the literature. In the switch version of the trolley problem, people judge that the bystander ought to flip the switch, but they also judge that she (...)
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  • Hasteners and delayers: why rains don’t cause fires.Caroline Torpe Touborg - 2018 - Philosophical Studies (7):1-20.
    We typically judge that hasteners are causes of what they hasten, while delayers are not causes of what they delay. These judgements, I suggest, are sensitive to an underlying metaphysical distinction. To see this, we need to pay attention to a relation that I call positive security-dependence, where an event E security-depends positively on an earlier event C just in case E could more easily have failed to occur if C had not occurred. I suggest that we judge that an (...)
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  • Folk intuitions of Actual Causation: A Two-Pronged Debunking Explanation.David Rose - 2017 - Philosophical Studies 174 (5):1323-1361.
    How do we determine whether some candidate causal factor is an actual cause of some particular outcome? Many philosophers have wanted a view of actual causation which fits with folk intuitions of actual causation and those who wish to depart from folk intuitions of actual causation are often charged with the task of providing a plausible account of just how and where the folk have gone wrong. In this paper, I provide a range of empirical evidence aimed at showing just (...)
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  • The Oxford Handbook of Causal Reasoning.Michael Waldmann (ed.) - 2017 - Oxford, England: Oxford University Press.
    Causal reasoning is one of our most central cognitive competencies, enabling us to adapt to our world. Causal knowledge allows us to predict future events, or diagnose the causes of observed facts. We plan actions and solve problems using knowledge about cause-effect relations. Without our ability to discover and empirically test causal theories, we would not have made progress in various empirical sciences. In the past decades, the important role of causal knowledge has been discovered in many areas of cognitive (...)
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  • A Defense of Causal Invariantism.Martin Montminy & Andrew Russo - 2016 - Analytic Philosophy 57 (1):49-75.
    Causal contextualism holds that sentences of the form ‘c causes e’ have context-sensitive truth-conditions. We consider four arguments invoked by Jonathan Schaffer in favor of this view. First, he argues that his brand of contextualism helps solve puzzles about transitivity. Second, he contends that how one describes the relata of the causal relation sometimes affects the truth of one’s claim. Third, Schaffer invokes the phenomenon of contrastive focus to conclude that causal statements implicitly designate salient alternatives to the cause and (...)
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  • Probability-lowering causes and the connotations of causation.Andrés Páez - 2013 - Ideas Y Valores 62 (151):43-55.
    A common objection to probabilistic theories of causation is that there are prima facie causes that lower the probability of their effects. Among the many replies to this objection, little attention has been given to Mellor's (1995) indirect strategy to deny that probability-lowering factors are bona fide causes. According to Mellor, such factors do not satisfy the evidential, explanatory, and instrumental connotations of causation. The paper argues that the evidential connotation only entails an epistemically relativized form of causal attribution, not (...)
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  • Causal Models and Metaphysics—Part 2: Interpreting Causal Models.Jennifer McDonald - 2024 - Philosophy Compass 19 (7):e13007.
    This paper addresses the question of what constitutes an apt interpreted model for the purpose of analyzing causation. I first collect universally adopted aptness principles into a basic account, flagging open questions and choice points along the way. I then explore various additional aptness principles that have been proposed in the literature but have not been widely adopted, the motivations behind their proposals, and the concerns with each that stand in the way of universal adoption. I conclude that the remaining (...)
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  • Mathematics and the world: explanation and representation.John-Hamish Heron - 2017 - Dissertation, King’s College London
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  • A competence framework for artificial intelligence research.Lisa Miracchi - 2019 - Philosophical Psychology 32 (5):588-633.
    ABSTRACTWhile over the last few decades AI research has largely focused on building tools and applications, recent technological developments have prompted a resurgence of interest in building a genuinely intelligent artificial agent – one that has a mind in the same sense that humans and animals do. In this paper, I offer a theoretical and methodological framework for this project of investigating “artificial minded intelligence” that can help to unify existing approaches and provide new avenues for research. I first outline (...)
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  • Actual Causation and Compositionality.Jonathan Livengood & Justin Sytsma - 2020 - Philosophy of Science 87 (1):43-69.
    Many theories of actual causation implicitly endorse the claim that if c is an actual cause of e, then either c causes e directly or every intermediary by which c indirectly causes e is itself both an actual cause of e and also an actual effect of c. We think this compositionality constraint is plausible. However, as we show, it is not always satisfied by the causal attributions ordinary people make. We conclude by considering what philosophers working on causation should (...)
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  • Causes As Difference‐Makers For Processes.Christian Loew - 2017 - Philosophy and Phenomenological Research 98 (1):89-106.
    It is natural to think of causes as difference-makers. What exact difference causes make, however, is an open question. In this paper, I argue that the right way of understanding difference-making is in terms of causal processes: causes make a difference to a causal process that leads to the effect. I will show that this way of understanding difference-making nicely captures the distinction between causing an outcome and helping determine how the outcome happens and, thus, explains why causation is not (...)
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  • Explanation and Manipulation.Alexander Prescott-Couch - 2017 - Noûs 51 (3):484-520.
    I argue that manipulationist theories of causation fail as accounts of causal structure, and thereby as theories of “actual causation” and causal explanation. I focus on two kinds of problem cases, which I call “Perceived Abnormality Cases” and “Ontological Dependence Cases.” The cases illustrate that basic facts about social systems—that individuals are sensitive to perceived abnormal conditions and that certain actions metaphysically depend on institutional rules—pose a challenge for manipulationist theories and for counterfactual theories more generally. I then show how (...)
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  • Woodward and variable relativity.Georgie Statham - 2018 - Philosophical Studies 175 (4):885-902.
    The aim of this paper is to determine whether and to what extent Woodward’s interventionist theory of causation is variable relative. In an influential review, Strevens has accused Woodward’s account of a damaging form of variable relativity, according to which obviously false causal claims can be made true by choosing a depleted variable set. Following McCain, I show that Strevens’ objection doesn’t succeed. However, Woodward also wants to avoid another kind of variable relativity, according to which it can be true (...)
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  • Probabilistic Actual Causation.Fenton-Glynn Luke - manuscript
    Actual causes - e.g. Suzy's being exposed to asbestos - often bring about their effects - e.g. Suzy's suffering mesothelioma - probabilistically. I use probabilistic causal models to tackle one of the thornier difficulties for traditional accounts of probabilistic actual causation: namely probabilistic preemption.
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  • Dynamic inference and everyday conditional reasoning in the new paradigm.Mike Oaksford & Nick Chater - 2013 - Thinking and Reasoning 19 (3-4):346-379.
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  • (1 other version)Following the FAD: Folk Attributions and Theories of Actual Causation.Jonathan Livengood, Justin Sytsma & David Rose - 2016
    Using structural equations and directed graphs, Christopher Hitchcock (2007a) proposes a theory specifying the circumstances in which counterfactual dependence of one event e on another event c is necessary and sufficient for c to count as an actual cause of e. In this paper, we argue that Hitchcock is committed to a widely-endorsed folk attribution desideratum (FAD) for theories of actual causation. We then show experimentally that Hitchcock’s theory does not satisfy the FAD, and hence, it is in need of (...)
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  • A Defense of the Contrastive Theory of Causation.Esteban Céspedes - 2015 - Critica 47 (140):93-99.
    An argument proposed by Steglich-Petersen (2012) establishes that while contrastive causation can be applied to general causation and causal explanation, it is a mistake to consider it in cases of singular causation. I attempt to show that there is no mistake. Steglich-Petersen’s argument does not seem to be strong enough and is actually circular. Furthermore, I briefly argue that even if we take his argument to be valid, there is still a response from the side of contrastive causation.
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  • A New Halpern-Pearl Definition of Actual Causality by Appealing to the Default World.Fan Zhu - 2022 - Axiomathes 32 (2):453-472.
    Halpern and Hitchcock appealed to the normality of witness worlds to solve the problem of isomorphism in the Halpern-Pearl definition of actual causality. This paper first proposes a new isomorphism counterexample, called “bogus permission,” to show that their approach is unsuccessful. Then, to solve the problem of isomorphism, I propose a new improvement over the Halpern-Pearl definition by introducing default worlds. Finally, I demonstrate that my new definition can resolve more potential counterexamples than similar approaches in the current literature, including (...)
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  • Comparative syllogism and counterfactual knowledge.Linton Wang & Wei-Fen Ma - 2014 - Synthese 191 (6):1327-1348.
    Comparative syllogism is a type of scientific reasoning widely used, explicitly or implicitly, for inferences from observations to conclusions about effectiveness, but its philosophical significance has not been fully elaborated or appreciated. In its simplest form, the comparative syllogism derives a conclusion about the effectiveness of a factor (e.g. a treatment or an exposure) on a certain property via an experiment design using a test (experimental) group and a comparison (control) group. Our objective is to show that the comparative syllogism (...)
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  • (1 other version)Following the FAD: Folk Attributions and Theories of Actual Causation.Jonathan Livengood, Justin Sytsma & David Rose - 2017 - Review of Philosophy and Psychology 8 (2):273-294.
    In the last decade, several researchers have proposed theories of actual causation that make use of structural equations and directed graphs. Many of these researchers are committed to a widely-endorsed folk attribution desideratum, according to which an important constraint on the acceptability of a theory of actual causation is agreement between the deliverances of the theory with respect to specific cases and the reports of untutored individuals about those same cases. In the present article, we consider a small collection of (...)
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