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Structural equations and causation

Philosophical Studies 132 (1):109 - 136 (2007)

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  1. 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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  • Causal Models and Metaphysics - Part 2: Interpreting Causal Models.Jennifer McDonald - forthcoming - Philosophy Compass.
    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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  • Taking stock of regularity theories of causation.Marc Johansen - 2021 - Philosophy Compass 16 (5):e12735.
    This article takes stock of the regularity theory of causation. It considers three challenges to the theory: the problem of joint effects, the problems of redundant causation, and omission‐involving causation. The former is often cited as a special, and especially challenging, problem for regularity theories. But the force of this problem has been greatly overstated. The threat to regularity theories instead comes from the latter two.
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  • 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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  • Experimental Philosophy and Causal Attribution.Jonathan Livengood & David Rose - 2016 - In Justin Sytsma & Wesley Buckwalter (eds.), A Companion to Experimental Philosophy. Malden, MA: Wiley. pp. 434–449.
    Humans often attribute the things that happen to one or another actual cause. In this chapter, we survey some recent philosophical and psychological research on causal attribution. We pay special attention to the relation between graphical causal modeling and theories of causal attribution. We think that the study of causal attribution is one place where formal and experimental techniques nicely complement one another.
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  • A Ramsey Test Analysis of Causation for Causal Models.Holger Andreas & Mario Günther - 2021 - British Journal for the Philosophy of Science 72 (2):587-615.
    We aim to devise a Ramsey test analysis of actual causation. Our method is to define a strengthened Ramsey test for causal models. Unlike the accounts of Halpern and Pearl ([2005]) and Halpern ([2015]), the resulting analysis deals satisfactorily with both over- determination and conjunctive scenarios.
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  • Causation in terms of production.Holger Andreas & Mario Günther - 2020 - Philosophical Studies 177 (6):1565-1591.
    In this paper, we analyse actual causation in terms of production. The latter concept is made precise by a strengthened Ramsey Test semantics of conditionals: \ iff, after suspending judgement about A and C, C is believed in the course of assuming A. This test allows us to verify or falsify that an event brings about another event. Complementing the concept of production by a weak condition of difference-making gives rise to a full-fledged analysis of causation.
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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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  • 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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  • The Epistemology of Causal Selection: Insights from Systems Biology.Beckett Sterner - forthcoming - In C. Kenneth Waters & James Woodward (eds.), Philosophical Perspectives on Causal Reasoning in Biology. University of Minnesota Press.
    Among the many causes of an event, how do we distinguish the important ones? Are there ways to distinguish among causes on principled grounds that integrate both practical aims and objective knowledge? Psychologist Tania Lombrozo has suggested that causal explanations “identify factors that are ‘exportable’ in the sense that they are likely to subserve future prediction and intervention” (Lombrozo 2010, 327). Hence portable causes are more important precisely because they provide objective information to prediction and intervention as practical aims. However, (...)
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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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  • 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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  • Response to Strevens.Jim Woodward - 2008 - Philosophy and Phenomenological Research 77 (1):193-212.
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  • Responsibility in Context.Ann Whittle - 2018 - Erkenntnis 83 (2):163-183.
    Some have argued that our intuitive reactions to a number of cases of moral responsibility can only be preserved at the expense of a unified account of moral responsibility for acts and omissions. I argue against this conclusion, proposing that a plausible condition on responsibility, the Causal Condition can, when properly elaborated, justify the relevant intuitive data.
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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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  • 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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  • Causal Stability in Moral Contexts.Horia Tarnovanu - forthcoming - Journal of Value Inquiry:1-22.
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  • Indeterminacy in Causation.Eric Swanson - 2017 - Philosophical Quarterly 67 (268):606–624.
    I argue that there are some causal relata for which it is indeterminate whether one caused the other. Positing indeterminacy in causation helps us defend contested principles in the logic of causation and makes possible new ways of thinking about the theoretical impact of symmetric causal overdetermination. I close by discussing amendments of current theories of causation that would help explain causal indeterminacy.
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  • Indeterminacy in Causation.Eric Swanson - 2016 - Philosophical Quarterly 67 (268):606-624.
    I argue that there are some causal relata for which it is indeterminate whether one caused the other. Positing indeterminacy in causation helps us defend contested principles in the logic of causation and makes possible new ways of thinking about the theoretical impact of symmetric causal overdetermination. I close by discussing amendments of current theories of causation that would help explain causal indeterminacy.
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  • Inderterminacy in Causation.Eric Swanson - 2016 - Philosophical Quarterly 67 (268):606-624.
    I argue that there are some causal relata for which it is indeterminate whether one caused the other. Positing indeterminacy in causation helps us defend contested principles in the logic of causation and makes possible new ways of thinking about the theoretical impact of symmetric causal overdetermination. I close by discussing amendments of current theories of causation that would help explain causal indeterminacy.
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  • Causes and Categories.Nathanael Stein - 2016 - Noûs 50 (3):465-489.
    Philosophers discussing causation take on, as one of their responsibilities, the task of specifying an ontology of causation. Both standard and non-standard accounts of that ontology make two assumptions: that the ontological category of causal relata admits a unique specification, and that cause and effect are of the same ontological type. These assumptions are rarely made explicit, but there is in fact little reason to think them true. It is argued here that, if the question has any interest, there are (...)
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  • Normative commitments, causal structure, and policy disagreement.Georgie Statham - 2020 - Synthese 197 (5):1983-2003.
    Recently, there has been a large amount of support for the idea that causal claims can be sensitive to normative considerations. Previous work has focused on the concept of actual causation, defending the claim that whether or not some token event c is a cause of another token event e is influenced by both statistical and prescriptive norms. I focus on the policy debate surrounding alternative energies, and use the causal modelling framework to show that in this context, people’s normative (...)
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  • Contrastive Causal Claims: A Case Study.Georgie Statham - 2017 - British Journal for the Philosophy of Science 68 (3):663-688.
    ABSTRACT Contrastive and deviant/default accounts of causation are becoming increasingly common. However, discussions of these accounts have neglected important questions, including how the context determines the contrasts, and what shared knowledge is necessary for this to be possible. I address these questions, using organic chemistry as a case study. Focusing on one example—nucleophilic substitution—I show that the kinds of causal claims that can be made about an organic reaction depend on how the reaction is modelled, and argue that paying attention (...)
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  • Are There Non-Causal Explanations (of Particular Events)?Brdford Skow - 2013 - British Journal for the Philosophy of Science (3):axs047.
    Philosophers have proposed many alleged examples of non-causal explanations of particular events. I discuss several well-known examples and argue that they fail to be non-causal. 1 Questions2 Preliminaries3 Explanations That Cite Causally Inert Entities4 Explanations That Merely Cite Laws I5 Stellar Collapse6 Explanations That Merely Cite Laws II7 A Final Example8 Conclusion.
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  • Are There Non-Causal Explanations (of Particular Events)?Bradford Skow - 2014 - British Journal for the Philosophy of Science 65 (3):445-467.
    Philosophers have proposed many alleged examples of non-causal explana- tions of particular events. I discuss several well-known examples and argue that they fail to be non-causal.
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  • Grounding in the image of causation.Jonathan Schaffer - 2016 - Philosophical Studies 173 (1):49-100.
    Grounding is often glossed as metaphysical causation, yet no current theory of grounding looks remotely like a plausible treatment of causation. I propose to take the analogy between grounding and causation seriously, by providing an account of grounding in the image of causation, on the template of structural equation models for causation.
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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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  • Moral inertia.Carolina Sartorio - 2008 - Philosophical Studies 140 (1):117 - 133.
    I argue that, according to ordinary morality, there is moral inertia, that is, moral pressure to fail to intervene in certain circumstances. Moral inertia is manifested in scenarios with a particular causal structure: deflection scenarios, where a threatening or benefiting process is diverted from a group of people to another. I explain why the deflection structure is essential for moral inertia to be manifested. I argue that there are two different manifestations of moral inertia: strict prohibitions on interventions, and constraints (...)
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  • From responsibility to causation: The intransitivity of causation as a case study.Carolina Sartorio - 2023 - Philosophical Issues 33 (1):211-222.
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  • A good cause.Carolina Sartorio - forthcoming - Philosophical Studies:1-16.
    I explore the question of how to ground the responsibility of agents in some tricky cases involving multiple agents who act in a non-coordinated fashion. These are scenarios where no single agent has the individual ability to make a difference to a harmful outcome, but where the outcome would have been avoided if they had all acted as they should have (thus, the agents collectively made a difference to the outcome’s occurrence). I argue that an important source of the problem (...)
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  • Two causal theories of counterfactual conditionals.Lance J. Rips - 2010 - Cognitive Science 34 (2):175-221.
    Bayes nets are formal representations of causal systems that many psychologists have claimed as plausible mental representations. One purported advantage of Bayes nets is that they may provide a theory of counterfactual conditionals, such as If Calvin had been at the party, Miriam would have left early. This article compares two proposed Bayes net theories as models of people's understanding of counterfactuals. Experiments 1-3 show that neither theory makes correct predictions about backtracking counterfactuals (in which the event of the if-clause (...)
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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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  • 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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  • Events and their counterparts.Neil McDonnell - 2016 - Philosophical Studies 173 (5):1291-1308.
    This paper argues that a counterpart-theoretic treatment of events, combined with a counterfactual theory of causation, can help resolve three puzzles from the causation literature. First, CCT traces the apparent contextual shifts in our causal attributions to shifts in the counterpart relation which obtains in those contexts. Second, being sensitive to shifts in the counterpart relation can help diagnose what goes wrong in certain prominent examples where the transitivity of causation appears to fail. Third, CCT can help us resurrect the (...)
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  • Causal exclusion and the limits of proportionality.Neil McDonnell - 2017 - Philosophical Studies 174 (6):1459-1474.
    Causal exclusion arguments are taken to threaten the autonomy of the special sciences, and the causal efficacy of mental properties. A recent line of response to these arguments has appealed to “independently plausible” and “well grounded” theories of causation to rebut key premises. In this paper I consider two papers which proceed in this vein and show that they share a common feature: they both require causes to be proportional to their effects. I argue that this feature is a bug, (...)
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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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  • 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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  • Actual Causation and Simple Voting Scenarios.Jonathan Livengood - 2011 - Noûs 47 (2):316-345.
    Several prominent, contemporary theories of actual causation maintain that in order for something to count as an actual cause (in the circumstances) of some known effect, the potential cause must be a difference-maker with respect to the effect in some restricted range of circumstances. Although the theories disagree about how to restrict the range of circumstances that must be considered in deciding whether something counts as an actual cause of a known effect, the theories agree that at least some counterfactual (...)
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  • Just Probabilities.Chad Lee-Stronach - forthcoming - Noûs.
    I defend the thesis that legal standards of proof are reducible to thresholds of probability. Many have rejected this thesis because it seems to entail that defendants can be found liable solely on the basis of statistical evidence. I argue that this inference is invalid. I do so by developing a view, called Legal Causalism, that combines Thomson's (1986) causal analysis of evidence with recent work in formal theories of causal inference. On this view, legal standards of proof can be (...)
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  • Causal Responsibility and Counterfactuals.David A. Lagnado, Tobias Gerstenberg & Ro'I. Zultan - 2013 - Cognitive Science 37 (6):1036-1073.
    How do people attribute responsibility in situations where the contributions of multiple agents combine to produce a joint outcome? The prevalence of over-determination in such cases makes this a difficult problem for counterfactual theories of causal responsibility. In this article, we explore a general framework for assigning responsibility in multiple agent contexts. We draw on the structural model account of actual causation (e.g., Halpern & Pearl, 2005) and its extension to responsibility judgments (Chockler & Halpern, 2004). We review the main (...)
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  • Causation: Determination and difference-making.Boris Kment - 2010 - Noûs 44 (1):80-111.
    Much of the modern philosophy of causation has been governed by two ideas: (i) causes make their effects inevitable; (ii) a cause is something that makes a difference to whether its effect occurs. I focus on explaining the origin of idea (ii) and its connection to (i). On my view, the frequent attempts to turn (ii) into an analysis of causation are wrongheaded. Patterns of difference-making aren't what makes causal claims true. They merely provide a useful test for causal claims. (...)
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  • Decision, causality, and predetermination.Boris Kment - 2023 - Philosophy and Phenomenological Research 107 (3):638-670.
    Evidential decision theory (EDT) says that the choiceworthiness of an option depends on its evidential connections to possible outcomes. Causal decision theory (CDT) holds that it depends on your beliefs about its causal connections. While Newcomb cases support CDT, Arif Ahmed has described examples that support EDT. A new account is needed to get all cases right. I argue that an option A's choiceworthiness is determined by the probability that a good outcome ensues at possible A‐worlds that match actuality in (...)
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  • Structural equations and beyond.Franz Huber - 2013 - Review of Symbolic Logic 6 (4):709-732.
    Recent accounts of actual causation are stated in terms of extended causal models. These extended causal models contain two elements representing two seemingly distinct modalities. The first element are structural equations which represent the or mechanisms of the model, just as ordinary causal models do. The second element are ranking functions which represent normality or typicality. The aim of this paper is to show that these two modalities can be unified. I do so by formulating two constraints under which extended (...)
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  • Trumping and contrastive causation.Christopher Hitchcock - 2011 - Synthese 181 (2):227 - 240.
    Jonathan Schaffer introduced a new type of causal structure called 'trumping'. According to Schaffer, trumping is a species of causal preemption. Both Schaffer and I have argued that causation has a contrastive structure. In this paper, I analyze the structure of trumping cases from the perspective of contrastive causation, and argue that the case is much more complex than it first appears. Nonetheless, there is little reason to regard trumping as a species of causal preemption.
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  • Portable Causal Dependence: A Tale of Consilience.Christopher Hitchcock - 2012 - Philosophy of Science 79 (5):942-951.
    This article describes research pursued by members of the McDonnell Collaborative on Causal Learning. A number of members independently converged on a similar idea: one of the central functions served by claims of actual causation is to highlight patterns of dependence that are highly portable into novel contexts. I describe in detail how this idea emerged in my own work and also in that of the psychologist Tania Lombrozo. In addition, I use the occasion to reflect on the nature of (...)
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  • Structural equations and causation: six counterexamples.Christopher Hitchcock - 2009 - Philosophical Studies 144 (3):391-401.
    Hall [(2007), Philosophical Studies, 132, 109–136] offers a critique of structural equations accounts of actual causation, and then offers a new theory of his own. In this paper, I respond to Hall’s critique, and present some counterexamples to his new theory. These counterexamples are then diagnosed.
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  • Cause and Norm.Christopher Hitchcock & Joshua Knobe - 2009 - Journal of Philosophy 106 (11):587-612.
    Much of the philosophical literature on causation has focused on the concept of actual causation, sometimes called token causation. In particular, it is this notion of actual causation that many philosophical theories of causation have attempted to capture.2 In this paper, we address the question: what purpose does this concept serve? As we shall see in the next section, one does not need this concept for purposes of prediction or rational deliberation. What then could the purpose be? We will argue (...)
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  • Normal Causes for Normal Effects: Reinvigorating the Correspondence Hypothesis About Judgments of Actual Causation.Totte Harinen - 2017 - Erkenntnis 82 (6):1299-1320.
    There have been several recent attempts to model ordinary intuitions about actual causation by combining a counterfactual definition of the causal relation with an abnormality-based account of causal judgments. In these models, the underlying psychological theory is that people automatically focus on abnormal events when judging the actual causes of an effect. This approach has enabled authors such as Halpern and Hitchcock to capture an impressive array of ordinary causal intuitions. However, in this paper I demonstrate how these abnormality-based accounts (...)
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  • Counterfactual theories of causation and the problem of large causes.Jens Harbecke - 2020 - Philosophical Studies 178 (5):1647-1668.
    As is well-known, David Lewis’ counterfactual theory of causation is subject to serious counterexamples in ‘exceptional’ cases. What has not received due attention in the literature so far is that Lewis’ theory fails to provide necessary and sufficient conditions for causation in ‘ordinary’ cases, too. In particular, the theory suffers from the ‘problem of large causes’. It is argued that this problem may be fixed by imposing a minimization constraint, whilst this solution brings along substantial costs as well. In particular, (...)
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  • Structural equations and causation.Ned Hall - 2007 - Philosophical Studies 132 (1):109 - 136.
    Structural equations have become increasingly popular in recent years as tools for understanding causation. But standard structural equations approaches to causation face deep problems. The most philosophically interesting of these consists in their failure to incorporate a distinction between default states of an object or system, and deviations therefrom. Exploring this problem, and how to fix it, helps to illuminate the central role this distinction plays in our causal thinking.
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