If we seek to analyse causation in terms of counterfactual conditionals then we must assume that there is a class of counterfactuals whose members (i) are all and only those we need to support our judgements of causation, (ii) have truth-conditions specifiable without any irreducible appeal to causation. I argue that (i) and (ii) are unlikely to be met by any counterfactual analysis of causation. I demonstrate this by isolating a class of counterfactuals called non-projective counterfactuals, or NP-counterfactuals, and indicate (...) how counterfactual analyses of causation must appeal to them to account for the correct causal judgements we make. I show that the truth-conditions of NP-counterfactuals are specifiable only by irreducible appeal to causation. A dilemma then holds: if counterfactual analyses of causation eschew appeal to NP-counterfactuals they are empirically inadequate, but if they appeal to NP-counterfactuals they are circular and thus conceptually inadequate. (shrink)

The article deals with one particular problem created by the counterfactual analysis of causality à la Lewis, namely the context-sensitivity problem or, as I prefer to call it, the background condition problem. It appears that Lewis’ counterfactual definition of causality cannot distinguish between proper causes and mere causal conditions – i.e. factors necessary for the effect to occur, but commonly not seen as causally efficacious. The proposal is put forward to amend the Lewis definition with a condition, based on the (...) notion of cotenability, which would eliminate the problem. It is shown that the corrected definition of causality leads to the transitivity of the causal relation. Possible objections to the proposed solution, involving the assumption of indeterminism and the preemption cases, are given a thorough consideration. (shrink)

Despite recent efforts to improve on counterfactual theories of causation, failures to explain how effects depend on their causes are still manifest in a variety of cases. In particular, theories that do a decent job explaining cases of causal preemption have problems accounting for cases of causal intransitivity. Moreover, the increasing complexity of the counterfactual accounts makes it difficult to see why the concept of causation would be such a central part of our cognition. In this paper, I propose an (...) account of our causal thinking that not only explains the hitherto puzzling variety of causal judgments, but also makes it intelligible why we would employ such an elusive concept. (shrink)

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 (...) overarching relation is not independent of the obtaining of the intermediaries. On the other hand, in favour of Sometimes , often we seem not to treat events that are very spatiotemporally remote from an effect as its causes, even when connected to the effect in question by a chain of counterfactual or chance-raising dependence. Moreover cases of double prevention provide counterexamples to causal transitivity even over short chains. According to the argument of this paper, causation is non-transitive. Transitizing causation provides no viable account of causal redundancy. An unselective approach to causation may motivate resisting the distance counterexamples to transitivity, but it does not help with double prevention, and even makes it more intractable. The strongest point in favour of transitivity is the adding up of causal relations, and this is the point that extant non-transitizing analyses have not adequately addressed. I propose a necessary condition on causation that explains the adding up phenomenon. In doing so it also provides a unifying explanation of distance and double prevention counterexamples to transitivity. (shrink)

The counterfactual analysis of causation has focused on one particular counterfactual conditional, taking as its starting-point the suggestion that C causes E iff (C E). In this paper, some consequences are explored of reversing this counterfactual, and developing an account starting with the idea that C causes E iff (E C). This suggestion is discussed in relation to the problem of pre-emption. It is found that the 'reversed' counterfactual analysis can handle even the most difficult cases of pre-emption with only (...) minimal complications. The paper closes with a discussion of the wider philosophical implications of developing a reversed counterfactual analysis, especially concerning the differentiation of causes from causal conditions, causation by absences, and the extent to which causes suffice for their effects. (shrink)

Jonardon Ganeri, Paul Noordhof, and Murali Ramachandran (1996) have proposed a new counterfactual analysis of causation. We argue that this – the PCA-analysis – is incorrect. In section 1, we explain David Lewis’s first counterfactual analysis of causation, and a problem that led him to propose a second. In section 2 we explain the PCA-analysis, advertised as an improvement on Lewis’s later account. We then give counterexamples to the necessity (section 3) and sufficiency (section 4) of the PCA-analysis.

Recently Stephen Barker has raised stimulating objections to the thesis that, roughly speaking, if two events stand in a relation of counterfactual dependence, they stand in a causal relation. As Ned Hall says, however, this thesis constitutes the strongest part of the counterfactual analysis of causation. Therefore, if successful, Barker’s objections will undermine the cornerstone of the counterfactual analysis of causation, and hence give us compelling reasons to reject the counterfactual analysis of causation. I will argue, however, that they do (...) not withstand scrutiny. (shrink)

In this paper, I will first clarify Lewis’s influence theory of causation by relying on his theory of events. And then I will consider Michael Strevens’s charge against the sufficiency of Lewis’s theory. My claim is that it is legitimate but does not pose as serious a problem for Lewis’s theory as Strevens thinks because Lewis can surmount it by limiting the scope of his theory to causation between concrete events. Michael Strevens raises an alleged counterexample to the necessity of (...) Lewis’s theory that, if successful, would have a very important advantage over other alleged counterexamples. But I will assert that it is simply mistaken. My defense of Lewis’s theory will shed interesting light on the relationship between Lewis’s theory and Salmon’s mark theory. (shrink)

A counterfactual is a conditional statement in the subjunctive mood. For example: If Suzy hadn’t thrown the rock, then the bottle wouldn’t have shattered. The philosophical importance of counterfactuals stems from the fact that they seem to be closely connected to the concept of causation. Thus it seems that the truth of the above conditional is just what is required for Suzy’s throw to count as a cause of the bottle’s shattering. If philosophers were reluctant to exploit this idea prior (...) to 1970, it was because of a widespread feeling that the truth-conditions of the counterfactual conditional were not sufficiently well understood. The development of a formal semantics for counterfactuals by Robert Stalnaker [1968] and David Lewis [1973b] stands as a major recent achievement in philosophical logic. (shrink)

Among the many philosophers who hold that causal facts1 are to be explained in terms of—or more ambitiously, shown to reduce to—facts about what happens, together with facts about the fundamental laws that govern what happens, the clear favorite is an approach that sees counterfactual dependence as the key to such explanation or reduction. The paradigm examples of causation, so advocates of this approach tell us, are examples in which events c and e—the cause and its effect—both occur, but: had (...) c not occurred, e would not have occurred either. From this starting point ideas proliferate in a vast profusion. But the remarkable disparity among these ideas should not obscure their common foundation. Neither should the diversity of opinion about the prospects for a philosophical analysis of causation obscure their importance. For even those philosophers who see these prospects as dim—perhaps because they suffer post-Quinean queasiness at the thought of any analysis of any concept of interest—can often be heard to say such things as that causal relations among events are somehow “a matter of” the patterns of counterfactual dependence to be found in them. It was not always so. Thirty-odd years ago, so-called “regularity” analyses (so-called, presumably, because they traced back to Hume’s well-known analysis of causation as constant conjunction) ruled the day, with Mackie’s Cement of the Universe embodying a classic statement. But they fell on hard times, both because of internal problems—which we will review in due course—and because dramatic improvements in philosophical understanding of counterfactuals made possible the emergence of a serious and potent rival: a counterfactual analysis of causation resting on foundations firm enough to be repel the kind of philosophical suspicion that had formerly warranted dismissal.. (shrink)

Thirty years after Lewis's paper, this book brings together some of the most important recent work connecting—or, in some cases, disputing the connection ...

The thesis that a temporal asymmetry of counterfactual dependence characterizes our world plays a central role in Lewis’s philosophy, as. among other things, it underpins one of Lewis most renowned theses—that causation can be analyzed in terms of counterfactual dependence. To maintain that a temporal asymmetry of counterfactual dependence characterizes our world, Lewis committed himself to two other theses. The first is that the closest possible worlds at which the antecedent of a counterfactual conditional is true is one in which (...) a small miracle occurs—i.e. one whose laws differ from the actual laws in a small spatiotemporal region. The second is that our world is characterized by a temporal asymmetry of miracles. In this paper, I will argue, first, that the latter thesis is either false or incompatible with the picture of the relations among temporal asymmetries endorsed by Lewis and, second, that former thesis conflicts with some of the intuitions which seem to guide us when engaging in counterfactual reasoning. If there is any fact of the matter as to which possible worlds in which the antecedent of a counterfactual conditional is true are closest to the actual world, these are not worlds at which a small miracle occurs. (shrink)

I compare the failure of counterfactual dependence as a criterion of event causation to the failure of stochastic dependence as a criterion of causal law. Counterexamples to the stochastic analysis arise from cases of Simpson's Paradox, and Nancy Cartwright has suggested a way of transforming the stochastic analysis into something that avoids these counterexample. There is an analogical relationship between cases of Simpson's Paradox and cases of causal overdetermination. I exploit this analogical relationship to motivate my own view about the (...) connection between counterfactuals and event causation. According to my view, counterfactuals and event causation are intimately connected by a principle which falls short of being an analysis but which, as I show, correctly handles not only overdetermination but common causes as well. (shrink)

David Lewis modified his original theory of causation in response to the problem of ‘late preemption’ (see 1973b; 1986b: 193-212). However, as we will see, there is a crucial difference between genuine and preempted causes that Lewis must appeal to if his solution is to work. We argue that once this difference is recognized, an altogether better solution to the preemption problem presents itself.

A collection of important recent work on thecounterfactual analysis of causation.

Lewis's work on causation was governed by a familiar methodological approach: the aim was to come up with an account of causation that would recover, in as elegant a fashion as possible, all of our firm “pre‐theoretic” intuitions about hypothetical cases. That methodology faces an obvious challenge, in that it is not clear why anyone not interested in the semantics of the English word “cause” should care about its results. Better to take a different approach, one which treats our intuitions (...) about cases merely as guides in the construction of a causal concept or concepts that will serve some useful theoretical purpose. I sketch one central such purpose, suggesting, first, that an account of causation that, like Lewis's, gives a central role to counterfactuals is well‐suited to fulfill it, and, second, that the most famous pre‐emption‐based counterexamples to a counterfactual account yield an important constraint on a successful account. (shrink)

This paper presents an attempt to integrate theories of causal processes—of the kind developed by Wesley Salmon and Phil Dowe—into a theory of causal models using Bayesian networks. We suggest that arcs in causal models must correspond to possible causal processes. Moreover, we suggest that when processes are rendered physically impossible by what occurs on distinct paths, the original model must be restricted by removing the relevant arc. These two techniques suffice to explain cases of late preëmption and other cases (...) that have proved problematic for causal models. (shrink)

How are causal judgements such as 'The ice on the road caused the traffic accident' connected with counterfactual judgements such as 'If there had not been any ice on the road, the traffic accident would not have happened'? This volume throws new light on this question by uniting, for the first time, psychological and philosophical approaches to causation and counterfactuals. Traditionally, philosophers have primarily been interested in connections between causal and counterfactual claims on the level of meaning or truth-conditions. More (...) recently, however, they have also increasingly turned their attention to psychological connections between causal and counterfactual understanding or reasoning. At the same time, there has been a surge in interest in empirical work on causal and counterfactual cognition amongst developmental, cognitive, and social psychologists--much of it inspired by work in philosophy. In this volume, twelve original contributions from leading philosophers and psychologists explore in detail what bearing empirical findings might have on philosophical concerns about counterfactuals and causation, and how, in turn, work in philosophy might help clarify the issues at stake in empirical work on the cognitive underpinnings of, and relationships between, causal and counterfactual thought. (shrink)

Causal inference in the empiricalsciences is based on counterfactuals. The mostcommon approach utilizes a statistical model ofpotential outcomes to estimate causal effectsof treatments. On the other hand, one leadingapproach to the study of causation inphilosophical logic has been the analysis ofcausation in terms of counterfactualconditionals. This paper discusses and connectsboth approaches to counterfactual causationfrom philosophy and statistics. Specifically, Ipresent the counterfactual account of causationin terms of Lewis's possible-world semantics,and reformulate the statistical potentialoutcome framework using counterfactualconditionals. This procedure highlights variousproperties and (...) mechanisms of the statisticalmodel. (shrink)

In his ‘Causation as Influence’,1 David Lewis proposed a counterfactual theory of cause which was designed to improve on his previous account.2 Here I offer counter-examples to this new account, involving early preemption and late preemption, and a revised account, which is no longer an influence theory, that handles those counter-examples.

David Lewis’s counterfactual analysis of cause consisted of the counterfactual conditional closed under transitivity.2 Namely, a sufficient condition for A’s being a cause of C is that ∼A > ∼C be true; and a necessary as well as sufficient condition is that there be a series of true counterfactuals ∼A > ∼E1, ∼E1 > ∼E2, . . . , ∼En >∼C (n > 0).

This paper is an investigation into the notion of degree of influence, and its application to the problem of pre-emption. In 'Causation as Influence', Lewis presented a new account of causation under determinism and some new observations on the problem of pre-emption. He claimed that, in cases of pre-emption, the pre-empting cause is much more of a cause than its pre-empted alternative; it has much more influence. I begin by trying to make sense of the notion of degree of influence. (...) Then I emend Lewis's approach to pre-emption in response to objections, compare it to Kvart's Sustainably Reducible Influence account, and finally conclude that all these accounts fail to solve the problem of pre-emption. (shrink)

I propose an amendment of Lewis's counterfactual analysis of causation, designed to overcome some difficulties concerning redundant causation.

The basic idea of counterfactual theories of causation is that the meaning of causal claims can be explained in terms of counterfactual conditionals of the form “If A had not occurred, C would not have occurred”. While counterfactual analyses have been given of type-causal concepts, most counterfactual analyses have focused on singular causal or token-causal claims of the form “event c caused event e”. Analyses of token-causation have become popular in the last thirty years, especially since the development in the (...) 1970's of possible world semantics for counterfactuals. The best known counterfactual analysis of causation is David Lewis's (1973b) theory. However, intense discussion over thirty years has cast doubt on the adequacy of any simple analysis of singular causation in terms of counterfactuals. Recent years have seen a proliferation of different refinements of the basic idea to achieve a closer match with commonsense judgements about causation. (shrink)

This paper examines a promising probabilistic theory of singular causation developed by David Lewis. I argue that Lewis' theory must be made more sophisticated to deal with certain counterexamples involving pre-emption. These counterexamples appear to show that in the usual case singular causation requires an unbroken causal process to link cause with effect. I propose a new probabilistic account of singular causation, within the framework developed by Lewis, which captures this intuition.

Counter factual theories of Causation have had problems with cases of probabilistic causation and preemption. I put forward a counterfactual theory that seems to deal with these problematic cases and also has the virtue of providing an account of the alleged asymmetry between hasteners and delayers: the former usually being counted as causes, the latter not. I go on to consider a new type of problem case that has not received so much attention in the literature, those I dub catalysts (...) and anti-catalysts, and show how my account needs to be adjusted to deliver the right verdicts in these cases. The net result is a particular conception of a cause that I try to spell out in the closing section of the paper. In that section, I also briefly discuss causal asymmetry and the purpose behind providing a counterfactual theory of causation. (shrink)

In response to counterexamples involving late preemption, David Lewis (1986) revised his original (1973) counterfactual analysis of causation to include the notion of quasi-dependence. Jonardon Ganeri, Paul Noordhof and Murali Ramachandran (1998) argue that their ‘PCA*-analysis’ of causation solves the problem of late preemption and is superior to Lewis’s analysis. I show that neither quasi-dependence nor the PCA*-analysis solves the problem of late preemption.

Counterfactual analyses of causation can provide elegant analyses of many cases of causation. However, they fail to give intuitively correct analyses of cases involving a commonplace variety of late preemptive causation. I argue that a small emendation can solve the problem.

The volume offers an overview of current research in ontology, distinguishing basic conceptual issues, domain applications, general frameworks, and mathematical ...

On David Lewis's original analysis of causation, c causes e only if c is linked to e by a chain of distinct events such that each event in the chain (counter-factually) depends on the former one. But this requirement precludes the possibility of late pre-emptive causation, of causation by fragile events, and of indeterministic causation. Lewis proposes three different strategies for accommodating these three kinds of cases, but none of these turn out to be satisfactory. I offer a single analysis (...) of causation that resolves these problems in one go but which respects Lewis's initial insights. One distinctive feature of my account is that it accommodates indeterministic causation without resorting to probabilities. (shrink)

Which factors influence the folk application of the concept of causation? Knobe has argued that causal judgments are primarily influenced by the moral valence of the behavior under consideration. Whereas Driver has pointed out that the data Knobe relies on can also be used to support the claim that it is the atypicality of the agent's behavior that influences our willingness to assign causality to that agent. While Knobe and Fraser have provided a further study to address the cogency of (...) this alternative explanation, we argue that they have not provided a complete analysis. We present a variation on this study that addresses the relation between atypical and moral considerations as they contribute to the application of the concept causation. Our results indicate that atypicality cannot be ignored in an analysis of the folk concept of causation. That is, Knobe and Fraser's response to Driver is inadequate. (shrink)

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.

David Lewis’s semantics for counterfactuals remains the standard view. Yet counter-examples have emerged, which suggest a need to invoke causal independence, and thus threaten conceptual circularity. I will review some of these counter-examples (§§1–2), illustrate how causal independence proves useful (§3), and suggest that any resulting circularity is unproblematic (§4).

Causation, says David Lewis now, is to be understood as the ancestral of counterfactual influence, where C influences E (roughly) iff little changes in C map onto big changes in E. I argue that the influence account provides neither necessary nor sufficient conditions for causation, and suggest that what is missing is the notion of effluence, or physical connection.

Causation, according to David Hume, is one of the three fundamental conceptual relations (along with resemblance and contiguity), and is the foundation of all reasoning concerning matters of fact. Causation, according to various contemporary philosophers, is required for the analysis of metaphysical concepts such as persistence, scientific concepts such as explanation and disposition, epistemic concepts such as perception and warrant, ethical concepts such as action and responsibility, legal concepts such as homicide and negligence, mental concepts such as functional role and (...) conceptual content, and linguistic concepts such as reference, to name just a salient few. Yet the nature of the causal relation itself remains mysterious. (shrink)

Extant counterfactual accounts of causation (CACs) still cannot handle preemptive causation. I describe a new variety of preemption, defend its possibility, and use it to show the inadequacy of extant CACs. Imagine that it is a law of nature that the first spell cast on a given day match the enchantment that midnight.

This book is written by someone who holds that physics and the metaphysics of cause and law broadly strive to achieve a common goal: to undstand what our physical system is constituted by, and both how, and why it evolves in the way that it does. It seems to me that the primary tools of the scientist are empirical evidence, mathematics, and although this is perhaps less appreciated, imagination - these are fundamental to any great scientific breakthrough. For us, the (...) metaphysicians, imagination, science, and a priori reasoning form the foundation of our enquiries. I believe that for the metaphysician, reasoning without due consideration of science will inevitably lead to unjustified, and probably false conclusions. In this thesis I provide an analysis of a number of metaphysics of cause and law, as well as a conceptual analysis of both, to show how closely a consistent account of causation must be linked with laws of nature. I then attempt to give metaphysics explanations of our best scientific theories(in particular, least action principles and the general theory of relativity) in terms of the metaphysical views discussed, in order to judge their compatibility with science. I conclude that any successful metaphysic will be a broadly Humean one. (shrink)

For at least three decades, philosophers have argued that general causation and causal explanation are contrastive in nature. When we seek a causal explanation of some particular event, we are usually interested in knowing why that event happened rather than some other specified event. And general causal claims, which state that certain event types cause certain other event types, seem to make sense only if appropriate contrasts to the types of events acting as cause and effect are specified. In recent (...) years, philosophers have extended the contrastive theory of causation to encompass singular causation as well. In this article, I argue that this extension of the theory was a mistake. Although general causation and causal explanation may well be contrastive in nature, singular causation is not. (shrink)

Causation is of undeniable importance to our understanding of, and interaction with our surroundings. Despite this, the correct understanding of causation remains subject to considerable philosophical controversy. In this article, I introduce the most influential philosophical theories of causation, and provide an overview of the main difficulties that has led to the currently most popular versions of these theories.

Here is a simple counterexample to David Lewis’s causal influence account of causation, one that is especially illuminating due to its connection to what Lewis himself writes: it is a variant of his trumping example.

We present a probabilistic extension to active path analyses of token causation (Halpern & Pearl 2001, forthcoming; Hitchcock 2001). The extension uses the generalized notion of intervention presented in (Korb et al. 2004): we allow an intervention to set any probability distribution over the intervention variables, not just a single value. The resulting account can handle a wide range of examples. We do not claim the account is complete --- only that it fills an obvious gap in previous active-path approaches. (...) It still succumbs to recent counterexamples by Hiddleston (2005), because it does not explicitly consider causal processes. We claim three benefits: a detailed comparison of three active-path approaches, a probabilistic extension for each, and an algorithmic formulation. (shrink)

One part of the true theory of actual causation is a set of conditions responsible for eliminating all of the non-causes of an effect that can be discerned at the level of counterfactual structure. I defend a proposal for this part of the theory.

I explore the connections between the idea that causes must be proportional to their effects, the idea that causation is contrastive, and the idea that more general explanations are superior in one respect to less general explanations.