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- Philip Percival (1999). A Note on Lewis on Counterfactual Dependence in a Chancy World. Analysis 59 (3):165–173.
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John Hawthorne in a recent paper takes issue with Lewisian accounts of counterfactuals, when relevant laws of nature are chancy. I respond to his arguments on behalf of the Lewisian, and conclude that while some can be rebutted, the case against the original Lewisian account is strong. I develop a neo-Lewisian account of what makes for closeness of worlds. I argue that my revised version avoids Hawthorne's challenges. I argue that this is closer to the spirit of Lewis's first (non-chancy) proposal than is Lewis's own suggested modification.
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.
Over the past few decades analyses of causation have proliferated in almost immeasurable abundance, and with two things in common; firstly, they make much of counterfactual dependence, and secondly, none of them successfully handle all the pre-emption cases. In this thesis, I fore-mostly investigate David Lewis’ promising counterfactual analyses of causation (along with many others), and provide an extensive examination of pre-emption cases. I also offer my own counterfactual analysis of causation, which I argue can handle the problematic pre-emption cases, and therein succeed where so many other prominent analyses of causation have failed. I then conclude with some morals for the continuing debate.
No categories
The relation between chance and actuality gives rise to a puzzle. On the one hand, it may be a chancy matter what will actually happen. On the other hand, the standard semantics for ‘actually’ implies that sentences beginning with ‘actually’ are never contingent. To elucidate the puzzle, I defend a kind of objective semantic indeterminacy: in a chancy world, it may be a chancy matter which proposition is expressed by sentences containing ‘actually’. I bring this thesis to bear on certain counter-examples, proposed by Hawthorne and Lasonen-Aarnio, to Lewis' ‘principal principle’.
Chancy counterfactuals are a headache. Dylan Dodd (2009) presents an interesting argument against a certain general strategy for accounting for them, instances of which are found in the appendices to Lewis (1979) and in Williams (2008). I will argue (i) that Dodd’s understates the counterintuitiveness of the conclusions he can reach; (ii) that the counterintuitiveness can be thought of as an instance of more general oddities arising when we treat vagueness and indeterminacy in a classical setting; and (iii) the underlying source of discontent which animates Dodd’s complains is to be found in a certain general constraint one might impose on conditionals—what I’ll call the counterfactual Ramsey bound. Unfortunately, the counterfactual Ramsey bound is just as problematic as its famous indicative cousin. The moral is that there’s no comfortable resting place in this area; for violations of the counterfactual Ramsey bound are going to lead to prima facie surprising results.
In “Counterfactual Dependence and Time’s Arrow,” David Lewis defends an analysis of counterfactuals intended to yield the asymmetry of counterfactual dependence: that later affairs depend counterfactually on earlier ones, and not the other way around. I argue that careful attention to the dynamical properties of thermodynamically irreversible processes shows that in many ordinary cases, Lewis’s analysis fails to yield this asymmetry. Furthermore, the analysis fails in an instructive way: one that teaches us something about the connection between the asymmetry of overdetermination and the asymmetry of entropy.
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.
I introduce and defend the semantic notion of counterfactual identity, distinguishing it from the metaphysical notion of transworld identity. After showing that Lewis’s counterpart theory misconstrues counterfactual identity facts, I outline and motivate a Leibnizian counterpart theory where the notion of counterfactual identity is adequately modeled. Finally, I show that counterfactual identity can be characterized without relying on some implausible features of Lewis’s theory of conditionals.
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