A principle endorsed by many theories of objective chance, and practically forced on us by the standard interpretation of the Kolmogorov semantics for chance, is the principle that when a proposition P has a chance, any proposition Q that is necessarily equivalent to P will have the same chance as P. Call this principle SUB (for the substitution of necessary equivalents into chance ascriptions). I will present some problems for a theory of chance, and will argue that the best way (...) to resolve these problems is to reject SUB, and similar principles e.g. for the chances of outcomes or the chances of events. Objective chance, it turns out, carves things more finely than necessary equivalence does. (shrink)

Adam Elga has presented an anti-thermodynamic process as a counterexample to Lewis’s default semantics for counterfactuals. The outstanding reaction of Jonathan Schaffer and Boris Kment is revisionary. It sacrifices Lewis’s aim of defining causation in terms of counterfactual dependence. Lewis himself suggested an alternative: «counter-entropic funnybusiness» should make for dissimilarity. But how is this alternative to be spelled out? I discuss a recent proposal: include special science laws, among them the laws of thermodynamics. Although the proposal fails, it serves to (...) uncover the limits of Elga’s example. (shrink)

I argue that the past can be objectively chancy in cases of backwards causation, and defend a view of chance that allows for this. Using a case, I argue against the popular temporal view of chance, according to which chances are defined relative to times, and all chancy events must lie in the future. I then state and defend the causal view of chance, according to which chances are defined relative to causal histories, and all chancy events must lie causally (...) downstream. The causal view replicates the intuitively correct results of the temporal view in cases of ordinary forwards causation, while correctly handling cases of backwards causation. I conclude that objective chance is more closely related to the direction of causation than it is to the direction of time. (shrink)