The other day I “wrote about”:http://tar.weatherson.org/2007/02/22/hall-on-causation/ Ned Hall’s recent theory of causation. I should have mentioned the reference for the paper. It’s “Structrural Equations and Causation”, _Philosophical Studies_ 132: 109-136. What I was really interested in in that paper was what Ned says about ‘short-circuits’. This is his name for causal structures like the following.
We have a causal pathway leading from A that will, if unchecked, result in E. C launches two causal pathways. The first of these, T, is a Threat to E. If unchecked it will cause D, and that will prevent E. In the examples to follow, E is the survival of Victim sometime after the events described, and D is (or would be if it occured) a particular death of Victim’s. Victim is merely the victim of misfortune in these stories; he always however survives. That’s because C also causes P, which Protects Victim from the threat, and Prevents D from happening.
Question: Does C cause E?
Answer 1 (Lewis): Yes. Causation is the ancestral of counterfactual dependence. And E is counterfactually dependent on P, which in turn is counterfactually dependent on C.
Answer 2 (Structural Equations Theory): Yes. It is sufficient for C to cause E that there is a related model in which E is counterfactually dependent on C. The model where we determine exogenously that T occurs is a model where E is counterfactually dependent on C, and is related in the right way to the actual model. So C causes E.
Answer 3 (Hall): No. C never produces a real threat to E, because it cancels itself out. So C does not cause E.
My answer: We just haven’t been given enough information. Some cases with this structure are cases where C causes E, and some are not. So everyone is wrong. Figuring out what separates the causal cases from the non-causal cases, or figuring out which features of a case and its presentation make us judge a case as causal or not, is really a very hard puzzle. Below the fold I’ll work through some hypotheses and theories.