Rival accounts of (singular) causation:
Many rival theories, such as acquaintance-based theories or the “Canberra plan” for causation, face the two problems.
Whether part of, or even all, causal relations are indeterministic is a contingent matter to be studied by theoretical physics.
Probabilistic version of counterfactual analysis: “C occurs, E has a certain chance (objective single-case probability) of occurring, and as it happens E does occur; but without C, E’s chance would have been less.”
Problem: Event A may raise the probability of event B without “causing” it (in the sense that we intuitively do not think A causes B in this case). It is hard to find a noncircular way to distinguish causal instances of probability-raising from non-causal ones (noncircular in the sense of not appealing to causal notions).
One terrorist places an unreliable bomb—a genuinely indeterministic device—on Flight 13; another terrorist places an unreliable bomb on Flight 17. As it happens, the bomb on Flight 13 goes off and the bomb on Flight 17 doesn’t. The Age runs a headline: ‘‘Airline bomb disaster.’’ The headline would have been just the same if it had been the bomb on Flight 17 that went off, or if it had been both. So the bomb on Flight 17 raised the probability of the headline, but certainly didn’t cause it. We want to say that the raising that counts is the raising of the probability of the causal chain of events and absences whereby the effect was actually caused. Raising the probability of some unactualized alternative causal chain leading to the same effect doesn’t count. But it would be circular to say it that way within an analysis of causation.