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the basic physical laws are statistical and probabilistic. They only allow us to infer from one<br />

brain-event B 1 that it was (physically) very probable that a subsequent brain-event B 2 would<br />

occur… But this would leave open the possibility that the explanation of the occurrence of<br />

brain-event B 2 correlated with intention I 2 was to be explained fully by the joint action of brain-<br />

event B 1 and intention I 2.<br />

In other words, quantum theory’s stochastic nature means we cannot rule out the possi-<br />

bility that mental events are having some effect on the causative connections between brain<br />

events. But this difficulty applies to any statistical scientific theory – perhaps our under-<br />

standing of thermodynamics, based on the probabilistic motions of molecules, is missing the<br />

influence of unspecified hidden factors. In any event, as already mentioned, a non-theistic<br />

explanation need not rule out mental causation – in concluding this paper, I will briefly ex-<br />

plain how quantum theory has led some philosophical scientists to incorporate agent-based<br />

causation into a naturalistic world-view.<br />

Positing Fundamental Laws<br />

Swinburne puts most store by the problems he says science will experience in the third<br />

stage. He describes how this would have to proceed (169):<br />

We could then have a dictionary in which, observing a man’s brain-events, we could look up<br />

and see which mental events he now had. Would all this mean that we had got a scientific ex-<br />

planation of the existence of mental events, intentions, beliefs, and indeed persons? I think not.<br />

For to explain the existence of mental events we need to cite not merely the cause, the brain-<br />

event, which apparently brings about the mental event, but also the scientific law in virtue of<br />

which the brain-event brings about the mental event.<br />

After citing the same epistemic limitations as before, he proceeds to elucidate the core<br />

problem, which I quote selectively at length (170–1):<br />

Infinitely many totally different theories about unobservables can be constructed which pre-<br />

dict the same events as each other… The evidence that one of them is the true theory lies in<br />

simplicity, the naturalness of the connections in the laws which it postulates…<br />

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