As is his inimitable, charming wont, Mike Flynn eviscerates eliminative materialism in the nicest possible way. A summa:
Science is a filter, much like a fishing net; but we mustn’t conclude from the fish caught in the net the sizes of fishes in the deep blue sea. Yet some people reason that if science cannot distinguish between the mechanistic and the volitional, everything at bottom must be mechanistic. The apparently volitional is “really” mechanical. But surely it is just as reasonable to conclude that everything is at bottom volitional. The apparently mechanical is “really” the working out of a Will. At least from the scientific perspective you cannot prove otherwise.
Flynn is one of the most amiable rapiers you are ever likely to encounter. Feser cheerfully and relentlessly obliterates his adversaries, pounding their smithereens into dust; Flynn just lops off their legs, in such a gentlemanly fashion as to make it seem as though he is doing them a favor.