/lit/ - Literature

Question: what, if any, is the materialist explanation for supernatural phenomena?

I'm talking about ghosts and such. Psychic abilities, spiritual occurrances, immaterial beings such as fairies, and so on.

I realize the obvious move is to deny that any of it is real, but for me this is not sufficient. There seems to be ample evidence that there's something to the influence of the immaterial on the material world. Sure, there are plenty of false examples and frauds, but the stuff that can't be explained away as a fraud or a fake constitutes such a significant body of evidence so far that I feel like it has to be accounted for.

Is there a materalist explanation for supernatural happenings?