If naturalism about our minds is true, then the correct account of intentionality is causal.
On a causal account of intentionality, our possession of an irreducible concept is caused by something which falls under that concept.
The concept of the numinous is irreducible.
Therefore, if naturalism about our minds is true, our possession of the concept of the numinous is caused by something numinous. (1–3)
If there is anything numinous, then naturalism in general is false.
If naturalism about our minds is not true, then naturalism in general is false.
So, naturalism in general is false. (4–6)
What do I mean by “the numinous”? Since I claim it to be irreducible, I had better not try to define it. But I can point to it by means of our experiences of the holy, the uncanny, etc.: see Rudolf Otto’s book on the holy.
I think the best objection to the argument is to say that numinous can be reduced to the negation of the natural. But that objection seems to me to be mistaken. Imagine some simple particle-like thing that doesn’t interact with anything else in a way that is governed by the laws of nature. That thing wouldn’t be numinous. Likewise, not all magic is numinous: quite a bit of the magic in the Harry Potter stories is not numinous at all (there is nothing numinous about the chocolate frogs).