I agree. I continually want to ask
@Gubiosak to point on the doll to where science touched him. Science is reasonably good (and increasingly better) at answering the kinds of questions science can answer. That's not meant to be a tautology. And properly conducted as a virtuous cycle, it avoid logical circularity by being grounded to confirmatory observation. Knowledge obtained by the scientific method must result in a prediction whose truth can be observed. And a failure to make that connection results in refining the process until it works better. The notion that empiricism lacks some sort of magical grant of
a priori validity is ultimately unimportant. As
@Dave Rogers pointed out, if you propose to ask that question fairly, then you have to conclude we can know nothing, since all knowledge is similarly hobbled. Therefore it's just solipsism with an unconvincing coat of paint.
It turns out that questions like, "Does God exist?" (or ghosts or aliens or whatever paranormal claim is being made) are the kind science is good at answering. Attempts to place those propositions outside the grasp of empiricism commit the error of putting one foot in the boat while keeping one foot on the dock. Advocates want the real-world causations that paranormal or supernatural propositions entail, but they don't want them to be subject to the same standards of proof as other real-world causations. You can wave all the philosophy books you want, but it still comes down to straightforward special pleading.