This reminds me of the scene in the movie contact when Ellie tells Palmer that in order for her to believe in God, she needed some kind of verifiable proof.
Palmer - "Proof.. Did you love your father?"
Ellie - "Yes, very much so."
Palmer - "Prove it."
There are just some things in life that are beyond the realm of being rationally explainable.
I don't know if there's a God. I am not naive enough to believe that one day I'll be able to know for certain whether he is there or not.
In a related note, I've become more and more fascinated with the subject of ghosts. If they actually do exists, it would pretty much prove substance dualism is real and would therefore legitimize the idea that a higher power might just be at work!