with what is natural? You want mathematical proof for supernatural claims: yet how can something supernatural like all the miracles be even proven with all the raw materials that we have at our disposal on earth? I don't see how. For example, if a jug levitates in Times Square right now and continues to do so for ever onward, how can it be proven that it is supernatural? It can't. Not unless we rule out every single possible natural occurrence that could explain the phenomenon. But since we do not know about every aspect of the universe and about every aspect of physics, it would be impossible to do this so the levitation's supernaturalness would go unproven until humanity knew every single thing about the cosmos and physics. Yet we can never know everything about the universe because the universe expands faster than we can ever travel to reach the perimeter and we can always zoom in closer with out microscopes on matter to further explicate the intricacies of physics and string theory. So by this logic, I think that it would be impossible for you to believe in anything supernatural by your set of rules. Just saying.