Now, I don't think Alice should jump to conclusions, even if God exists; how do we know it's God who is causing the man to walk on water, and not dolphins raising him up making him appear to be walking on water?
This is precisely the problem though. There could be many different explanations for this unknown phenomenon. How could it be shown that God was doing it?
It could be shown that it was dolphins if they went over and observed dolphins.
It could be shown that it was a sandbar if they went over and observed a sandbar.
It could be shown that it was a salt lake if they went over and observed a salt lake.
It could be shown to be a paddle board if they went over and observed a paddle board.
If they went over to the man and observed that he wasn't standing on anything this would still be perplexing, but it still wouldn't be shown that it was God. It would just be an unexplained phenomena. A mystery which perhaps physicists or psychologists would attempt to
better understand.
As for miraculous events, that's just in the eye of the beholder. Either those events are all lies, or illusions of some sort, or they're real.
As far as I know, history plays out in one way only. So either a miracle happens or it doesn't.
It cannot both be an illusion and real at the same time.
The issue here is that you seem to think we're coming up with our own idea of God from our observable world in which apparent miracles happen, and then we're saying, "that means God exists, now look at what he has done in the bible."
Rather we say, God as described in the bible is real. As for these other miracles in the word, they don't lead me to believe in God, and if one miracle were debunked my original faith in God would remain.
"God as described in the bible is real" is an empty assertion. It raises the question why you would think the Bible is a trustworthy and authoritative source.
If you answer, "Because it is the holy word of God" (or some variant) then you have just walked into another circular argument.
Additionally, it's one thing to know something, and it's another to believe that something is the case. Alice may believe something, but she may not be knowing it.
Precisely the epistemological issue. Believing something to exist is essentially useless if that belief cannot be verified in some way by others. If you believe something exists, and I can't verify it, then it is up to you to show that it actually exists. Until then, it should be assumed to not exist.
For example, if I am walking in the wood with you and you exclaim, "Look there's a bear on the path!" and I look and see no bear, then one of us is mistaken. I would say, "Where?" and you would need to point to it, describe it, describe it's location, describe what it looks like. If your replied by saying, "Oh I don't
know that a bear is on the path, I only
believe there is a bear on the path" then my response would be, "Oh, so you haven't seen it then. Or you're imagining something in your mind which cannot be verified by others."