- Is Eve irrational?
- Can believing an unfalsifyable believe be rational?
- Can this argument be extended to believe in God?
You don't only need evidence that the fantastical events were caused, you also need evidence they were caused by the same thing if you wish to attribute them to that same thing.
Assume I observe X, Y, Z and form three hypotheses
A obviously has highest probability since it includes B and C as special cases. However, which one of B and C do you think should get complexity penalty over the others?
In you story:
Yes, it can be extended to belief in God. Provided we restrict "God" to a REALLY TINY thing. As in, gee, a couple thousand years ago, something truly fantastic happened - it was God! I saw it with my own eyes! You can keep believing there was, at that point in time, an entity causing this fantastic thing. Until you get other evidence, which may never happen. What you CANNOT do is say, "hey, maybe this 'God' that caused this one fantastic thing is also responsible for creating the universe and making my neighbor win the lottery and my aunt get cancer and ..." That's unloading a huge complexity on an earlier belief without paying appropriate penalties.
The relevant comparison is: Given that God did X, what is the probability that God also did Y and Z, verses God did not do those things.
P(God did Y, Z | God did X) = P(God did X,Y, Z) / P(God did X)
v.s.
P(God did not do Y, Z | God did X) = P(God did X, and something other than God did Y, Z) / P(God did X)
I am uncertain about how to correctly apply complexity penalty, but I do believe that the multi explanation model "God did X, and something other than God did Y, Z" should get complexity penalty over the sing explanation model "God did X, Y, Z".
The belief "God caused some tiny thing, a couple thousand years ago", should correlated with the belief "God did this big thing right now". This is why I firmly believe that God did not cause some tiny thing, a couple of thousand years ago.
Phrased like this, I see what you're getting at; but in my mind, I was describing extraordinary, but different events. Say, miracle cures and miracle plagues or whatever. A whole bunch of locusts and your aunt being cured of cancer most likely have different causes. In that case, you first have to postulate an entity which can summon a bunch of locusts. The actual summoning need not be magical or spontaneous in nature, only their appearance. So keeping a bunch of locusts hidden away whilst feeding them (somehow), before releasing them like a plague, would ...