Mojo
Mostly harmless
Even a number so large that nobody can imagine it is infinitely far from infinity. You cannot get infinity into your formula by proposing "unimaginable" as a sort of shorthand for "infinity".
Jabba wants infinity in his fomula because of this:
We can't run this universe over from the beginning. So, from our one data point, we can't extrapolate anything.
All we have is a single result that is consistent with scientific models of the universe (or rather that scientific models of the universe are consistent with, having been designed to fit the evidence). Jabba wants the result to be impossible, so he sticks infinity into his denominator.
There are a number of problems with this. If he puts infinity into his denominator to allow for an infinite number of possible "selves", then it needs to be there whether or not the "selves" are mortal. In fact, if he's going to assume that "selves" have some sort of existence independently of the body, and try to work out the likelyhood of his particular "self" somehow occupying his body, the likelyhood is the same for both situations, because there are going to be the same number of "potential selves" competing for his single body whether they are mortal or immortal.
In fact the only thing Jabba's argument would lead to, were it valid, is that it isn't possible for him to exist by chance, and he must therefore be a predestined result of a designed universe. This gets him no nearer to "essentially proving immortality", because there is no reason that he could not have been designed with a single finite existence, and no evidence of "selves" outliving their bodies, designed or not.
Instead of this ever-circling discussion about infinity and imaginable or unimaginable numbers, would it not be more productive in the context of this thread to actually start posting some evidence for immortality, consciousness surviving death or the existence of the soul?
The problem is that because his "scientific model" is a strawman he's asking the wrong question. The actual scientific model of consciousness doesn't predict the existence of Jabba's particular "self", it just says that consciousness is the result of brain processes. All it says regarding Jabba's particular "self" is that it is the result of Jabba's particular brain processes.
The question he should really be asking, as far as a Bayesian analysis of Jabba's claim of immortality is concerned, is:
"Given that Jabba's consciousness exists, and given that all the human consciousnesses we are aware of are the result of functioning human neurosystems, and that all the human neurosystems we are aware of eventually stop functioning, what is the likelyhood that Jabba's consciousness is immortal?"
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