If the probability space of all possible worlds is not infinite then what are your defined "limitations" for the finite space of possible worlds with some worlds that are not possible?
Well what sort of limitations are you thinking of, It would depend a lot on exactly what sort of multiverse you are talking about, I had assumed that you meant something along the lines of the many worlds interpretation of quantum mechanics, is this not the case. In terms of the many world interpretation the the limitations would be defined by whatever the probability distribution of the initial start of the universe was. For all I know it may well be that the singularity, as a possible staring point, did have an infinite range of probable outcomes, but there is no reason to just assume that that is the case, which is what you do. Whatever physical laws governed the origin of multiverse would be what sets the limitations for the probability space the multiverse can explore. You may choose to believe that an intelligence organised those laws, but there seems to be no evidence to support that, and certanly none provided by your argument.
The argument is not that God exists, but that an intelligent factor, not necessarily an infinite one, is the basis for the existence OF the universe.
This particular universe? The multiverse? Or just some universe somewhere in the manifold? As the other poster pointed out the thread which was closed, somewhere in the universe there may be entitities with the neccessary technology to produce new universes, does that make them gods? If humankind discovered how to initiate the development of a new universe would that mean that we were gods?
TTFN,
WK