Are you saying that the universe is finite but that there are infinite possibilities of occurance in it?
In every block of marble I see a statue as plain as though it stood before me, shaped and perfect in attitude and action. I have only to hew away the rough walls that imprison the lovely apparition to reveal it to the other eyes as mine see it.
Many humans have tried to explain to us that we cannot understand concepts that are beyond us, concepts such as infinity (because we are finite systems), or for that matter unconditional love (because we are conditioned).
I beg to disagree; we are an intelligence that can self-metamorphose by its own and on its own. We are a kind of mind that can not only create the tech singularity because we will it, we can do much more than that, we can bring about our own transformation via our own mind singularity which can and maybe/probably will give us the capacity to break through the conceptual barrier we are now facing.
One reason it might be hard to accept infinity (per the argument above), is that we as humans have no direct way of experiencing it.