Perhaps his question can be interpreted this way.
Suppose a replica of the entire universe was made with precise accuracy. Would the IcopaV in the copy universe be the same IcopaV in the original universe?
If determinism is correct they would be indistinguishable/identical.
Yes, this is my goal: even if someone may continue to add requisites to make a copy of me that would be exactly me, I still may image that all of these requisites could be satisfied somewhere. After all, they happened in this Universe, because I am here!
So, because I believe that what is enough probable to happen once, then is also enough probable to happen two, three, infinite times again (given enough time and/or space), then I conclude that I will born again each time that exactly the same circunstances will happen again.
Max Tegmark imagined something similar in his article about multiverses that you can read at http://www.scribd.com/autodidactic/d/6146247-Parallel-Universes-Max-Tegmark-Scientific-American (even if he don't speak about the personal identity).
Dancing David, I know the double slit experiment and Uncertainty principle, I wrote in some post that I really think that two brains in the same state will diverge in a moment, but with a number large enough of brains in the same state, at least two of them could enter in the same new state and so stay in synch for two moments, etc. Maybe you miss it, but no matter, as you continue to miss that my name is "IacopoV" and not "IcopaV". Anyway, thanks for your english corrections.
All this says nothing about Open Individualism, it just meant to show that I may born again even without the existence of any soul. But according to Open Individualism, it is not necessary to duplicate an intere universe to build two people with the same personal identity, it simply descends by their having the same property of consciousness.
Many of you said that this property must be considered different each time because it applies to different people; in my view, consciousness is like a function that requires an argument, that is not even a person, but a brain state enough complex to allow consciousness. So the function is always the same, but applied each time to different data. This explains why during our lives we can change all our material parts without losing our personal identity, and also how we can have the same personal identity without sharing any memories, nor willingness, nor thought between us.
I am aware that you will not agree, and that these are not proofs. But at least you can see that this model doesn't require any "cosmic soul" or religious concept. Maybe it's not a materialist view, but is not dualist as it doesn't need any kind of quintessence. My view of Open Individualism is based just on information, and everything I consider is only data and functions.
Thank you for having compared your ideas with mine.