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Math is great, but as the great mathematician Goedel proved, it is impossible for math to prove itself, or to provide any help in establishing the correctness or falsness of itself.
So in my personal choice, I prefer to take non-locality (which in some cases has been shown experimentally to occur) and the idea that there are things beyond our perception that we may yet be able to model mathematically that might provide us with the rest of the answers we are looking for.
I'll go along with the mathematical many-worlds theory, in respect to getting the answers to my quantum equations, but don't think it's a sensible way to describe the universe (mainly due to the infinate possibilities it opens up)
You can neither prove your own mortality or immortality to yourself. If you end up dead you don't know about it, and if you end up alive, you could just be incredibly lucky - there might be something really nasty around the corner that really could finish you off.
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