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the demonstration doesn't make much sense but it doesn't mean that the thesis is wrong

the question of free will, or more generally "is the Universe deterministic ?" is very interesting but it's a pure metaphysical one. No science or logic can answer it and therefore any answer is not more than a belief.

But the question remains fascinating even though it's quite old. Check this for instance http://en.wikipedia.org/wiki/Laplace%27s_demon

I always find really funny to consider that, should the Universe be deterministic, the very message I'm typing was already "written" in the subatomic particles right after the Big Bang (well, right "before" it too but then it's becoming really weird as the current theory sees the big bang as the creation of space time itself) !