Five Kinds of Afterlife

[TimM]

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If that which makes my consciousness me is finite, and the universe is infinite (perhaps as in the bang-crunch forever idea, but there are other ways it could be infinite), I should be re-created an infinite number of times.

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That plan gets hosed if there are particles which behave in a truely random manner.

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No, randomness is good when you have an infinite number of trials. It assures that everything possible will eventually happen infinitely many times.