If time is infinite, then their are an infinite number of possibilities. If I die there it's just a matter of time until I live this life over again.
You somehow went from totally not existing, to this. If it's true that you totally not existed, then came into this world, then it could easily happen again once you die and go back to being totally nothing.
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Fucking spot on.
Also, if the universe did begin in a singularity, then it would have taken up zero space. But space and time are essentially the same thing -- and there would not have been time without space. So time may have a defined starting point.