I actually do mean it quite literally (and precisely), albeit only in an extreme quantum-mechanical sense -- it seems the most logical conclusion from much of the physics I've been reading in the past ten years. I'm certainly a layman, but this doesn't seem to be an especially radical position any more, far as I can tell.

However, keep in mind the subsequent caveat. If the probability of getting from where you are now to that other state is 1 to the googleplex, it isn't very relevant. (And while I sincerely grant the possibility that, eg, I am simply a Boltzmann brain, I choose to *not* believe that...)