Actually, if you were Billy Pilgrim, you would know immediately you fell
into the chronosyncinastic infundibulum (sp?) whether you were quantum
immortal or not, because the chances would be infinitesimal of ending up in
the first N years of your life, where N is *any* finite value. In fact
Vonnegut got that wrong (in a way) because he said there were both
pre-birth and post-death existences and if these lasted indefinitely, there
would hardly be any chance that Billy would see one second of his life on
Earth (or Tralfamadore (sp?)) ever again. Yet in the novel he was there
almost all the (subjective) time, a bit like Dr Who always turning up on
20th century Earth despite having an entire universe and infinite time to
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