John,
- If caveman would prefer either of those, either would be fine with me. Mostly, I think that caveman doesn't think that the likelihood of my current existence given that I'm immortal is greater than the likelihood of my current existence given that I'm not immortal -- and, I either never understood why he doesn't, or simply can't remember why he doesn't...
The default likelihood that a particular immortal comes into existence is no greater than the default likelihood that a particular mortal comes into existence, in the absence of any modifying information on the likelihoods of one or the other coming into existence.
However, the probability that an immortal would be observed to exist
at some random moment is much greater than the probability that a mortal would be observed to exist
at some random moment, in the absence of modifying information on the likelihoods of one or the other coming into existence.
Because, IF the immortal comes into existence, he will always be hanging around, whereas If the mortal comes into existence, he won't be around very long.
Therefore, there are many more potential moments during which the immortal might be observed to exist than there are potential moments during which the mortal might be observed to exist.
Except that, from your subjective perspective, the moments during which you observe yourself are not random moments. They are the only moments you could possibly observe. Those moments inform you only of the very interesting fact that you have, in fact, come into existence, against immense initial odds.
But that fact is only interesting from your subjective perspective. No one else has reason to find your existence interesting.
So stick that in your pipe and smoke it.