I'd like to cut this rational justification/ emotional response knot and simply say : Nearly all of us would be scared if condemned to torture & we'd be scared because it's going to be us who is tortured. — csalisbury
Well, that's a plausible answer to the question "Why should you be worried about something that's only
going to happen to you." The answer you give is that it's going to happen to
you. But I would object that that's not why we are worried; we don't actually reason this way. There is no why, it's just something we do instinctively. You might speculate though that it's the same instinct that makes us believe in the invariance, or at any rate, continuity of the self over time. Maybe.
So, well & good. but personal continuity is an explanandum, not an explanans. We might posit some sort of soul (which, having been posited, drastically lowers any assurance one might have about the impossibility of one's existing after death.) But if, on the other hand, one rejects the idea of a soul, then another explanation must be put forth.
That second explanation is what I was hoping to draw out. — csalisbury
My explanation is deflationary (but not eliminativist). I do not think that personal identity constitutes a sharp metaphysical unit. I think that it is a psycho-social construct, rather than some independently existing entity, like a soul. (Which is not to say that it is not real: psycho-social constructs are as real as anything else.)
This is a broader, less specific answer than John's idea of an integrated memory stream. That is one possible psychological mechanism, but it at most addresses the sense of one's own identity; there is also a recognition of personal identity in others, which would have to have some other explanation. I suspect that, our evolved psychology being a terrific mess that has accumulated many ad hoc patches, crutches and shortcuts over the ages, there is no one simple and elegant mechanism to account for all aspects of our self-identification.
If personal identity is a psycho-social construct, it is to some extent a product of our biological makeup, and to some extent a matter of cultural tradition and even personal preference. Therefore, to come to the title question, there is no objectively right or wrong answer to the question of whether your self can continue or to reemerge after your death. Our common intuitions with regard to personal identity are based on our common experiences. But of course, we none of us have afterlife experiences - at least none that could be shared with our mortal selves. Nor do we have experiences that could shape our intuitions with regard to any number of other fantastical thought experiments that are often trotted out in order to explore issues related to personal identity: teleporters, matter duplicators, etc. Such thought experiments, rather than providing an insight, defeat their purpose by being too extraordinary.
Fortunately, nothing important is at stake when considering such questions - unlike the realities of our existence that have shaped our intuitions with regard to personal identity: contemplating our own "selves" and the "selves" of people around us. So if you must answer the question, then knock yourself out, believe whatever strikes your fancy. There are no consequences to having such an opinion, nor is there any way to put it to the test.