Certainly this is a vital aspect of immortality and it has a certain amount of appeal. I have known people who say they do not desire such a thing, but I never understood this sentiment. The idea of non-existence is unfathomable to me and because of that, it can be fearful. If I could do away with mortality with a wave of a wand, I would. But I cannot.
Mortality is a basic aspect of life, an unalterable fact.
The notion of life after death has appeal but that is all it has going for it. The idea, while a comfort for some, is based solely on speculation, no matter in how dogmatic of terms the idea is couched in. We know this life is real, we don t have any sort of empirical basis or method of inquiry and investigation, which could give us some evidence about existence beyond death. I believe it is important that our religious claims should be made in light of the best we know of the world in the spirit of the scientific method. So that our claims have grounding in this world and so that new knowledge is not seen as a threat but a welcome and vital aspect of our religious faith.