Actually I wonder that kind of thing from time to time, but I would say that at the end of this life is the best time to wonder about a possible afterlife. I think about a possible aterlife from time to time, and only thta often, because I have so many things in this life to worry about. I have so many things going on. If you're lying in a hospital bed (best case scenario, I think) and about to die, then the only possible future is the afterlife. If there is none, then that's ok too.
I suppose I could think about other people, though, but maybe not.