However, because I don't like to play favourites, not dying scares the crap out of me as well. It would be kind of like not ever having to sleep. There would be no end. There would be rampant overpopulation. There would probably be no really meaningful vows of marriage.
Besides, immortality might not mean no death; it might just mean no natural death. If science devised a way to prevent aging and inevitable death, one would not be guaranteed an endless life. Imagine living in society that has banished death by natural causes and then one day getting hit by a car. Well, you say, maybe medicine can now regrow human beings from tiny strands of DNA (my knowledge of science, admittedly, is shaky). Emergency personnel could drag you from a fiery wreck and reconstitute you. Undoubtedly, though, there would be some unfortunate people who would be murdered and then buried. Or otherwise hidden. Really mean or really crazy people would find some way to make sure that dead people never came back. And if you were in a position to live forever, your chances of meeting someone who'd want to kill and bury you would certainly increase exponentially.
It's like any vampire movie. In any vampire movie, a vampire dies. Often many vampires die. Some lucky and now soulless individual thinks "well, it's immortality for me now" and then before two hours have elapsed, he or she has been staked. From immortality to dust. Imagine being immortal and then getting staked by some smart-talking upstart four-foot-tall high-school student who used to cheerlead.
But maybe knowing you were immortal, even if you could be killed by decapitation, would at least make you less afraid because there'd be a chance, at least a chance, that you'd sidestep death. Or maybe it would make you more afraid, because there'd seem to be so much more to lose.
And if death is ever vanquished, there will be a number of poor bastards who expire the day before. I frequently think about the young men who were killed on the last days of the First or Second World Wars. So close. And I fully expect that I will pop off moments before the eternal life serum is unveiled.