We know we do not want to die! But do we know what to do with eternity? Immortality on Earth might be possible in the not too distant future. But should we want it? If the desire for immortality is just to avoid death we might be missing the point. If we want earthly immortality, we should be thinking hard about what such immortality would mean. Yet very little investigation is made of this topic. This chapter sets the scene for what follows, and points out that not only philosophers but all of us should address the desirability and morality of immortality.