Epicurus believed, contrary to Aristotle, that death was not to be feared. When a man dies, he does not feel the pain of death because he no longer is and therefore feels nothing. Therefore, as Epicurus famously said, “death is nothing to us.” When we exist, death is not; and when death exists, we are not. All sensation and consciousness ends with death and therefore in death there is neither pleasure nor pain. The fear of death arises from the belief that in death, there is awareness. From this doctrine arose the Epicurean epitaph:
Non fui, fui, non sum, non curo (“I was not; I was; I am not; I do not care”).
This is inscribed on the gravestones of his followers and seen on many ancient gravestones of the Roman Empire. This quotation is often used today at humanist funerals. (Part of an edited version of the entry in Wikipedia, not my own words).
On a practical issue, Epicureans (or those who face the prospect of death with resignation or equanimity), are more inclined to have their deaths organised. By this I don’t mean you find an assassin(!), but you do make a Will, along with a Living Will, say what sort of funeral you want, burial or cremation. (I have severe doubts about memorial services. They should be spontaneous or it looks like egotistical control). Anyway, a thoughtful person thinks about the decisions faced by those left behind, discusses them and tries to make the process as unstressful as possible. Those who think they will live forever don’t bother, and cannot imagine what will face the survivors.