From Wikipedia's page on Epicurus:
He also believed (contra 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 he 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) – which is inscribed on the gravestones of his followers and seen on many ancient gravestones of the Roman Empire. This quote is often used today at humanist funerals.
Is there a term that encompasses the belief that there is no awareness in death and that it is not to be feared? Is such a belief peculiar to Epicureanism? If not, which are the other philosophies or religions that share it?