My current take on the matter is that we are a soul, not someone who has a soul. To state it differently, our body, mind, and soul are intricately interconnected and make us what we are. I don't think our soul is a ghost with a disembodied existence that happens to be inside a body for the moment.
If I am correct, then we are dead, our body is dead, our mind is dead, and our soul is dead. We will be resurrected at the last judgment, complete with body, mind, and soul. Those who do not receive eternal life will be killed/destroyed in some way. There will be no further resurrection, so their death (of body, mind, and soul) is then eternal.