If I may, I'd like to use your sig, Demetrios:
"'Kyrie, eleison', that is to say, 'Lord, soothe me, comfort me, take away my pain, show me your steadfast love.' Thus mercy does not refer so much to justice or acquittal, a very Western interpretation, but to the infinite loving-kindness of God, and his compassion for his suffering children"
as a springboard for how I'm about to talk about "death." You said, in your sig (I love that quote, by the way) that "mercy," which is often thought of as pleading for clemency and release from torture inflicted upon us by God, is rather a pleading for God to simply be who He is towards us, and that we would receive that. So we're dealing with a different definition of an often-misunderstood term.
I would say that the same holds true for "death" here. We usually think of death solely as the separation of the soul and body, and the cessation of bodily function. If we only see death in this manner, the resurrection of the dead would definitely seem like something that goes against that, since the person's "alive" again. But let's look at it another way...let's say someone's brought (body and soul) into the presence of God--someone who was not able to receive God's mercy--and made to stay there in His presence for eternity. This someone would be made to be together with Life Himself, though the person would be incompatible with Life, unable to receive or even understand or tolerate that Life.
Now...could such a state of being, even though it involved consciousness and the union of soul and body, possibly be called "life"? I would say that "death" as it is often used in the New Testament, refers not only to the separation of a body from the living soul, but the separation of the whole being from its Life--THIS, I think, is the second death, and those who've died the first death won't feel the sting of the second death.
Forgive me if I've offended or misspoken.