The first thought when hearing “eternal life” tends to be “life after death”, but either believers are right and all live eternally or atheists are correct and there is nothing after death (in which case also nothing to worry about since you will no longer be aware).
Examined logically “eternal life” (as expressed in Biblical texts etc.) denotes something more than survival because it is partaken by some and not others. It seems to be speaking rather of quality of life – living rather than existing. As Braveheart so aptly states, “All men die, but not all men truly live!” There’s a difference between eternal life and eternal survival. Eternal survival in an environment in which you felt trapped, fearful, or alone would be the worst kind of hell!
So what is meant by “eternal life”? John clarifies “This is eternal life, that they may know … the only true God, and Jesus Christ…” We are told Jesus came that we might “have life and have it more abundantly” an enriched life, beginning not at death but the moment we come to truly know him in a personal and intimate way, a life enriched by the power and joy of his spirit, possessed not at death but right now in our present life and that to come.