http://bible.org/seriespage/can-we-believe-immortality
Man must acknowledge the immortal Christ as his only hope for life after death. Without the Cross of Christ there could have been no redemption for the fallen race, and without that redemption there can be no hope for the life that is immortal. The Christian possesses a living hope that finds its root in the Person and Work of the now living Christ.
The author makes a point in passing that there’s a difference between “eternal life” and “immortality”. Every soul is immortal – which is to say, it will exist forever. But eternal life or life after death is different, with the emphasis on “life”. The only way to have “life” after death is to accept the redeeming grace of Jesus. What happens after death for those who do not accept Jesus’ salvation? They continue to exist, but are separated from God.