The Bible can be construed as suggesting that the flesh itself is mortal, meaning you cannot be "human" as we perceive it, as a person with meat and bones, and live forever.
"For the perishable must clothe itself with the imperishable, and the mortal with immortality."
And the New Living Translation, "For our dying bodies must be transformed into bodies that will never die; our mortal bodies must be transformed into immortal bodies."
Jesus says the new man will be similar to an angel. The implication of them not marrying is that they won't procreate.
"Jesus answered, 'The sons of this age marry and are given in marriage. But those who are considered worthy to share in the age to come and in the resurrection from the dead will neither marry nor be given in marriage. In fact, they can no longer die, because they are like the angels. And since they are sons of the resurrection, they are sons of God.'"
"For as in Adam all die, so in Christ all will be made alive. But each in his own turn: Christ the firstfruits; then at His coming, those who belong to Him... The last enemy to be destroyed is death."
