The answers to questions concerning immortality were given in the seventh and eighth chapters of The Wisdom of the Overself. However, certain points are given here again:
(a) Every person maintains his or her individuality during and after the perishing of the body-thought.
(b) The inequalities and injustices, which trouble many, are all balanced sooner or later by the law of recompense (karma). Each person receives in return precisely what he or she gives out; thus there is justice in the world, despite appearances to the contrary.
(c) When others ridicule the idea of immortality, the aspirant should not be upset nor allow his own faith to be weakened; he must remember that these people are merely expressing their own opinions, not passing on knowledge. The fact that many persons are not too happy about the idea of physical annihilation--and fail to take into consideration the fact that the "I" endures--has, of course, coloured their personal tastes. Their opinions are, however, incompatible with truth.
(d) The superstition that a childless person cannot reincarnate is nonsense.
(e) There are two kinds of immortality (so long as the lower self dominates consciousness): first, the "endless" evolution of the ego, gradually developing through all its many manifestations; and, secondly, the true immortality of the everlasting, unchanging Real Self--or Overself--which forever underlies and sustains the former.
(f) My reference to not clinging to the ego simply means that the aspirant must learn the art of releasing what is transitory in himself and in his existence--that which can survive only temporarily. The Real Individuality--the sense and feeling of simply Being--can never perish, and is the true immortality. No one is asked to sacrifice all interest and appreciation in "things": one may continue to appreciate them--provided their transiency is understood and one does not deceive himself into overvaluing them. The prophets merely say that the eternal life cannot be found in such things.
-- Notebooks Category 9: From Birth to Rebirth > Chapter 1 : Death, Dying, and Immortality > # 181
