Carl Jung on "Immortality"

Our life is indeed the same as it ever was.

At all events, in our sense of the word it is not transitory; for the same physiological and psychological processes that have been man's for hundreds of thousands of years still endure, instilling into our inmost hearts this profound intuition of the "eternal" continuity of the living.

But the self, as an inclusive term that embraces our whole living organism, not only contains the deposit and totality of all past life, but is also a point of departure, the fertile soil from which all future life will spring.

This premonition of futurity is as clearly impressed upon our innermost feelings as is the historical aspect.
The idea of immortality follows legitimately from these psychological premises. ~Carl Jung, CW 7, Para 303