Well that's not entirely true. His idea does destroy a lot of yourself, but many parts like your personality or ideas or even some memories maybe, may be able to be passed on. I would consider it at least partial immortality.
I would still consider an option for immortality if my personality and whatnot survived, but I had amnesia and couldn't remember anything. Even better if I can retain all the important memories.
But this would be extremely difficult and immoral as hell. Also I'm sure, just by chance, there is someone out there who has an extremely similar personality and values to myself. That's at least mildly comforting if I thought I was going to die, about as much as this form of immortality would be.
Ideas, and memories can be made to survive the flesh in far simpler was. Personality less clearly so.
Thus spake Eliezer:
It seems that many here might have outlandish ideas for ways of improving our lives. For instance, a recent post advocated installing really bright lights as a way to boost alertness and productivity. We should not adopt such hacks into our dogma until we're pretty sure they work; however, one way of knowing whether a crazy idea works is to try implementing it, and you may have more ideas than you're planning to implement.
So: please post all such lifehack ideas! Even if you haven't tried them, even if they seem unlikely to work. Post them separately, unless some other way would be more appropriate. If you've tried some idea and it hasn't worked, it would be useful to post that too.