So you "live on in the hearts of those who knew you."
Actually, you could say that it's illogical for existence to end completely. Mind and body are seperate entities, it could be said that they are on seperate planes of existence. If that's the case, the mind would be metaphysical, and could essentially continue without an actual physical form to "boot" on. These theories are not scientific, and there are a lot of things out there that could actually exist outside the realm of scientific "proof." Humans aren't computers, in other words.