Kharma dog guy makes a good point, being immortal physiclly would be too painful emotionaly in my opinion, but mentally immortal sounds better, you could continue to make a difference in the minds of millions because they know all about whatever great, or terrible thing you did. Yes some happen upon it by chance, others strive for it, and some just enjoy what they are doing and get there while doing whatever it is.
I wouldn't want to be immortal physically...That would be like a prison. Maybe even a hell. To be spiritually immortal in what ever form besides something stupid, I think would be great.
To be remembered for something I cared about, would be a kind of immortality, but not a real one. More like a memory.
To be remembered for a tragedy would just leave a bad taste in everyones memory. And if I am immortal spiritually, I don't want to be around when the bad taste is being spit out aallllll over the place..
Just my thoughts.
Woody Allen once said that he doesn't want to achieve ommortality through his work, but through not dying. I don't want to live forever, death is man's best friend, however, my poems has been published all over the world and for that I am greatful - those words I've written is immortalised, well at least as long as mankind exists.