Apropos of this, see:
http://en.wikipedia.org/wiki/Quantum_suicide
http://en.wikipedia.org/wiki/Quantum_immortality
Quote:
“In the worlds where the physicist dies, he will cease to exist. However, from the point of view of the physicist, the experiment will continue running without his ceasing to exist, because at each branch, he will only be able to observe the result in the world in which he survives, and if many-worlds is correct, the physicist will notice that he never seems to die therefore proving himself to be immortal, or at least according to quantum immortality.”
I’m a pretty hardheaded rationalist, but there are various reasons why I think this may be so.