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aelephant comments on Is a paperclipper better than nothing? - Less Wrong Discussion
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Because present-me knows that I won't be around to experience either future, present-me doesn't care either way. I'd flip a coin if I had to decide.
Which is why, naturally, you wouldn't sacrifice your life to save the world.
Little different than the proposed situation. There would be plenty of other people with utility functions surviving if I sacrificed myself to save the world.