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Leonhart comments on Selfish preferences and self-modification - Less Wrong
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Assuming we substitute something I actually want to do for hang-gliding...
("Not the most fun way to lose 1/116,000th of my measure, thanks!" say both copies, in stereo)
...and that I don't specifically want to avoid non-shared experiences, which I probably do...
("Why would we want to diverge faster, anyway?" say the copies, raising simultaneous eyebrows at Manfred)
...that's what coinflips are for!
(I take your point about non-transferability, but I claim that B-me would press the button even if it was impossible to share the profits.)
I think that's a totally okay preference structure to have (or to prefer with metapreferences or whatever).
Delicious reinforcement! Thank you, friend.