Wei_Dai comments on Why We Can't Take Expected Value Estimates Literally (Even When They're Unbiased) - Less Wrong
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That's my gut feeling as well, but can we give a theoretical basis for that conclusion, which might also potentially be used to convince people who can't think of anything medium-probable to "do something"?
My current thoughts are
Anyway, I understand that you probably have reasons not to engage too deeply with this line of thought, so I'm mostly explaining where I'm currently at, as well as hoping that someone else can offer some ideas.