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Vladimir_Nesov comments on Are You Anosognosic? - Less Wrong
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This is a trivial transformation that I don't see how could change the interpretation of the question.
Is it to say, if you had to make such a bet (at a gunpoint, if you will), you'd be indifferent and might as well flip a coin to choose? If so, fair enough. If not, what's more to it? (Assuming you don't want to get killed on refusing to take the bet.)
I could as well flip a coin.