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CronoDAS comments on My Fundamental Question About Omega - Less Wrong
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I agree with that. I don't expect a perfect predictor to make that prediction, though, but if it were made, then I'd find myself handing over the $5 for some reason or other.
Yes, you would expect that you would find yourself handing over the money. If told "Omega will soon predict that you will give him $5", then you divide the universe into two categories - I will give over $5, or I won't - and assign much greater probability to the first option.
But that is not a reason to give him $5 if you otherwise wouldn't. It's a reason to expect that there will compelling reasons to make you do it - but if these compelling reasons don't materialise, there is no reason for you to act as if they were there.
Yes, I agree with this.