What makes statements you control important?
“You assign probability less than 1⁄2 to this sentence,” but perhaps you wish you didn’t.
Why would you wish to assign a different probability to this statement?
It’s a variant of the liar’s paradox. If you say the statement is unlikely, you’re agreeing with what it says. If you agree with it, you clearly don’t think it’s unlikely, so it’s wrong.
What makes statements you control important?
Why would you wish to assign a different probability to this statement?
It’s a variant of the liar’s paradox. If you say the statement is unlikely, you’re agreeing with what it says. If you agree with it, you clearly don’t think it’s unlikely, so it’s wrong.