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Dmytry comments on On accepting an argument if you have limited computational power. - Less Wrong
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It seems reasonable to me that my confidence that the mugger can do what it claims to should be inversely proportional to the discrepancy between what the mugger claims and what the mugger is willing to demonstrate. Why do you say it should be a constant factor?
What if one in ten thousands genuine super-beings is not a nice guy and refuses to demonstrate you stuff? The refusal is only linked to ability for those unable to demonstrate, or those barely able to demonstrate. If you mail world's top mathematicians a question what is 2*3+4 , very few will write you back; you may actually get higher willingness to 'demonstrate' ability to multiply and add from the elementary school kids.
True. OTOH, very few of them will approach me with a "mathematician's mugging," either.