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TheOtherDave comments on On accepting an argument if you have limited computational power. - Less Wrong
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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.