Oscar_Cunningham comments on Rationality Quotes February 2014 - Less Wrong
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I agree, but the first VNM axiom doesn't: totality of the preference ordering. Neither does Eliezer.
VNM agents are still allowed to be indifferent.
I like Robin Hanson's post about this. Or there's this quote in from Russell and Norvig:
The quote actually was about betting. From Artificial Intelligence: A Modern Approach, by Russell & Norvig, on Dutch books:
Thanks for the correction!
EDIT: My copy has "One can no more refuse to bet than one can refuse to allow time to pass." Different editions, I guess.
They still have to know they're indifferent.
Why isn't saying "I don't know" a reasonable approach to the issue when ones knowledge is vague enough to be useless for knowledge (and can only be made useful if the case was a bizarre thought experiment), Just because one couldtheoretically bet on something doesn't mean one is in a position to bet. (For example to say that I don't know how to cure a disease so I will go to the doctor, or I don't know what that person's name is (even though I know it isn't "Xpchtl Vaaaaaarax") so I should ask someone, Or I don't know how life began. Or I don't know how many apples are on the tree outside (even though I know it isn't 100 million))