“If you know nothing, 50% prior probability” still strikes me as just plain wrong.
That strikes me as even weirder and wrong. So given a variable A which could be every possible variable, I should assign it… 75% and ~A 25%? or 25%, and make ~A 75%? Or what? - Isn’t 50% the only symmetrical answer?
Basically, given a single variable and its negation, isn’t 1⁄2 the max-entropy distribution, just as a collection of n variables has 1/n as the max-ent answer for them?
That strikes me as even weirder and wrong. So given a variable A which could be every possible variable, I should assign it… 75% and ~A 25%? or 25%, and make ~A 75%? Or what? - Isn’t 50% the only symmetrical answer?
Basically, given a single variable and its negation, isn’t 1⁄2 the max-entropy distribution, just as a collection of n variables has 1/n as the max-ent answer for them?