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Vadim Kosoy added From_the_perspective_of_frequentist__.tex
about 8 years ago
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From the perspective of frequentist probability the question "what is the probability 7614829 is prime?" seems meaningless, since it is either prime or not so there is no frequency to observe (unless the frequency is 0 or 1). From a Bayesian perspective, probability represents a degree of confidence, however in classical Bayesian probability theory it is assumed the only source of uncertainty is the lack of information. The number 7614829 already contains all information needed to determine whether it's prime so the probability again has to be 0 or 1. However, real life uncertainty is not only information-theoretic but also complexity-theoretic. Even when we have all information to obtain the answer, out computational resources are limited so we remain uncertain. The rigorous formalization of this idea is the main goal of the present work.
