Eliezer_Yudkowsky comments on Causal Reference - Less Wrong
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So in the end, we're back a frequentism.
Also, what about unique events?
Er, no, they're called Dynamic Bayes Nets. And there are no known unique events relative to the fundamental laws of physics; those would be termed "miracles". Physics repeats perfectly - there's no question of frequentism because there's no probabilities - and the higher-level complex events are one-time if you try to measure them precisely; Socrates died only once, etc.
What about some of the things going on at the LHC?