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This stuck out to me too, glad someone else noticed it. Just in case people aren't aware, the law of large numbers is a phenomenon related to repeated random experiments, saying that the incidence rate of any particular event will tend towards the probability of that event. Referencing it in this context is a total non-sequitor.


I think they are using a big brain generalization of the law of large numbers, where it now means any limit involving a stochastic process




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