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ArisKatsaris comments on Hearsay, Double Hearsay, and Bayesian Updates - Less Wrong
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Is there any evidence than American or any other legal system is significantly better than chance at what it does? Or even not significantly worse than chance? (by being biased instead of just random)
That's the first question we should be asking, before concerning ourselves with minor issues about admissibility of evidence.
By "better than chance" do you mean whether when investigating e.g. a murder, the American police and legal system have more than P(1/population of America) of locating and punishing the actual guilty party?