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nyralech comments on Social class amongst the intellectually gifted - LessWrong
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Weak bayesian evidence E is something which you can reasonable expect to find given either hypothesis (e.g. "math is useful" vs "math is useless"), but nevertheless results in P(H|E)/P(~H|E) > P(H)/P(~H).
Strong bayesian evidence would pretty much kill the alternative hypothesis, i.e. P(~H|E) ~ 0.
The world has more than just two categories. It's useful to know whether we talk about updating by 1% or 0.001%.