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Nisan comments on Inherited Improbabilities: Transferring the Burden of Proof - Less Wrong
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You'd also need those 30 things to be independent.
Probably superfluous nitpicking: you can build a strong case even with partially-interdependent pieces of evidence, you will just need more of them since you have to work off their conditional probabilities (which is mathematically equivalent to "splitting" them into independent pieces of evidence).