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dclayh comments on Diseased thinking: dissolving questions about disease - Less Wrong
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How much of a statistical correlation would you require? Anything over 50%? 90%? 99%? I'd still have a problem with this. "It is better [one hundred] guilty Persons should escape than that one innocent Person should suffer." - Ben Franklin
An article by SteveLandsburg on a similar quote.
And a historical overview of related quotes.