army1987 comments on The Universal Medical Journal Article Error - Less Wrong
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Science != Pure Mathematics.
Yes, you can “prove” very little outside pure mathematics. But “doesn't prove” doesn't imply “doesn't support”. Chapter 1 of Probability Theory by E. T. Jaynes makes that clear.
(And BTW, how comes you're taking “school-age children” to mean “all school-age children” but you're not taking “artificial food colorings” to mean ‘all artificial food colorings’?)