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GabrielDuquette comments on Rationality Quotes May 2012 - Less Wrong
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Cheryl Strayed, Wild
If you have a result with a p value of p<0.05, the universe could be kidding you up to 5% of the time. You can reduce the probability that the universe is kidding you with bigger samples, but you never get it to 0%.
How would you rephrase that using Bayesian language, I wonder?
It already is in Bayesian language, really, but to make it more explicit you could rephrase it as "Unless P(B|A) is 1, there's always some possibility that hypothesis A is true but you don't get to see observation B."