Partly this is necessary - building up knowledge is, of course, principally an activity of tolerating the limits of our confidence in that knowledge. But where it become a problem is when we start talking about people. There, our epistemic habits (of working with the 95% interval) clash with our moral commitments to treat all people - or rather each person - with equal concern and respect. Suddenly, the mental tools we're so used to using don't have any way to keep up; they can't deliver what we morally need them too. I'm not sure we've come to grips with this.
A lot of academic research does, in fact, take place about people outside the confidence interval. Certainly much critical work is precise an attempt to bring them in. But it very much seems to be an exercise of "oh, and what about ____". Until we can manage to overcome or foundations in the 95%, it's going to remain a sideshow.
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