Viliam_Bur comments on Harry Potter and the Methods of Rationality discussion thread, part 15, chapter 84 - Less Wrong Discussion
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Having an experience of being right where everyone else is wrong, is good for breaking the fear of nonconformity.
When I was a child, I participated on a science olympiad and on one question I gave an answer that seemed trivially wrong, but in fact it was correct. (There were two objects of different size, made of same material, balanced on a lever, then both immersed in water. How will the balance chance?) Everyone thought I was wrong, and the official solution confirmed it. Then the organizers realized they made a mistake, and confirmed my solution.
Since then I knew (also on emotional level) that it is possible to be right, even if everyone else disagrees. Sometimes it is wise to keep quiet, because the social consequences of nonconformity are real, but being alone does not make one automatically wrong. It was a good lesson.