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FrameBenignly comments on Is arrogance a symptom of bad intellectual hygeine? - Less Wrong
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I believe you're confusing arrogance and closedmindedness. There is a correlation between openmindedness and intelligence. I do believe openmindedness is a form of rationality. I'm not sure how good rationality training is at increasing it. Personality Psychology indicates Openness to Experience is a fairly stable trait; not one that can be taught.
Well, maybe that's the question. They're different, and you can have one without the other, but do they cooccur above chance? Maybe arrogance reduces your exposure to the occasional clever ideas that will inevitably come from people you've dismissed. That isn't closemindedness, it something more like as-if-closemindedness, but it would come to the same thing.