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kalium comments on Why appearance matters or “to behave as if” - Less Wrong
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In practice, it differs in that once an opinion is formed it's sticky and contrary evidence tends not to result in updating.
Or, it starts from a poor probability assignment in the first place.
Basically, prejudice as a bad thing is poor Bayesian reasoning, not all Bayesian reasoning. Unfortunately, many opponents of prejudice would insist on throwing out some good Bayesian reasoning as well.