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MatthewB comments on Five-minute rationality techniques - Less Wrong
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That Candidate 2 (admitting that one is wrong is a win for an argument), is one of my oldest bits of helpful knowledge.
If one admits that one is wrong, one instantly ceases to be wrong (or at lest ceases to be wrong in the way that one was wrong. It could still be the case that the other person in an argument is also wrong, but for the purposes of this point, we are assuming that they are "correct"), because one is then in possession of more accurate (i.e. "right") information/knowledge.