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Coscott comments on Creating a Text Shorthand for Uncertainty - Less Wrong
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Actually, I think that while this might be true now, it would actually be helpful for us to start thinking about probabilities as integers on a log scale like I described. If we all switched to this system, I think we would be better off. Also, as it is now, we do not state confidence levels much, and this might encourage us to do so.
I agree that a community that conventionally used a log scale like you describe to communicate confidence levels ("probabilities") would have advantages. It is not clear to me how, or if, this community can make a transition to that convention.
Perhaps a place to start would be by modeling the behavior you suggest, and adopting the habit yourself? (e.g., you say you "think" that starting to think about probabilities as integers on a log scale would leave us better off... what is that expressed in your suggested notation?)