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jferguson comments on A fun estimation test, is it useful? - Less Wrong
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Not ironically, there are ancient posts from Elizier and Robin concerning exactly this: "I Don't Know." and "You Are Never Entitled to Your Opinion"
Actually I found the exercise interesting for that reason. On most of them I had what I considered no idea, but the requirement to get actual numbers forced me to clarify just what the limits on "don't know" were. (Only one I got wrong by its standards was the Pacific coastline one. I did the area/volume ones by starting by estimating the size of Connecticut...)