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SarahC comments on Open Thread June 2010, Part 2 - Less Wrong
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Let's get this thread going:
I'd like to ask everyone what probability bump they give to an idea given that some people believe it.
This is based on the fact that out of the humongous idea-space, some ideas are believed by (groups of) humans, and a subset of those are believed by humans and are true. (of course there exist some that are true and not yet believed by humans.)
So, given that some people believe X, what probability do you give for X being true, compared to Y which nobody currently believes?
If no people believe Y -- literally no people -- then either the topic is very little examined by human beings, or it's very exhaustively examined and seems obvious to everyone. In the first case, I give a smaller probability than in the second case.
In the first case, only X believers exist because only X believers have yet considered the issue. That's minimal evidence in favor of X. In the second case, lots of people have heard of the issue; if there were a decent case against X, somebody would have thought of it. The fact that none of them -- not a minority, but none -- argued against X is strong evidence that X is true.
Isn't the other way around?
(Good analysis, by the way.)