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Vladimir_Nesov comments on Why Bayes? A Wise Ruling - Less Wrong
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Sorry, I have bad memory for details of this sort, only remember the abstract observation, which is recurrent enough that I have a cached phrase to identify and point out such situations ("This doesn't distinguish the alternatives!"). Could make up some examples, but I don't think it's useful for clarification in this case, and it won't provide further evidence for the existence of the issue.
Since the elements of the empty set satisfy arbitrary properties, all the examples you provided are technically evidence in favor for your observation. Also, against it.
Heh <3
It's hard to find this kind of humor anywhere else than LW and XKCD.
Actually, SMBC comics tends to be better than either.
We have some XKCD fans here, I see.
Well, I think it used to be way better than it is now.
If the woman who lost hadn't been so comprehensively messed up in the head, you would've had an example in the OP. I wonder if there was a similar test more likely to succeed.
I have a theory that everyone does this, and it's a way for our brains to save space somehow. Just keep track of the rate at which things tend to occur instead of recording and cataloging every experience.