Vive-ut-Vivas comments on Bayes' Theorem Illustrated (My Way) - Less Wrong
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Only for the stated purpose of this website - to be "less wrong"! :) Quoting from Science Isn't Strict Enough:
As for the rest of your comment: I completely agree! That was actually the explanation that the OP, komponisto, gave to me to get Bayesianism (edit: I actually mean "the idea that probability theory can be used to override your intuitions and get to correct answers") to "click" for me (insofar as it has "clicked"). But the way that it's represented in the post is really helpful, I think, because it eliminates even the need to imagine that there are more doors; it addresses the specifics of that actual problem, and you can't argue with the numbers!