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RichardKennaway comments on The Bias You Didn't Expect - Less Wrong
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Comments (90)
I believe brazil84 is describing this:
P(X | C & (X v Y)) > P(X | X v Y)
P(Y | C & (X v Y)) < P(Y | X v Y)
while you are describing this:
P(X | C) < P(X)
P(Y | C) < P(Y)
All four of these statements can be true.
(nods)
See also alejandro1's sibling comment and my reply.