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Strange7 comments on Newcomb's Problem and Regret of Rationality - Less Wrong
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The map is not the territory. "A&!A" would mean some fact about the world being both true and false, rather than anyone's beliefs about that fact.
Assigning zero or nonzero probability to that assertion is having a belief about it.
Yes, the probability is a belief, but your previous question was about something more like P(!A&P(A)=1), that is to say, an absolute belief being inconsistent with the facts. Vaniver's assertion was about the facts themselves being inconsistent with the facts, which would have a rather alarming lack of implications.