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Decius comments on What do professional philosophers believe, and why? - Less Wrong Discussion
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"Omega predicts that you take both boxes, but you are ignorant of the fact. What do you do, given that Omega predicted correctly?"
"Omega makes a prediction that you don't know. What do you do, given that Omega predicted correctly?"
I fail to see the difference between the decision theory used in these two scenarios.
And can you give an example of an untestable statement that could be true but is objectively false? What does it mean for a statement to be objectively unreasonable to believe?
The first is contradictory, you've just told me something, then told me I don't know it, which is obviously false.