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Manfred comments on Logical uncertainty, kind of. A proposal, at least. - Less Wrong
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That is a more detailed model than the robot uses. What it means by the ways to be false or true is more like
"true for 1, true for 2, true for 3, false for 4, true for 5..." The robot can't look inside the statements while it's doing probabilistic logic, it can only look at truth values and relationships.
On the other hand, the power of doing that is certainly a good reason to upgrade the robot :)