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alex_zag_al comments on A Limited But Better Than Nothing Way To Assign Probabilities to Statements of Logic, Arithmetic, etc. - Less Wrong
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I now think you're right that logical uncertainty doesn't violate any of Jaynes's desiderata. Which means I should probably try to follow them more closely, if they don't create problems like I thought they would.
An Aspiring Rationalist's Ramble has a post asserting the same thing, that nothing in the desiderata implies logical omniscience.