Will_Sawin comments on Seeing Red: Dissolving Mary's Room and Qualia - Less Wrong
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It is difficult to losslessly compress something that has already been losslessly compressed, because its entropy/bit will be very high.
De-compressing something you already had losslessly encoded feels like learning or discovery, depending on whether it is externally induced.
Like, if you know the statement of a difficult math problem, then you know enough information to pin down the answer, but you do not know the answer. If I tell you the answer, you will feel like you just learned something. And you did, in some senses of the word, learn something.
Google keywords: logical uncertainty