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thomblake comments on Seeing Red: Dissolving Mary's Room and Qualia - Less Wrong
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Not if you could losslessly encode it enough and also work directly with such encodings.
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