Daniel_Burfoot comments on This post is for sacrificing my credibility! - Less Wrong Discussion
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Yes, a draft version is done already, you can find it on arXiv if you are interested. I'm not sure I would say the argument of the book is that "compression is fundamental to epistemology", it's more along the lines of "the problem of building specialized lossless data compressors is a deep and interesting one; if we attack it we will probably find out a lot of interesting stuff along the way".