Blaine: The universe itself is very algorithmically simple compared to any particular part of the universe\. \(At least if we go by no\-collapse interpretations of quantum mechanics, so that there isn't random information being constantly added via a 'collapse' postulate\.\) Consider a library that contains all possible books\. It's very easy to write a computer program that contains all possible books\. So any particular book in the library contains much more algorithmic information than the entire library; it contains the information of 'look at this particular book here'\. If pi is normal, then somewhere in its digits is a copy of Shakespeare's Hamlet \- but the number saying which particular digit of pi to start looking at, will be just about exactly as large as Hamlet itself\. The copy of Shakespeare's Hamlet that exists in the decimal expansion of pi, is more complex than pi itself\. So similarly, the world Earth is much more algorithmically complex than the laws of physics\. Likewise, the visual field you see is more algorithmically complex than the laws of physics, the rules of protein folding that interpreted your DNA, and so on\.

Link to a description of the library of babel?