Well obviously I can't communicate the full idea of "The Greatest Book Ever Written" in a comment, but I'll try :) Strange things happen when you have 'recursi

Well obviously I can't communicate the full idea of "The Greatest Book Ever Written" in a comment, but I'll try :) Strange things happen when you have 'recursion' / 'strange loops' / 'self reflection' / 'mirroring' / 'strange entanglement' / 'entangled heirachies' etc. What are some examples ? - "This statement is false" is true or false ? - The Heisenberg uncertainty principle, position and momentum of a particle cannot both be known because they each influence each other. - Turing Halting problem proof when a program is executed using itself as input. - Human self awareness ? If I think about what I'm thinking about what am I thinking about ? - Godel's proof that any formal system strong enough to be useful is either incomplete or inconsistent, to use an analogy he proves this by stating in the language of the system the statement "this statement cannot be proved in this system". If it can be proved the system lied (is inconsistent) or if it cannot be proved the statement is a truth that the system cannot prove and hence the system is incomplete. (Obviously he doesn't use statements like that, he uses facts about the natural numbers but the same principle applies) - Chandelier cells in the brain, thought to contain an internal model of the brain's state. A model of the brain within the brain. Do they contain a model of themselves ? Ok, so if this 'recursion' / 'strange loops' business is mysterious, present at the heart of all interesting systems it must be pretty special, it must require magic or devine intervention to come about, surely ? Nup, simple examples such as the 'game of life' can show amazing complexity and even this sort of 'self awareness' emerging from a simple initial state and a simple set of rules. Best I've got at the moment.