Gödel, Escher, Bach. Anniversary Edition: An Eternal Golden BraidDouglas Hofstadter’s book is concerned directly with the nature of "maps” or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more. 
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Review: Gödel, Escher, Bach: An Eternal Golden Braid
User Review  GoodreadsThe most amazing book I've ever read. Read full review
Review: Gödel, Escher, Bach: An Eternal Golden Braid
User Review  GoodreadsThis book was great!! It links together the mathematics of Kurt Gödel, the art of MC Escher, and the music of JS Bach in an "Eternal golden braid," following themes of formal logic, selfreference ... Read full review
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Achilles answer Anteater axiom Babbage Bach BlooP Bongard problem brain Buddhanature called cell Chapter chess chunked ChurchTuring Thesis complex concepts copy course Crab Canon Dialogue enzyme Epimenides paradox Eta Oin example fact FIGURE FlooP formal system formula fugue geometry Godel number Godel's Theorem happens human idea infinite inside instance intelligence interpretation involves isomorphism kind koan look M. C. Escher machine language mathematicians mathematics meaning mind MlUsystem natural numbers neurons notion number theory paradox patterns perhaps piece play pqsystem procedure proof Propositional Calculus proteins question reason record player recursive ribosome rules seems selfreference selfrep sense sentence SHRDLU simple Sloth smartstupid statement Strange Loops string structure symbols tell theme things thought tion Tony Earrwig Tortoise translation triggering true Turing typographical understand words