Gödel, Escher, Bach: An Eternal Golden Braid
Douglas 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.
The structure of the Dialogue Little Harmonic Labyrinth
Recursive Transition Networks for ORNATE NOUN and FANCY NOUN
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Achilles answer Anteater ants arithmetical axiom Babbage Bach BlooP brain Buddha-nature called cell Chapter chess chunked Church-Turing Thesis colony complex Crab Canon derivation Dialogue enzyme Epimenides paradox example fact FANCY NOUN fantasy FIGURE FlooP formal system formula fugue geometry Gödel Gödel number Gödel's Theorem happens high-level HOLISM human idea infinite inside instance intelligence interpretation isomorphism kind kōan look M. C. Escher machine language mathematicians mathematics matter meaning mind MIU-system Mumon natural numbers neurons notion number theory paradox perhaps piece play pq-system problem procedure proof Propositional Calculus proteins question reason record player recursive rules rules of inference seems sense sentence SHRDLU simple statement Strange Loops string structure symbols tell things thought tion Tortoise translation triggering true Turing typographical understand variable well-formed words