The Emperor's New Mind: Concerning Computers, Minds, and the Laws of PhysicsIn "The Emporer's New Mind," eminent physicist Roger Penrose argues that there are facets of human thinking, of human imagination, that can never be emulated by a machine. Exploring a dazzling array of topicscomplex numbers, black holes, entropy, quasicrystals, the structure of the brain, and the physical processes of consciousnessPenrose demonstrates that laws even more wondrously complex than those of quantum mechanics are essential for the operation of a mind. 
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Review: The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics
User Review  Jonathan Chuang  GoodreadsAlthough this book brought to my attention some interesting ideas, I felt that as a whole, these ideas weren't communicated very succinctly or convincingly. I was constantly annoyed by the copious ... Read full review
Review: The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics
User Review  Hullabaloo  Goodreadsthis book deserves proud because of that it includes a lot of new knowledge about computer science Read full review
Contents
Prologue  1 
Algorithms and Turing machines  30 
Mathematics and reality  74 
Copyright  
8 other sections not shown
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according actually algorithm amplitude answer Argand plane argument atoms behaviour big bang binary black hole brain calculation Chapter classical complex numbers complicated concept consciousness consider cortex described device digits direction effect Einstein's electron energy entropy equations Euclidean example fact field finite formal system geometry Godel gravitational Hamiltonian Hilbert space idea infinite initial kind large number light cone linear superposition Mandelbrot set mathematical truth mathematician Maxwell's equations measurement momentum motion natural numbers neuron Newtonian normally notation objects observer operation particle particular perhaps phase space photon physical physicists picture position precise principle probability problem procedure propositions quantum gravity quantum mechanics quantum theory question real numbers recursively enumerable referred region Riemann sphere second law seems sense simply slits spacetime special relativity spin square statevector suppose tape theorem things Turing machine Turing test universe vector viewpoint wavefunction WEYL worldlines