The Emperor's New Mind: Concerning Computers, Minds, and the Laws of PhysicsWill a computer eventually be able to do everything a human can do? For decades, proponents of artificial intelligence have argued yes. In The Emperor'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 topics -- complex numbers, black holes, entropy, quasicrystals, the structure of the brain, and the physical processes of consciousness -- Penrose demonstrates that laws even more wondrously complex than those of quantum mechanics are essential for the operation of a mind. |
Contents
Prologue | 1 |
Algorithms and Turing machines | 30 |
Mathematics and reality | 74 |
Copyright | |
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according actually algorithm amplitude 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 Gödel gravitational Hamiltonian Hilbert space idea infinite initial kind large number light cone linear superposition low entropy Mandelbrot set mathematical truth mathematician measurement momentum motion natural numbers neuron Newtonian normally notation observer operation particle particular perhaps phase space photon physical physicists picture position precise principle probability problem procedure propositions quantum mechanics quantum theory question real numbers recursively enumerable referred region Riemann sphere Schrödinger's equation second law seems sense simply slits space-time special relativity spin square state-vector strong AI suppose tape theorem things tiles Turing machine Turing test vector viewpoint wavefunction WEYL world-lines