The Emperor's New Mind: Concerning Computers, Minds, And The Laws Of Physics [DJVU]

E-Book Information

• Year: 1,991

• Pages: 480

• Pages In File: 480

• Language: English

• Topic: 69

• Issue: до 2011-01

• Identifier: 0140145346,9780140145342

• Ddc: 6

• Lcc: Q335 .P413 1991

• Dpi: 600

• Org File Size: 6,265,507

• Extension: djvu

• Toc: The Emperor's New Mind......Page p0003.djvu copyright......Page p0004.djvu Foreword......Page p0005.djvu on reading mathematical equations......Page p0008.djvu Acknowledgements & Dedication......Page p0009.djvu Figure acknowledgements......Page p0010.djvu Contents......Page p0011.djvu Prologue......Page p1.djvu Introduction......Page p3.djvu The Turing test......Page p5.djvu Artificial intelligence......Page p11.djvu An AI approach to 'pleasure' and 'pain'......Page p14.djvu Strong AI and Searle's Chinese room......Page p17.djvu Hardware and software......Page p23.djvu Background to the algorithm concept......Page p30.djvu Turing's concept......Page p35.djvu Binary coding of numerical data......Page p42.djvu The Church-Turing Thesis......Page p47.djvu Numbers other than natural numbers......Page p49.djvu The universal Turing machine......Page p51.djvu The insolubility of Hilbert's problem......Page p57.djvu How to outdo an algorithm......Page p64.djvu Church's lambda calculus......Page p66.djvu The land of Tor'Bled-Nam......Page p74.djvu Real numbers......Page p80.djvu How many real numbers are there?......Page p82.djvu 'Reality' of real numbers......Page p86.djvu Complex numbers......Page p87.djvu Construction of the Mandelbrot set......Page p92.djvu Platonic reality of mathematical concepts?......Page p94.djvu Hilbert's programme for mathematics......Page p99.djvu Formal mathematical systems......Page p102.djvu Gödel's theorem......Page p105.djvu Mathematical insight......Page p108.djvu Platonism or intuitionism?......Page p112.djvu Gödel-type theorems from Turing's result......Page p116.djvu Recursively enumerable sets......Page p118.djvu Is the Mandelbrot set recurslye?......Page p124.djvu Some examples of non-recursive mathematics......Page p129.djvu Is the Mandelbrot set like non-recursive mathematics?......Page p138.djvu Complexity theory......Page p140.djvu Complexity and computability in physical things......Page p145.djvu The status of physical theory......Page p149.djvu Euclidean geometry......Page p156.djvu The dynamics of Galileo and Newton......Page p162.djvu The mechanistic world of Newtonian dynamics......Page p167.djvu Is life in the billiard-ball world computable?......Page p170.djvu Hamiltonian mechanics......Page p174.djvu Phase space......Page p176.djvu Maxwell's electromagnetic theory......Page p184.djvu Computability and the wave equation......Page p187.djvu The Lorentz equation of motion; runaway particles......Page p188.djvu The special relativity of Einstein and Poincare......Page p191.djvu Einstein's general relativity......Page p202.djvu Relativistic causality and determinism......Page p211.djvu Computability in classical physics: where do we stand?......Page p216.djvu