# KEHOME/knowledge/ExamplesBookHierarchy/gd.html # Apr/10/2003 # Keith Devlin begin hierarchy gdhi; book; / Goodbye, Descartes; Goodbye, Descartes; / Preface; / 1 Patterns of Mind; // We all do it; // Patterns of thought; // Logic and language; // The language wall; // The logic wall; // Roger: the irrational man of logic; // Against all odds; // The moral of the lost car keys; / 2 A Passion for Order; // The square on the hypotenuse; // The arrow and the tortoise; // Bricks in a building; // The first and the second; // The all and the some; // The fine print; / 3 The Laws of Thought; // Mathematical logic -- the very idea; // Dialectica, dialectica; // The logic of William Ockham and Pseudo-Scot; // Adolescence, English puns, and a loss of favor; // The logic of Leibniz; // The calm before the storm; // Euclid falters and axiomatic logic comes back into favor; // Algebra spreads its wings; / 4 From Symbols to Silicon; // Symbols of the mind; // The Boolean bandwagon; // Splitting the logical atom; // The golden age; // Language stripped to the bone; // Searching for meaning; // The computational mind of A. M. Turing; // Logic in silicon; // Shadows of a wheel; / 5 The Science of Language; // A way with words; // What is linguistics?; // A new science is born; // The American way; // Myths of Hopi time and Eskimo snow; // Too many sentences; / 6 Language in the Mind; // The revolution by the Charles River; // The linguistic patterns Chomsky wove; // How can children learn language so easily?; // The language instinct; // Things your teacher got wrong; // The linguistic patterns shared by all mankind; / 7 Machines That Think; // Smart machines?; // Alan Turing's IQ test for computers; // The computer that proved theorems; // How to get a computer to act smart; // Machines that answer back; // Bursting bubbles; // Silicon experts; // Reasons of the heart; / 8 Communication Is the Key; // Beyond Chomsky; // Photocopy machines and air-traffic control; // The meaning of it all; // How big is big?; // A failure to communicate; // Coming to terms with the situation; / 9 Verbal Tangos; // Er, umm, maybe, all right then; // The fine power of a culture; // But you know what I mean?; // The elephant's trunk; // Conversation -- from lost art to new science; // The logic of conversation; // The hidden meanings in what we say; // Building on common ground; // Steps in the verbal tango; // Can there be an algebra of conversation?; / 10 The Cheshire Cat's Grin; // The informational stance; // The Cheshire Cat's grin; // Acting according to type; // It's common knowledge; // The Liar Paradox; / 11 Goodbye, Descartes; // Leaving the omega; // Beyond logic; // The puzzle of rationality; // Understanding language; // Goodbye, Descartes; // Plato's cave; // Soft mathematics; // What is understanding?; // The soft mathematician's toolbox; / Selected Further Reading; / Index; end hierarchy gdhi;