# KEHOME/knowledge/ExamplesBookHierarchy/gd.html # 1999/6/30 # new syntax Sep/29/2002 # Keith Devlin gdhi is begin hierarchy 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