Metamagical Themas,9780465045402

Metamagical Themas

by
ISBN13: 9780465045402
ISBN10: 0465045405
Format: Nonspecific Binding
Pub. Date: 2008-08-04
Publisher(s): Hachette
List Price: $34.23

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Summary

The distinguished mathematician offers meditations on mind, creativity, artificial intelligence, and other tops, fusing humor, hard thought, and analysis and ranging from Rubik's cube to the genetic code

Table of Contents

Long Contents ix
List of Illustrations
xiii
Notes on the Cover xviii
Introduction xxii
Section I: Snags and Snarls
On Self-Referential Sentences
5(20)
Self-Referential Sentences: A Follow-Up
25(24)
On Viral Sentences and Self-Replicating Structures
49(21)
Nomic: A Self-Modifying Game Based on Reflexivity in Law
70(21)
Section II: Sense and Society
World Views in Collision: The Skeptical Inquirer versus the National Enquirer
91(24)
On Number Numbness
115(21)
Changes in Default Words and Images, Engendered by Rising Consciousness
136(23)
A Person Paper on Purity in Language
159(14)
Section III: Sparking and Slipping
Pattern, Poetry, and Power in the Music of Frederic Chopin
173(18)
Parquet Deformations: A Subtle, Intricate Art Form
191(22)
Stuff and Nonsense
213(19)
Variations on a Theme as the Crux of Creativity
232(28)
Metafont, Metamathematics, and Metaphysics
260(41)
Section IV: Structure and Strangeness
Magic Cubology
301(28)
On Crossing the Rubicon
329(35)
Mathematical Chaos and Strange Attractors
364(32)
Lisp: Atoms and Lists
396(14)
Lisp: Lists and Recursion
410(15)
Lisp: Recursion and Generality
425(30)
Heisenberg's Uncertainty Principle and the Many-Worlds Interpretation of Quantum Mechanics
455(28)
Section V: Spirit and Substrate
Review of Alan Turing: The Enigma
483(9)
A Coffeehouse Conversation on the Turing Test
492(34)
On the Seeming Paradox of Mechanizing Creativity
526(21)
Analogies and Roles in Human and Machine Thinking
547(57)
Who Shoves Whom Around Inside the Careenium?
604(27)
Waking Up from the Boolean Dream, or, Subcognition as Computation
631(40)
Section VI: Selection and Stability
The Genetic Code: Arbitrary?
671(29)
Undercut, Flaunt, Pounce, and Mediocrity: Psychological Games with Numbers
700(15)
The Prisoner's Dilemma Computer Tournaments and the Evolution of Cooperation
715(24)
Section VII: Sanity and Survival
Dilemmas for Superrational Thinkers, Leading Up to a Luring Lottery
739(17)
Irrationality Is the Square Root of All Evil
756(11)
The Tale of Happiton
767(14)
The Tumult of Inner Voices, or, What is the Meaning of the Word ``I''?
781(16)
Epilogue 797(5)
Bibliography 802(19)
Acknowledgments 821(3)
Index 824

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