I Am a Strange Loop

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by Douglas R. Hofstadter




  Table of Contents

  Praise

  Title Page

  Dedication

  A note from the Publisher

  WORDS OF THANKS

  PREFACE

  PROLOGUE

  CHAPTER 1 - On Souls and Their Sizes

  Soul-Shards

  What Is It Like to Be a Tomato?

  Guinea Pig

  Pig

  Revulsion, Revelation, Revolution

  Reversion, Re-evolution

  The Mystery of Inanimate Flesh

  Give Me Some Men Who Are Stouter-souled Men

  Small-souled and Large-souled Humans

  Hattie the Chocolate Labrador

  Ollie the Golden Retriever

  Where to Draw that Fateful, Fatal Line?

  Interiority — What Has it, and to What Degree?

  The Gradual Growth of a Soul

  Lights On?

  Post Scriptum

  CHAPTER 2 - This Teetering Bulb of Dread and Dream

  What Is a “Brain Structure”?

  A Simple Analogy between Heart and Brain

  Can Toilet Paper Think?

  The Terribly Thirsty Beer Can

  Levels and Forces in the Brain

  Who Shoves Whom Around Inside the Cranium?

  Thermodynamics and Statistical Mechanics

  Thinkodynamics and Statistical Mentalics

  CHAPTER 3 - The Causal Potency of Patterns

  The Prime Mover

  The Causal Potency of Collective Phenomena

  Neurons and Dominos

  Patterns as Causes

  The Strange Irrelevance of Lower Levels

  A Hat-tip to the Spectrum of Unpredictability

  The Careenium

  Simmballism

  Taking the Reductionistic View of the Careenium

  Taking a Higher-level View of the Careenium

  Who Shoves Whom Around inside the Careenium?

  The Dance of the Simmballs

  CHAPTER 4 - Loops, Goals, and Loopholes

  The First Flushes of Desire

  A Soccer Ball Named Desire

  The Slippery Slope of Teleology

  Feedback Loops and Exponential Growth

  Fallacy the First

  Fallacy the Second

  Feedback and Its Bad Rap

  God, Gödel, Umlauts, and Mystery

  Savoring Circularity and Self-application

  The Timid Theory of Types

  Intellectuals Who Dread Feedback Loops

  CHAPTER 5 - On Video Feedback

  Two Video Voyages, Three Decades Apart

  Diary of a Video Trip

  Enigmatic, Emergent Reverberation

  Feeding “Content” to the Loop

  A Mathematical Analogue

  The Phenomenon of “Locking-in”

  Emergent New Realities of Video Feedback

  CHAPTER 6 - Of Selves and Symbols

  Perceptual Looping as the Germ of “I”-ness

  Varieties of Looping

  Reception versus Perception

  Mosquito Symbols

  Mosquito Selves

  An Interlude on Robot Vehicles

  Pondering Dogthink

  The Radically Different Conceptual Repertoire of Human Beings

  Episodic Memory

  CHAPTER 7 - The Epi Phenomenon

  As Real as it Gets

  Concrete Walls and Abstract Ceilings

  The Many-faceted Intellectual Grounding of Reality

  No Luck, No Soap, No Dice

  An Out-of-the-Blue Ode to My Old Friend Epi

  No Sphere, No Radius, No Mass

  Where the Buck Seems to Stop

  The Prime Mover, Redux

  God’s Eye versus the Careenium’s Eye

  I Am Not God

  CHAPTER 8 - Embarking on a Strange-Loop Safari

  Flap Loop, Lap Loop

  Seeking Strange Loopiness in Escher

  Seeking Strange Loops in Feedback

  Seeking Strange Loops in the Russellian Gloom

  Mr Berry of the Bodleian

  I Can’t Tell You How Indescribably Nondescript It Was!

  Blurriness Buries Berry

  A Peanut-butter and Barberry Sandwich

  An Autobiographical Snippet

  Idealistic Dreams about Metamathematics

  Post Scriptum

  CHAPTER 9 - Pattern and Provability

  Principia Mathematica and its Theorems

  Mixing Two Unlikely Ideas: Primes and Squares

  Pattern-hunting

  People who Pursue Patterns with Perseverance

  Where There’s Pattern, There’s Reason

  Sailing the Ocean of Primes and Falling off the Edge

  The Mathematician’s Credo

  No Such Thing as an Infinite Coincidence

  The Long Search for Proofs, and for their Nature

  CHAPTER 10 - Gödel’s Quintessential Strange Loop

  Gödel Encounters Fibonacci

  The Caspian Gemstones: An Allegory

  A Tiny Spark in Gödel’s Brain

  Clever Rules Imbue Inert Symbols with Meaning

  Mechanizing the Mathematician’s Credo

  Miraculous Lockstep Synchrony

  Flipping between Formulas and Very Big Integers

  Very Big Integers Moving in Lock-step with Formulas

  Glimmerings of How PM Can Twist Around and See Itself

  Prim Numbers

  The Uncanny Power of Prim Numbers

  Gödelian Strangeness

  How to Stick a Formula’s Gödel Number inside the Formula

  Gödel’s Elephant-in-Matchbox Trick via Quine’s Analogy

  The Trickiest Step

  An Elephant in a Matchbox is Neither Fish Nor Fowl

  Sluggo and the Morton Salt Girl

  CHAPTER 11 - How Analogy Makes Meaning

  The Double Aboutness of Formulas in PM

  Extra Meanings Come for Free, Thanks to You, Analogy!

  Exploiting the Analogies in Everyday Situations

  The Latent Ambiguity of the Village Baker’s Remarks

  Chantal and the Piggybacked Levels of Meaning

  Pickets at the Posh Shop

  Prince Hyppia: Math Dramatica

  Analogy, Once Again, Does its Cagey Thing

  How Can an “Unpennable” Line be Penned?

  “Not” is Not the Source of Strangeness

  Numbers as a Representational Medium

  CHAPTER 12 - On Downward Causality

  Bertrand Russell’s Worst Nightmare

  A Strange Land where “Because” Coincides with “Although”

  Incompleteness Derives from Strength

  Bertrand Russell’s Second-worst Nightmare

  An Endless Succession of Monsters

  Consistency Condemns a Towering Peak to Unscalability

  Downward Causality in Mathematics

  Göru and the Futile Quest for a Truth Machine

  The Upside-down Perceptions of Evolved Creatures

  Stuck, for Better or Worse, with “I”

  Proceeding Slowly Towards the Bottom Level

  Of Hogs, Dogs, and Bogs

  CHAPTER 13 - The Elusive Apple of My “I”

  The Patterns that Constitute Experience

  Reflected Communist Bachelors with Spin 1/2 are All Wet

  Am I a Strange Marble?

  A Pearl Necklace I Am Not

  I Am My Brain’s Most Complex Symbol

  Internalizing Our Weres, Our Wills, and Our Woulds

  I Cannot Live without My Self

  The Slow Buildup of a Self

  Making Tosses, Internalizing Bounces

  Smiling Like Hopalong Cassidy

  The Lies in our I’sr />
  The Locking-in of the “I” Loop

  I Am Not a Video Feedback Loop

  I Am Ineradicably Entrenched…

  …But Am I Real?

  The Size of the Strange Loop that Constitutes a Self

  The Supposed Selves of Robot Vehicles

  A Counterfactual Stanley

  CHAPTER 14 - Strangeness in the “I” of the Beholder

  The Inert Sponges inside our Heads

  Squirting Chemicals

  The Stately Dance of the Symbols

  In which the Alfbert Visits Austranius

  Brief Debriefing

  Soaps in Sanskrit

  Winding Up the Debriefing

  Trapped at the High Level

  First Key Ingredient of Strangeness

  Second Key Ingredient of Strangeness

  Sperry Redux

  CHAPTER 15 - Entwinement

  Multiple Strange Loops in One Brain

  Content-free Feedback Loops

  Baby Feedback Loops and Baby “I” ’s

  Entwined Feedback Loops

  One Privileged Loop inside our Skull

  Shared Perception, Shared Control

  A Twirlwind Trip to Twinwirld

  Is One or Two Letters of the Alphabet?

  Pairsonal Identity in Twinwirld

  “Twe”-tweaking by Twinwirld-twiddling

  Post Scriptum re Twinwirld

  Soulmates and Matesouls

  Children as Gluons

  CHAPTER 16 - Grappling with the Deepest Mystery

  A Random Event Changes Everything

  Desperate Lark

  Post Scriptum

  CHAPTER 17 - How We Live in Each Other

  Universal Machines

  The Unexpectedness of Universality

  Universal Beings

  Being Visited

  Chemistry and Its Lack

  Copycat Planetoids Grow by Absorbing Melting Meteorites

  How Much Can One Import of Another’s Interiority?

  Double-clicking on the Icon for a Loved One’s Soul

  Thinking with Another’s Brain

  Mosaics of Different Grain Size

  Transplantation of Patterns

  CHAPTER 18 - The Blurry Glow of Human Identity

  I Host and Am Hosted by Others

  Feeling that One is Elsewhere

  Telepresence versus “Real” Presence

  Which Viewpoint is Really Mine?

  Where Am I?

  Varying Degrees of Being Another

  The Naïve Viewpoint is Usually Good Enough

  Where Does a Hammerhead Shark Think it is?

  Sympathetic Vibrations

  Am I No One Else or Am I Everyone Else?

  Interpenetration of National Souls

  Halos, Afterglows, Coronas

  CHAPTER 19 - Consciousness = Thinking

  So Where’s Consciousness in my Loopy Tale?

  Enter the Skeptics

  Symbols Trigger More Symbols

  The Central Loop of Cognition

  CHAPTER 20 - A Courteous Crossing of Words

  CHAPTER 21 - A Brief Brush with Cartesian Egos

  Well-told Stories Pluck Powerful Chords

  What Pushovers We Are!

  Teleportation of a Thought Experiment across the Atlantic

  The Murky Whereabouts of Cartesian Egos

  Am I on Venus, or Am I on Mars?

  The Radical Nature of Parfit’s Views

  Self-confidence, Humility, and Self-doubt

  Morphing Parfit into Bonaparte

  The Radical Redesign of Douglas R. Hofstadter

  On “Who” and on “How”

  Double or Nothing

  Trains Who Roll

  The Glow of the Soular Corona

  CHAPTER 22 - A Tango with Zombies and Dualism

  Pedantic Semantics?

  Two Machines

  Two Daves

  The Nagging Worry that One Might Be a Zombie

  Consciousness Is Not a Power Moonroof

  Liphosophy

  Consciousness: A Capitalized Essence

  A Sliding Scale of Élan Mental

  Semantic Quibbling in Universe Z

  Quibbling in Universe Q

  CHAPTER 23 - Killing a Couple of Sacred Cows

  A Cerulean Sardine

  Bleu Blanc Rouge = Red, White, and Blue

  Inverting the Sonic Spectrum

  Glebbing and Knurking

  The Inverted Political Spectrum

  Violets Are Red, Roses Are Blue

  A Scarlet Sardine

  Yes, People Want Things

  The Hedge Maze of Life

  There’s No Such Thing as a Free Will

  CHAPTER 24 - On Magnanimity and Friendship

  Are There Small and Large Souls?

  From the Depths to the Heights

  The Magnanimity of Albert Schweitzer

  Does Conscience Constitute Consciousness?

  Albert Schweitzer and Johann Sebastian Bach

  Dig that Profundity!

  Alle Grashüpfer Müssen Sterben

  Friends

  EPILOGUE

  NOTES

  BIBLIOGRAPHY

  Acknowledgements

  INDEX

  Copyright Page

  Praise for I Am A Strange Loop

  “[F]ascinating . . . original and thought-provoking . . . [T]here are many pleasures in I Am a Strange Loop.”

  — Wall Street Journal

  “I Am a Strange Loop scales some lofty conceptual heights, but it remains very personal, and it’s deeply colored by the facts of Hofstadter’s later life. In 1993 Hofstadter’s wife Carol died suddenly of a brain tumor at only 42, leaving him with two young children to care for . . . I Am a Strange Loop is a work of rigorous thinking.”

  — Time

  “Almost thirty years after the publication of his well-loved Gödel, Escher, Bach, Hofstadter revisits some of the same themes. The purpose of the new book is to make inroads into the nexus of self, self-awareness and consciousness by examining self-referential structures in areas as diverse as art and mathematics. Hofstadter is the man for the job. His treatment of issues is approachable and personal, you might even say subj ective. His discussion is never overtechnical and his prose never over-bearing. He stays close to the surface of real life at all times, even as he discusses matters of the highest level of abstraction, and his book is full of fresh and rich real-life examples that give texture and authenticity to the discussion.”

  — Times Literary Supplement, London

  “[P]leasant and intriguing . . . Hofstadter is a supremely skillful master of an educational alchemy that can, at the turn of the page, transform the most abstract and complex of thoughts into a digestible idea that is both fun and interesting . . . Hofstadter’s good humor and easygoing style make it a real pleasure to read from start to finish.”

  — Times Higher Education Supplement, London

  “I Am a Strange Loop contains many profound and unique insights on the question of who we are. In addition, it is a delightful read.”

  — Physics Today

  “I Am a Strange Loop is vintage Hofstadter: earnest, deep, overflowing with ideas, building its argument into the experience of reading it — for if our souls can incorporate those of others, then I Am a Strange Loop can transmit Hofstadter’s into ours. And indeed, it is impossible to come away from this book without having introduced elements of his point of view into our own. It may not make us kinder or more compassionate, but we will never look at the world, inside or out, in the same way again.”

  — Los Angeles Times Book Review

  “Nearly thirty years after his best-selling book Gödel, Escher, Bach, cognitive scientist and polymath Douglas Hofstadter has returned to his extraordinary theory of self.”

  — New Scientist

  “I Am a Strange Loop is thoughtful, amusing and infectiously enthusiastic.”

  — Bloomberg News

  “[P]rovocative and heroi
cally humane . . . it’s impossible not to experience this book as a tender, remarkably personal and poignant effort to understand the death of his wife from cancer in 1993 — and to grasp how consciousness mediates our otherwise ineffable relationships. In the end, Hofstadter’s view is deeply philosophical rather than scientific. It’s hopeful and romantic as well, as his model allows one consciousness to create and maintain within itself true representations of the essence of another.”

  — Publishers Weekly Starred Review

  “[Hofstadter’s] new book, as brilliant and provocative as earlier ones, is a colorful mix of speculations with passages of autobiography.”

  — Martin Gardner in Notices of the American Mathematical Society

  “Why am I inside this body and not in a different one? This is among the most irresistible and fascinating questions humanity has ever asked, according to Douglas Hofstadter. His latest book I Am a Strange Loop asks many more challenging questions: Are our thoughts made of molecules? Could a machine be confused? Could a machine know it was confused? — until it ties you in loops. If you enjoy such brain-bending questions and are willing to struggle with some deep mathematical ideas along the way, then you’ll certainly enjoy this book . . . (I)f this book works its magic on you, you will no longer want to ask ‘why am I inside this body and not a different one?’ because you’ll know what it means to be just a strange loop.”

  — BBC Focus

  “Hofstadter introduces new ideas about the self-referential structure of consciousness and offers a multifaceted examination of what an ‘I’ is. He conveys abstract, complicated ideas in a relaxed, conversational manner and uses many first-person stories and personal examples as well as two Platonic dialogs. Though Hofstadter admits he writes for the general educated public, he also hopes to reach professional philosophers interested in the epistemological implications of selfhood.”

 

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