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    I Am a Strange Loop


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      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’s


      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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