I Am a Strange Loop

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I Am a Strange Loop Page 55

by Douglas R. Hofstadter

exponential explosions

  extensible category system of humans; and representational universality; yielding consciousness

  extra bonus feature of consciousness

  extra-physical nature of consciousness

  F

  F numbers; see also Fibonacci

  fading afterglow of a soul

  failures, perception of one’s own

  faith in one’s own thought processes

  falafel, savored by two brains

  Falen, James

  falsity in mathematics, assumed equivalent to lacking proof

  Fauconnier, Gilles

  Fauré, Gabriel

  fear: of feedback loops; of self-reference; of self-representation in art

  feedback loops; and central goals of living creatures; content-free; and exponential growth; as germ of consciousness; in growth of human self-symbol; as instinctive taboo; irrelevant to hereness, for SL #642; level-crossing; see also strange loops

  feeding a formula its own Gödel number

  feeling one is elsewhere

  feeling posited to be independent of physics

  feeling vs. nonfeeling machines

  feelium, as stuff of experience and sensation

  Feigen, George

  Femme du boulanger, La (Pagnol), indirect meanings carried by analogy in

  Fermat, Pierre de

  Fermat’s Last Theorem, proof of

  fetus having no soul

  Fibonacci (Leonardo di Pisa)

  Fibonacci numbers; perfect mutual avoidance with powers

  fidelity of copy of another’s interiority

  Fields, W. C.

  fine-grained vs. coarse-grained loops

  first-person vs. third-person view of “I”; see also The Hard Problem

  first-person writing style

  fish, respect for life of

  flap loop; photo of

  flexibility, maximal, of machines

  flip side of Mathematician’s Credo

  flipping-around of perceptual system

  flirting with infinity

  float-ball in flush toilet

  fluid pointers

  flush-toilet fill mechanism

  food: for people in virtual environments; for virtual creatures

  fooled by the realism of Drawing Hands

  football: sensation swapped with baseball sensation; on television

  forces: in the brain; in physics; vs. desires

  forest vs. trees

  form–content interplay

  formula fragment in PM

  43 and 49, as uninteresting integers

  foundations of mathematics, quest for stable

  fractalic gestalts of video feedback

  frames as brain structures

  Frank, Anne

  Franklin, Benjamin

  free will: of machine; as opposed to will; overridden by itself

  Free Willie

  Frege, Gottlob

  French people having flipped color qualia

  French translation: of Bach aria words; of “my leg is asleep”

  Freud, Sigmund

  friends: constituting threshold for consciousness; giving rise to “I”; personal identity of; self-inventorying sentences as; sharing of joys and pains of

  Frucht, William

  frustration of one’s will

  funerals, purpose of

  funneling of complex input into few symbols

  fusion, psychic: of Chaplin twins; of halves in Twinwirld; of husband and wife; of souls, as inevitable consequence of long-term intimate sharing

  G

  g (Gödel number of Gödel’s formula); bypassing of; code number of unpennable line in play

  “g is not prim”; see also KG

  galaxies: colliding in cyberspace; colliding in space; emerging from video feedback

  Galileo Galilei

  Galois, Évariste, as radical

  Gandhi, (Mahatma) Mohandas

  gargantuan integers

  gases, behavior of

  gemstones found in the Caspian Sea

  generosity, as bedrock cause for humans

  genes: as abstract entities; human, as source of potential strange loop; as patterns copied in different organisms; as physical entities; as remote from real life

  genetic code

  Gershwin, George

  Giant Electronic Brain

  gleb/knurk fence; see also knurking

  Glosspan, Aunt (in “Pig”)

  Glover, Henry

  glue: on dollops of Consciousness; on envelopes as source of Epi

  gluons

  gluttony vs. weight-watching

  goal-lacking and goal-possessing entities, perceived schism between

  goal-orientedness of systems, blurriness of

  goals of living creatures

  goals, shared

  God: elusiveness of mathematical truth and; not a player of dice; reality of

  Göd

  Gödel, Escher, Bach: central message of; dialogues in; linking author with Bach; typesetting of; video feedback photos in; writing of

  Gödel, Kurt; arithmetizes PM; believer in PM ’s consistency; birthyear of; as black belt; bypasses indexicality; code for PM symbols and formulas; concocts self-referential statement in PM; discovery of strange loop by; “God” in name of; growing up in Brünn; 1931 article of; as re-analyzer of what meaning is; respect for power of PM; sees analogy between Fibonacci numbers and PM theorems; sees causal potency of meaning of strings; sees representational richness of whole numbers; umlaut in name of; as young mathematician

  Gödel numbering; freedom in; revealing secondary meaning of Imp

  Gödel rays

  Gödelian formulas, infinitude of

  Gödelian swirl; ease of transportability; isomorphism of any two, at coarse-grained level; pointers in; see also strange loop

  Gödel’s formula KG: condensability of; described through abbreviations; downward causality and; hiddenness of higher-level view of; high-level and low-level meanings of; higher-level view fantasized as being obvious; inconceivable length of; lack of indexicals in; as repugnant to Bertrand Russell; translated with the indexical pronoun “I”; truth of; unprovability of

  Gödel’s formula KH, for Super-PM

  Gödel’s incompleteness theorem: as proven by Chaitin; as proven by Gödel

  Gödel’s Proof (Nagel and Newman)

  Gödel’s strange loop: as inevitable as video feedback; as prototype for “I”-ness

  Gödel–Turing threshold for universality

  “God’s-eye point of view”

  Goldbach Conjecture; decided by Göru

  Golden Rule

  Goldsmith, John

  good and bad, sense of, in growing self

  Göru: falling short of hopes; machine for solving all mathematical problems; machine for telling prims from non-prims; non-realizability of

  Gott ist unsre Zu versicht (Bach); counterfactual extension of

  Gould, Glenn

  gradations of consciousness

  Graham’s constant

  graininess: in representations of others; in video loops

  grandmother cells

  grand-music neuron

  grass and souls

  grasshopper rescued

  gravitation

  grazing of paradox

  Greater Metropolitan You

  “great soul” as hidden meaning of “magnanimous” and of “Mahatma”

  green button, fear of pushing

  Greg and Karen, Twinwirld couple

  Greg’l and Greg’r

  griffins, uncertain reality of

  “grocery store checkout stand”: causality attached to the concept of; as nested concept; vignette involving

  grocery stores’ meat displays

  growth rules, recursive, defining sequences of numbers

  growth rules, typographical, for strings in PM

  guinea pigs sacrificed for science

  gulf between truth and provability

/>   Gunkel, Pat

  guns fashioned from sandwiches

  Guru, machine that tells primes from non-primes

  Gutman, Hattie

  Gutman, Kellie

  H

  h (Gödel number of Gödel’s formula KH)

  “h is not a super-prim number”

  H1 (robot vehicle)

  halflings in Twinwirld

  hallucination hallucinated by hallucination

  halo: counterfactual, around personal identity; of each soul; of national souls

  halves, left and right, in Twinwirld

  hammerhead shark, location of

  hands-in-water experiment

  hangnails, reality of one’s own

  hardness and roundness of Epi

  Hard Problem, The; see also first-person

  hardware vs. patterns

  “hard-wiring”: of hemispheric links; hypothetically tweaked; of motor control as source of identity; of perceptual hardware as source of identity

  Hastorf, Albert H.

  “he”, as hyped pronoun for robot vehicle

  heart: architecture of; evolution of; summarizable as “a pump”

  Heart Is a Lonely Hunter, The (McCullers)

  heart-shaped bread and heart on collar, analogy between

  heat-seeking missile

  “heavenly body”, vagueness of the term

  hedge maze of life

  Heisenberg, Werner

  heliocentrism vs. geocentrism

  hemisphere, cerebral, as site of a half-self

  hemoglobin molecules, number of in body

  Henkin, Leon

  heredity studied at abstract before physical level

  “hereness”, mystery of, for SL #642; as posed by Derek Parfit and Daniel Dennett

  Herman, Robert

  herrings: blue; red; see also humpback

  hierarchy: of forces in brain; of living creatures; of recursive functions defined by Gödel; of souledness

  higher-level logic, appeal of, to brains

  higher-level meaning: downward causality and;of Gödel’s formula; hiddenness of, for KG; of Imp; obviousness of, for brains; of PM strings, as read by Klüdgerot; of Prince Hyppia’s outburst

  higher-level soul, created in marriage

  high-level view: of brain activity; of careenium; of dog genetics; of domino chainium; eclipsing low-level view; of Gödel’s formula; indispensability of; of life in general; of pixel patterns on TV screen; of traffic jam; of video feedback

  Hilbert, David

  Hilbert program

  “hive spirit”

  Hofstadter, Carol Ann Brush: being Doug; bon mots by; dubious transportability of deepest pointers inside; dying of brain tumor; eye-to-eye with Doug re children; gaze similar to Doug’s; as Indian-dinner giver; interiority of, survival of; love for Prokofiev first violin concerto; memorial service for; memories belonging to, copied inside Doug; personal losses of, as felt by Doug; physical suffering of, shared by Doug; as sharable pattern; soul-shards, survival of, in Doug; thinking with Doug’s brain; thought of in present tense after death; videotapes, as disorienting; washing dishes and replaying dinner party with Doug

  Hofstadter, Daniel; as catalyst to soul merger of parents; internalizing friends’ mannerisms; spotting reverberant parking lot from air; wearing nose-mounted TV camera

  Hofstadter, Douglas: arranging memorial service; assuming Gödel is a male; baffled by Bartók; befriending Nagel family; being on both Mars and Venus; being Carol; belief in logic as key to human mind; column in Scientific American; compiling own index; confusing own memories with those of a friend; consciousness cone of; contradictions in head; copycatting many people; counterfactual versions of; deprived of geometry; different person as time passes; disavowing “meta” motto; driven by form; eating chicken and fish; enraptured by Elvis; exploring number theory; eye-to-eye with Carol re children; fainting in physiology lab; fascination with Gödel; fascination with minds and brains; fascination with self-reference; fear of videotapes of Carol; feeling Carol’s losses; feeling physical suffering of wife; feeling self behind Carol’s eyes; first hearing Chopin; gaze similar to that of Carol; grappling with Carol’s death; growing by accretion; hesitant to close video loop; hitting abstraction ceiling; horsies-and-doggies style; hypothetically buckling under intense pressures of grief; imagining soul as wisp; intoxicated with Bach fugues; intrigued by three threes; jilted; linking own brain with zombie’s; looking at daughter Monica “for Carol”, for “Old-Doug”, for “Old-Carol”; losing faith in logic as key to human mind; love for Chopin and Bach; love for Prokofiev first violin concerto; as meat-eater; mini-samaritanism of; musical taste; as naïve as young careenium; physics background; picking at hangnail; playing piano; programming computer to write sentences; pronoun choices by; rambling on a bit too long; reacting to mother’s grief; reification of, in own and others’ brains; repudiating Parfit’s ideas; running; sadness increasing with age; savoring falafel eaten by sister; seeing sister’s expressions on own face; seeing souls as swirls of haze; sharing wife’s joys; shattered by Carol’s death; shooting elephants and rhinos with gusto; sitting on own lap; slipping back and forth between “classical” and “modern” views of soul; smiling like Hopalong Cassidy; souledness cone of; as specialist in thinking about thinking; speculating about soul mergers; studying languages; swallowing Chinese Room whole; taunted by advanced tomes on logic; teaching symbolic logic to sixth-graders; thrilled by two twos; throwing switches to tamper with own identity; troubled by readings about brains; troubles with mathematics; true to long-term beliefs; vegetarian leanings; vegetarianism oscillations; washing dishes and replaying dinner party with Carol; watching football on TV; wondering what it would be like; work in cognitive science; working for United Farm Workers; writing first dialogue

  Hofstadter, Laura; eating falafel; expressions of, on brother’s face; reacting to photo of father; as sixth-grade student of symbolic logic; vegetarian leanings of

  Hofstadter, Molly

  Hofstadter, Monica; as catalyst to soul merger of parents; internalizing friends’ mannerisms; third birthday of; wearing nose-mounted TV camera

  Hofstadter, Nancy; as All-Wise One to young son Douggie; “being” her husband, with an accent; called by son late at night; giving son Well-Tempered Clavier for sixteenth birthday; grieving over husband; model of her husband; putting on Chopin étude for son; savoring photos of her husband; seeking answers re daughter Molly

  Hofstadter, Oliver; in kennel; movements controlled by joystick; webcam mounted on head of

  Hofstadter, Robert; photo of; possibly living in brain of his son; seeking answers re daughter Molly

  Hofstadter’s Law

  hog, fully reductionistic view of

  Holden Caulfield: personal gemma of; symbol for, inside brain of J. D. Salinger

  hole in PM

  Holiday, Billie

  “holons”

  honking in traffic jam

  Hopalong Cassidy smile, tested out on classmates

  hopes and aspirations of sunflowers

  hopes and dreams, sharable as similar patterns in different brains

  Horney, Karen

  horse, limping and being beaten

  horsies-and-doggies style of writing

  Houdini, Harry

  “How real is X?”

  human beings as representationally universal machines

  human condition; as belief in a myth; naïve view of; tied to coarse-grainedness of human perception; trapped in a quandary

  human identity, video metaphor for

  humpback, blue

  Huneker, James

  hunekers, as measure of souledness

  hunekometer

  hurricane as swirling pattern

  hype about robot vehicle Stanley

  hypothetical syllogism

  I

  i, Gödel number of Imp

  “i” (half-pairson pronoun in Twinwirld)

  “I”: analogous to Gödel’s strange loop;
of another, as perceived by oneself; artificial; automatic consequence of perception; of baby; born out of generosity; as brain-independent essence; capitalization of; certain existence of; coarse-grained perception as crucial for; as commonsense belief of average person; denoting a couple; disintegration of; as efficient shorthand; as emerging from gloom; “empty” case of; flitting from brain to brain; “freely” overriding own will; as fusion of two hemispheres; germ of; growth of, over time; as hallucination; as illusion; indexicality of; indispensability of illusion of; infinitesimal changes in, over time; influenced by closest other “I” ’s; as lacking “God’s-eye view”; launching actions and receiving feedback; likened to epiphenomenal marble; as linguistic reflexes; locking-in of; as locus of causality; main brain of; missing from mosquito brain; more than one, per brain; as “most real” of all things; mystification of; as myth, self-reinforcing; needed, in order to be; not a crutch to be tossed later; not findable in physical activity; as outcome, not starting point; paradoxicality of; of particle physicist is no less entrenched; perceived as prime mover; as plural pronoun; questionable reality of; of robot vehicle; shades of gray in; in Siamese Twinwirld; simultaneously abstract and physical; spread out among many brains; as straightforward concept; as strange loop; as Strange-Loop City; as summary of much downward causality; survival value of illusion of; of symbols for other people; as third-person entity; as transportable from brain to brain; in Twinwirld; as unavoidable illusion; unbreakable feeling of; as unified representation of hopes, beliefs, etc.; vs. “i” and “Twe”

  I Am a Strange Loop: analogies in; dialogues in; form–content interplay in; new ideas in; origins of; title of; zombie perspective advocated in

  “I am alive” as reflex statement

  “I am edible”/“I am inedible”

  “I am large, I contain multitudes” (Whitman)

  “I am lying”

  “I am not a theorem”

  “I am thirsty”, written on beer can

  “I am unprovable”

  I Am You (Kolak)

  “I at the Center” (Oleson)

  “I can’t tell you X”, as paradoxical phrase

  Icelandic language, presumed opacity of

  idealized image of oneself

  ideas: causal potency of; interaction among

  identical twins in Twinwirld

  identical twinns in Twinwirld, tendency to split apart

  identity, see personal identity

  “if… then…”, formalization of

  “i is not prim”

  “I”-less mode of being human

 

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