Turtles all the way down
Encyclopedia
"Turtles all the way down" is a jocular expression of the infinite regress
Infinite regress
An infinite regress in a series of propositions arises if the truth of proposition P1 requires the support of proposition P2, the truth of proposition P2 requires the support of proposition P3, .....

 problem in cosmology
Cosmology
Cosmology is the discipline that deals with the nature of the Universe as a whole. Cosmologists seek to understand the origin, evolution, structure, and ultimate fate of the Universe at large, as well as the natural laws that keep it in order...

 posed by the "unmoved mover
Unmoved mover
The unmoved mover is a philosophical concept described by Aristotle as a primary cause or "mover" of all the motion in the universe. As is implicit in the name, the "unmoved mover" is not moved by any prior action...

" paradox. The phrase was popularized by Stephen Hawking
Stephen Hawking
Stephen William Hawking, CH, CBE, FRS, FRSA is an English theoretical physicist and cosmologist, whose scientific books and public appearances have made him an academic celebrity...

 in 1988. The "turtle
Turtle
Turtles are reptiles of the order Testudines , characterised by a special bony or cartilaginous shell developed from their ribs that acts as a shield...

" metaphor in the anecdote represents a popular notion of a "primitive cosmological myth", viz. the flat earth
Flat Earth
The Flat Earth model is a belief that the Earth's shape is a plane or disk. Most ancient cultures have had conceptions of a flat Earth, including Greece until the classical period, the Bronze Age and Iron Age civilizations of the Near East until the Hellenistic period, India until the Gupta period ...

 supported on the back of a World Turtle
World Turtle
The World Turtle is a mytheme of a giant turtle supporting or containing the world. The mytheme, which is similar to that of the World Elephant and World Serpent, occurs in Hindu, Chinese, and Native American mythology...

.

A comparable metaphor describing the circular cause and consequence for the same problem is the "chicken and egg problem".
Another metaphor addressing the problem of infinite regression, albeit not in a cosmological context, is Quis custodiet ipsos custodes?
Quis custodiet ipsos custodes?
' is a Latin phrase traditionally attributed to the Roman poet Juvenal from his Satires , which is literally translated as "Who will guard the guards themselves?" Also sometimes rendered as "Who watches the watchmen?", the phrase has other idiomatic translations and adaptations such as "Who will...

The same problem in epistemology is known as the Münchhausen Trilemma.

Origin

The origins of the turtle story are uncertain.

The most widely known version appears in Stephen Hawking
Stephen Hawking
Stephen William Hawking, CH, CBE, FRS, FRSA is an English theoretical physicist and cosmologist, whose scientific books and public appearances have made him an academic celebrity...

's 1988 book A Brief History of Time
A Brief History of Time
A Brief History of Time is a popular science book written by renown physicist Stephen Hawking and first published by the Bantam Dell Publishing Group in 1988. It became a best-seller and has sold more than 10 million copies...

,
which starts:
There is an allusion to the story in David Hume
David Hume
David Hume was a Scottish philosopher, historian, economist, and essayist, known especially for his philosophical empiricism and skepticism. He was one of the most important figures in the history of Western philosophy and the Scottish Enlightenment...

's Dialogues Concerning Natural Religion
Dialogues Concerning Natural Religion
Dialogues Concerning Natural Religion is a philosophical work written by the Scottish philosopher David Hume. Through dialogue, three fictional characters named Demea, Philo, and Cleanthes debate the nature of God's existence...

(published in 1779):
In 1905, Oliver Corwin Sabin, Bishop of the Evangelical Christian Science
Christian Science
Christian Science is a system of thought and practice derived from the writings of Mary Baker Eddy and the Bible. It is practiced by members of The First Church of Christ, Scientist as well as some others who are nonmembers. Its central texts are the Bible and the Christian Science textbook,...

 Church, wrote:
In J. R. (Haj) Ross
John R. Ross
John Robert "Haj" Ross is a linguist who played a part in the development of generative semantics along with George Lakoff, James D. McCawley, and Paul Postal...

's 1967 linguistics
Linguistics
Linguistics is the scientific study of human language. Linguistics can be broadly broken into three categories or subfields of study: language form, language meaning, and language in context....

 dissertation, Constraints on Variables in Syntax, the scientist is identified as the Harvard psychologist
Psychologist
Psychologist is a professional or academic title used by individuals who are either:* Clinical professionals who work with patients in a variety of therapeutic contexts .* Scientists conducting psychological research or teaching psychology in a college...

 and philosopher William James
William James
William James was a pioneering American psychologist and philosopher who was trained as a physician. He wrote influential books on the young science of psychology, educational psychology, psychology of religious experience and mysticism, and on the philosophy of pragmatism...

. Of the story's provenance, Ross writes:
This quote also appears in Robert Anton Wilson
Robert Anton Wilson
Robert Anton Wilson , known to friends as "Bob", was an American author and polymath who became at various times a novelist, philosopher, psychologist, essayist, editor, playwright, poet, futurist, civil libertarian and self-described agnostic mystic...

's Prometheus Rising
Prometheus Rising
Prometheus Rising is a book by Robert Anton Wilson first published in 1983. It is a guide book of "how to get from here to there", an amalgam of Timothy Leary's 8-circuit model of consciousness, Gurdjieff's self-observation exercises, Alfred Korzybski's general semantics, Aleister Crowley's magical...

(1983); he attributes the story to William James
William James
William James was a pioneering American psychologist and philosopher who was trained as a physician. He wrote influential books on the young science of psychology, educational psychology, psychology of religious experience and mysticism, and on the philosophy of pragmatism...

:

Additionally, Stephen Fry
Stephen Fry
Stephen John Fry is an English actor, screenwriter, author, playwright, journalist, poet, comedian, television presenter and film director, and a director of Norwich City Football Club. He first came to attention in the 1981 Cambridge Footlights Revue presentation "The Cellar Tapes", which also...

, in an episode of the BBC
BBC
The British Broadcasting Corporation is a British public service broadcaster. Its headquarters is at Broadcasting House in the City of Westminster, London. It is the largest broadcaster in the world, with about 23,000 staff...

's comedy-quiz show QI
QI
QI is a British comedy panel game television quiz show created and co-produced by John Lloyd, hosted by Stephen Fry, and featuring permanent panellist Alan Davies. Most of the questions are extremely obscure, making it unlikely that the correct answer will be given...

(Series 1, episode 2), attributes the turtles anecdote to an exchange between an elderly lady and William James. Also, David Sloan Wilson
David Sloan Wilson
David Sloan Wilson is an American evolutionary biologist and a Distinguished Professor of Biological Sciences and Anthropology at Binghamton University. He is a son of the author Sloan Wilson.-Academic career:...

 does the same in his book Evolution for Everyone (Delacorte, 2007): 133.

European myths

Hawking's suggested connection to Russell may be due to Russell's 1927 lecture Why I Am Not a Christian
Why I Am Not a Christian
Why I Am Not a Christian is a 1927 essay by the British philosopher Bertrand Russell hailed by The Independent as "devastating in its use of cold logic", and listed in the New York Public Library's list of the most influential books of the 20th century....

.
In it, while discounting the First Cause argument intended to be a proof of God's existence, Russell comments (with an argument not relevant to modern Hindu beliefs):
Philosophical allusion to the story goes back at least as far as John Locke
John Locke
John Locke FRS , widely known as the Father of Liberalism, was an English philosopher and physician regarded as one of the most influential of Enlightenment thinkers. Considered one of the first of the British empiricists, following the tradition of Francis Bacon, he is equally important to social...

. In his 1690 tract An Essay Concerning Human Understanding
An Essay Concerning Human Understanding
First appearing in 1690 with the printed title An Essay Concerning Humane Understanding, An Essay Concerning Human Understanding by John Locke concerns the foundation of human knowledge and understanding. He describes the mind at birth as a blank slate filled later through experience...

, Locke compares one who would say that properties inhere in "substance" to the Indian who said the world was on an elephant which was on a tortoise "but being again pressed to know what gave support to the broad-backed tortoise, replied — something, he knew not what."

Henry David Thoreau
Henry David Thoreau
Henry David Thoreau was an American author, poet, philosopher, abolitionist, naturalist, tax resister, development critic, surveyor, historian, and leading transcendentalist...

, in his journal entry of 4 May 1852, writes:
Despite these accounts, Hindu myths do not actually contain the myth in the form described. Locke appears to have taken the idea from Samuel Purchas
Samuel Purchas
Samuel Purchas , was an English travel writer, a near-contemporary of Richard Hakluyt.Purchas was born at Thaxted, Essex, and graduated at St John's College, Cambridge, in 1600; later he became a B.D., and with this degree was admitted at Oxford in 1615. In 1604 he was presented by James I to the...

. Some accounts involve the earth supported by a single unsupported tortoise, as Jñanaraja argued: "A vulture, which has only little strength, rests in the sky holding a snake in its beak for a prahara [three hours]. Why can [the deity] in the form of a tortoise, who possesses an inconceivable potency, not hold the Earth in the sky for a kalpa [billions of years]?"

Other accounts

Note also that Lewis Carroll
Lewis Carroll
Charles Lutwidge Dodgson , better known by the pseudonym Lewis Carroll , was an English author, mathematician, logician, Anglican deacon and photographer. His most famous writings are Alice's Adventures in Wonderland and its sequel Through the Looking-Glass, as well as the poems "The Hunting of the...

, the author of Alice in Wonderland, used the story of the tortoise for a philosophical regressus-argument in the philosophical Journal Mind
Mind (journal)
Mind is a British journal, currently published by Oxford University Press on behalf of the Mind Association, which deals with philosophy in the analytic tradition...

(1895), "What the Tortoise Said to Achilles
What the Tortoise Said to Achilles
"What the Tortoise Said to Achilles", written by Lewis Carroll in 1895 for the philosophical journal Mind, is a brief dialogue which problematises the foundations of logic. The title alludes to one of Zeno's paradoxes of motion, in which Achilles could never overtake the tortoise in a race...

". The article was reprinted in the same Journal in 1995 with a subsequent article by Simon Blackburn
Simon Blackburn
Simon Blackburn is a British academic philosopher known for his work in quasi-realism and his efforts to popularise philosophy. He recently retired as professor of philosophy at the University of Cambridge, but remains a distinguished research professor of philosophy at the University of North...

 titled: Practical Tortoise Reasoning. It was also reprinted in Gödel, Escher, Bach
Gödel, Escher, Bach
Gödel, Escher, Bach: An Eternal Golden Braid is a book by Douglas Hofstadter, described by his publishing company as "a metaphorical fugue on minds and machines in the spirit of Lewis Carroll"....

by Douglas Hofstadter
Douglas Hofstadter
Douglas Richard Hofstadter is an American academic whose research focuses on consciousness, analogy-making, artistic creation, literary translation, and discovery in mathematics and physics...

. Moreover, the tortoise-argument was used by Wilfrid Sellars
Wilfrid Sellars
Wilfrid Stalker Sellars was an American philosopher. His father was the Canadian-American philosopher Roy Wood Sellars, a leading American philosophical naturalist in the first half of the twentieth-century...

 in his Empiricism and the Philosophy of Mind (1956, secs. 34 and 38).

The story can also be found in Bernard Nietschmann's "When the Turtle Collapses, the World Ends", Natural History, 83(6):34 (June–July 1974). A version of the story also appears in Clifford Geertz
Clifford Geertz
Clifford James Geertz was an American anthropologist who is remembered mostly for his strong support for and influence on the practice of symbolic anthropology, and who was considered "for three decades...the single most influential cultural anthropologist in the United States." He served until...

's, "Thick Description: Towards an Interpretive Theory of Culture", in his 1973 book The Interpretation of Culture, with the scientist and old woman replaced by an Englishman
Englishman
Englishman may refer to:*English people*Grey Partridge*Jason Englishman, Canadian rock music singer and guitarist*Jenny-Bea Englishman, real name of the Canadien singer Esthero*Erald Briscoe, reggae musician who records under the name Englishman...

 and an India
India
India , officially the Republic of India , is a country in South Asia. It is the seventh-largest country by geographical area, the second-most populous country with over 1.2 billion people, and the most populous democracy in the world...

n respectively.

Carl Sagan
Carl Sagan
Carl Edward Sagan was an American astronomer, astrophysicist, cosmologist, author, science popularizer and science communicator in astronomy and natural sciences. He published more than 600 scientific papers and articles and was author, co-author or editor of more than 20 books...

 recited a version of the story as an apocryphal anecdote in his 1979 book Broca's Brain: Reflections on the Romance of Science
Broca's Brain: Reflections on the Romance of Science
Broca's Brain: Reflections on the Romance of Science is a 1979 book by astrophysicist Carl Sagan. Its chapters were originally articles published between 1974 and 1979 in various magazines, including Atlantic Monthly, New Republic, Physics Today, Playboy and Scientific American...

, as an exchange between a "Western traveler" and an "Oriental philosopher".

Justice Antonin Scalia
Antonin Scalia
Antonin Gregory Scalia is an American jurist who serves as an Associate Justice of the Supreme Court of the United States. As the longest-serving justice on the Court, Scalia is the Senior Associate Justice...

 of the U.S. Supreme Court discussed his "favored version" of the tale in a footnote to his plurality opinion in Rapanos v. United States
Rapanos v. United States
Rapanos v. United States, 547 U.S. 715 , was a United States Supreme Court case challenging federal jurisdiction to regulate isolated wetlands under the Clean Water Act. It was the first major environmental case heard by the newly appointed Chief Justice, John Roberts and Associate Justice, Samuel...

(decided June 19, 2006):
The anecdote has achieved the status of an urban legend
Urban legend
An urban legend, urban myth, urban tale, or contemporary legend, is a form of modern folklore consisting of stories that may or may not have been believed by their tellers to be true...

 on the Internet, as there are numerous versions in which the name of the scientist varies (e.g., Arthur Stanley Eddington
Arthur Stanley Eddington
Sir Arthur Stanley Eddington, OM, FRS was a British astrophysicist of the early 20th century. He was also a philosopher of science and a popularizer of science...

, Thomas Huxley
Thomas Huxley
Thomas Henry Huxley PC FRS was an English biologist, known as "Darwin's Bulldog" for his advocacy of Charles Darwin's theory of evolution....

, Linus Pauling
Linus Pauling
Linus Carl Pauling was an American chemist, biochemist, peace activist, author, and educator. He was one of the most influential chemists in history and ranks among the most important scientists of the 20th century...

, or Carl Sagan
Carl Sagan
Carl Edward Sagan was an American astronomer, astrophysicist, cosmologist, author, science popularizer and science communicator in astronomy and natural sciences. He published more than 600 scientific papers and articles and was author, co-author or editor of more than 20 books...

) although the rest is the same.

Allusions in popular culture

  • In the popular Discworld
    Discworld
    Discworld is a comic fantasy book series by English author Sir Terry Pratchett, set on the Discworld, a flat world balanced on the backs of four elephants which, in turn, stand on the back of a giant turtle, Great A'Tuin. The books frequently parody, or at least take inspiration from, J. R. R....

    fantasy books by Terry Pratchett
    Terry Pratchett
    Sir Terence David John "Terry" Pratchett, OBE is an English novelist, known for his frequently comical work in the fantasy genre. He is best known for his popular and long-running Discworld series of comic fantasy novels...

    , the Discworld
    Discworld (world)
    The Discworld is the fictional setting for all of Terry Pratchett's Discworld fantasy novels. It consists of a large disc resting on the backs of four huge elephants which are in turn standing on the back of an enormous turtle, named Great A'Tuin as it slowly swims...

     is a flat disc that rests on the backs of four huge elephants which are in turn standing on the back of an enormous turtle as it slowly swims through space. In the book Small Gods
    Small Gods
    Small Gods is the thirteenth of Terry Pratchett's Discworld novels, published in 1992. It tells the origin of the god Om, and his relations with his prophet, the reformer Brutha...

    , the question "what does the turtle stand on?" is asked, and gets the reply "It's a turtle, for heaven's sake. It swims. That's what turtles are for." In his introduction to The Discworld Companion
    The Discworld Companion
    The Discworld Companion is an encyclopaedia of the Discworld fictional universe created by Terry Pratchett and Stephen Briggs.The book compiles a precise definition of words, lives of historical people, geography of places and events that have appeared in at least one Discworld novel, map, diary,...

    , Pratchett uses the phrase in a different sense, describing the recurrence of the Earth on a turtle in myth as "turtles all the way". Pratchett and Jacqueline Simpson
    Jacqueline Simpson
    Dr. Jacqueline Simpson is a United Kingdom researcher and author on folklore and legend.She studied English Literature and Medieval Icelandic at Bedford College, University of London. Dr. Simpson has been, at various times, Editor, Secretary, and President of the Folklore Society. She was awarded...

     briefly describe this myth in The Folklore of Discworld
    The Folklore of Discworld
    The Folklore of Discworld is a book written by Terry Pratchett and Jacqueline Simpson as an ancillary to the Discworld series of novels. It details the folklore aspects of the Discworld novels and draws parallels with earth's folklore...

    , saying "'Ah, Sahib, after that it's turtles all the way down.'" Later saying "Yes, we know that there are several versions of this story!"
  • Stephen King
    Stephen King
    Stephen Edwin King is an American author of contemporary horror, suspense, science fiction and fantasy fiction. His books have sold more than 350 million copies and have been adapted into a number of feature films, television movies and comic books...

     in The Dark Tower
    The Dark Tower (series)
    The Dark Tower is a series of books written by American author Stephen King, which incorporates themes from multiple genres, including fantasy, science fantasy, horror and western. It describes a "Gunslinger" and his quest toward a tower, the nature of which is both physical and metaphorical. King...

    series makes several references to a turtle holding up the earth, in various metaphors. Later in the series, he makes it clear that the origin of this metaphor is a play on the incident with the woman declaring that it's "turtles all the way down." The appearance of a palm-sized scrimshaw
    Scrimshaw
    Scrimshaw is the name given to handiwork created by whalers made from the byproducts of harvesting marine mammals. It is most commonly made out of the bones and teeth of sperm whales, the baleen of other whales, and the tusks of walruses...

     turtle likewise makes allusions to Pratchett's
    Terry Pratchett
    Sir Terence David John "Terry" Pratchett, OBE is an English novelist, known for his frequently comical work in the fantasy genre. He is best known for his popular and long-running Discworld series of comic fantasy novels...

     Small Gods
    Small Gods
    Small Gods is the thirteenth of Terry Pratchett's Discworld novels, published in 1992. It tells the origin of the god Om, and his relations with his prophet, the reformer Brutha...

    when described as a "tiny god".
  • Stephen King
    Stephen King
    Stephen Edwin King is an American author of contemporary horror, suspense, science fiction and fantasy fiction. His books have sold more than 350 million copies and have been adapted into a number of feature films, television movies and comic books...

    's It
    It (novel)
    It is a 1986 horror novel by American author Stephen King. The story follows the exploits of seven children as they are terrorized by the eponymous inter-dimensional predatory life-form that exploits the fears and phobias of its victims in order to disguise itself while hunting its prey. "It"...

    makes certain references to a giant almighty tortoise which is said to have given birth to the universe itself.
  • Far-Seer
    Far-Seer
    Far-Seer is a novel written by Canadian science fiction author, Robert J. Sawyer. It is the first book of the Quintaglio Ascension Trilogy, and is followed by two sequels: Fossil Hunter, and Foreigner...

    , Part One of Robert J. Sawyer
    Robert J. Sawyer
    Robert James Sawyer is a Canadian science fiction writer. He has had 20 novels published, and his short fiction has appeared in Analog Science Fiction and Fact, Amazing Stories, On Spec, Nature, and many anthologies. Sawyer has won over forty awards for his fiction, including the Nebula Award ,...

    's three-part novel, the Quintaglio Ascension Trilogy
    Quintaglio Ascension Trilogy
    The Quintaglio Ascension Trilogy is a series of award-winning novels written by acclaimed Canadian science fiction author, Robert J. Sawyer...

    , retells the story, replacing turtles with armourbacks (ankylosaur
    Ankylosauria
    Ankylosauria is a group of herbivorous dinosaurs of the order Ornithischia. It includes the great majority of dinosaurs with armor in the form of bony osteoderms. Ankylosaurs were bulky quadrupeds, with short, powerful limbs. They are first known to have appeared in the early Jurassic Period of...

    s).
  • Thomas King uses the story to frame each of his five Massey Lectures collected in The Truth About Stories.
  • In Borderlands
    Borderlands (video game)
    Borderlands is a science fiction based first-person shooter with RPG elements that was developed by Gearbox Software for PlayStation 3, Xbox 360, Microsoft Windows and Mac OS X. It was first revealed in the September 2007 issue of Game Informer magazine...

    , a multi-platform video game developed by Gearbox
    Gearbox Software
    Gearbox Software, LLC is an American video game development company based in Plano, Texas.-History:Gearbox Software was founded in January 1999 by five members of the content team from the defunct developer Rebel Boat Rocker: Randy Pitchford, Brian Martel, Stephen Bahl, Landon Montgomery, and Rob...

    , the phrase is seen written upon much of the desert planet scenery in the form of anonymous graffiti.
  • In World of Warcraft
    World of Warcraft
    World of Warcraft is a massively multiplayer online role-playing game by Blizzard Entertainment. It is the fourth released game set in the fantasy Warcraft universe, which was first introduced by Warcraft: Orcs & Humans in 1994...

    , it is the name of an achievement to be earned within the game to fish up a turtle from a pool on one of the continents within the game, Turtles All The Way Down - Achievement
  • On the album In Dub by Hallucinogen track 3, a dubstep remix of their song Gamma Goblins, is titled " 'Its Turtles All The Way Down' Mix ".

See also

  • Cosmological argument
    Cosmological argument
    The cosmological argument is an argument for the existence of a First Cause to the universe, and by extension is often used as an argument for the existence of an "unconditioned" or "supreme" being, usually then identified as God...

  • God of the gaps
    God of the gaps
    God of the gaps is a type of theological fallacy in which gaps in scientific knowledge are taken to be evidence or proof of God's existence. The term was invented by Christian theologians not to discredit theism but rather to discourage reliance on teleological arguments for God's existence.-...

  • Hilbert's paradox of the Grand Hotel
    Hilbert's paradox of the Grand Hotel
    Hilbert's paradox of the Grand Hotel is a mathematical veridical paradox about infinite sets presented by German mathematician David Hilbert .-The paradox:...

  • Holon (philosophy)
    Holon (philosophy)
    A holon is something that is simultaneously a whole and a part. The word was coined by Arthur Koestler in his book The Ghost in the Machine . Koestler was compelled by two observations in proposing the notion of the holon...

  • Kurma
    Kurma
    In Hinduism, Kurma was the second Avatar of Vishnu. Like the Matsya Avatar also belongs to the Satya yuga.-Samudra manthan :...

  • Münchhausen Trilemma
  • Post turtle
    Post turtle
    Post turtle is a phrase that has been used in political discussion of various countries, including the U.S. and Canada, based on an old joke. Various politicians have been referenced by the joke or used the joke, including George W Bush, Barack Obama, Bill Clinton, and Stephen Harper.-The joke:An...

  • Primum Mobile
    Primum Mobile
    In medieval and Renaissance astronomy, the Primum Mobile, or "first moved," was the outermost moving sphere in the geocentric model of the universe. The primum mobile was thought to be responsible for the apparent daily movement of the heavens around the Earth, producing the east-to-west rising and...

  • Primum movens
    Primum movens
    Primum movens , usually referred to as the Prime mover or first cause in English, is a term used in the philosophy of Aristotle, in the theological cosmological argument for the existence of God, and in cosmogony, the source of the cosmos or "all-being".-Aristotle's ontology:In book 12 of his...

  • Yertle the Turtle
    Yertle the Turtle
    Yertle the Turtle and Other Stories is a picture book collection by Theodor Seuss Geisel, published under his more commonly-known pseudonym of Dr. Seuss. It was first released by Random House Books on April 12, 1958, and is written in Seuss's trademark style, using a type of meter called anapestic...

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