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"The Library of Babel" ( es, La biblioteca de Babel) is a
short story A short story is a piece of prose fiction that typically can be read in one sitting and focuses on a self-contained incident or series of linked incidents, with the intent of evoking a single effect or mood. The short story is one of the oldest ...
by Argentine author and
librarian A librarian is a person who works professionally in a library providing access to information, and sometimes social or technical programming, or instruction on information literacy to users. The role of the librarian has changed much over time ...
Jorge Luis Borges Jorge Francisco Isidoro Luis Borges Acevedo (; ; 24 August 1899 – 14 June 1986) was an Argentine short-story writer, essayist, poet and translator, as well as a key figure in Spanish-language and international literature. His best-known b ...
(1899–1986), conceiving of a
universe The universe is all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy. The Big Bang theory is the prevailing cosmological description of the development of the univers ...
in the form of a vast library containing all possible 410-page books of a certain format and character set. The story was originally published in Spanish in Borges' 1941 collection of stories '' El jardín de senderos que se bifurcan'' (''The Garden of Forking Paths''). That entire book was, in turn, included within his much-reprinted ''
Ficciones ' (in English: "Fictions") is a collection of short stories by Argentine writer and poet Jorge Luis Borges, originally written and published in Spanish between 1941 and 1956. Thirteen stories from ''Ficciones'' were first published by New Dire ...
'' (
1944 Events Below, the events of World War II have the "WWII" prefix. January * January 2 – WWII: ** Free French General Jean de Lattre de Tassigny is appointed to command French Army B, part of the Sixth United States Army Group in ...
). Two English-language
translation Translation is the communication of the meaning of a source-language text by means of an equivalent target-language text. The English language draws a terminological distinction (which does not exist in every language) between ''transla ...
s appeared approximately simultaneously in 1962, one by James E. Irby in a diverse collection of Borges's works titled '' Labyrinths'' and the other by Anthony Kerrigan as part of a collaborative translation of the entirety of ''Ficciones''.


Plot

Borges' narrator describes how his universe consists of an enormous expanse of adjacent
hexagon In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A '' regular hexagon'' has ...
al rooms. In each room, there is an entrance on one wall, the bare necessities for human survival on another wall, and four walls of bookshelves. Though the order and content of the books are random and apparently completely meaningless, the inhabitants believe that the books contain every possible ordering of just 25 basic characters (22 letters, the period, the comma, and space). Though the vast majority of the books in this universe are pure gibberish, the library also must contain, somewhere, every coherent book ever written, or that might ever be written, and every possible
permutation In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or pro ...
or slightly erroneous version of every one of those books. The narrator notes that the library must contain all useful information, including predictions of the future, biographies of any person, and translations of every book in all
language Language is a structured system of communication. The structure of a language is its grammar and the free components are its vocabulary. Languages are the primary means by which humans communicate, and may be conveyed through a variety of ...
s. Conversely, for many of the texts, some language could be devised that would make it readable with any of a vast number of different contents. Despite—indeed, because of—this glut of information, all books are totally useless to the reader, leaving the librarians in a state of suicidal despair. This leads some librarians to superstitious and
cult In modern English, ''cult'' is usually a pejorative term for a social group that is defined by its unusual religious, spiritual, or philosophical beliefs and rituals, or its common interest in a particular personality, object, or goal. Thi ...
-like behaviors, such as the "Purifiers", who arbitrarily destroy books they deem nonsense as they scour through the library seeking the "Crimson Hexagon" and its illustrated, magical books. Others believe that since all books exist in the library, somewhere one of the books must be a perfect index of the library's contents; some even believe that a messianic figure known as the "Man of the Book" has read it, and they travel through the library seeking him.


Themes

The story repeats the theme of Borges' 1939 essay " The Total Library" ("La Biblioteca Total"), which in turn acknowledges the earlier development of this theme by Kurd Lasswitz in his 1901 story "The Universal Library" ("Die Universalbibliothek"):
Certain examples that
Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of ...
attributes to
Democritus Democritus (; el, Δημόκριτος, ''Dēmókritos'', meaning "chosen of the people"; – ) was an Ancient Greek pre-Socratic philosopher from Abdera, primarily remembered today for his formulation of an atomic theory of the universe. No ...
and Leucippus clearly prefigure it, but its belated inventor is Gustav Theodor Fechner, and its first exponent, Kurd Lasswitz. ..In his book ''The Race with the Tortoise'' (Berlin, 1919), Dr Theodor Wolff suggests that it is a derivation from, or a parody of, Ramón Llull's thinking machine ..The elements of his game are the universal orthographic symbols, not the words of a language ..Lasswitz arrives at twenty-five symbols (twenty-two letters, the space, the period, the comma), whose recombinations and repetitions encompass everything possible to express in all languages. The totality of such variations would form a Total Library of astronomical size. Lasswitz urges mankind to construct that inhuman library, which chance would organize and which would eliminate intelligence. (Wolff's ''The Race with the Tortoise'' expounds the execution and the dimensions of that impossible enterprise.)
Many of Borges' signature motifs are featured in the story, including
infinity Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions am ...
,
reality Reality is the sum or aggregate of all that is real or existent within a system, as opposed to that which is only imaginary. The term is also used to refer to the ontological status of things, indicating their existence. In physical terms, re ...
, cabalistic reasoning, and
labyrinth In Greek mythology, the Labyrinth (, ) was an elaborate, confusing structure designed and built by the legendary artificer Daedalus for King Minos of Crete at Knossos. Its function was to hold the Minotaur, the monster eventually killed by ...
s. The concept of the library is often compared to Borel's dactylographic monkey theorem. There is no reference to monkeys or typewriters in "The Library of Babel", although Borges had mentioned that analogy in "The Total Library": " half-dozen monkeys provided with typewriters would, in a few eternities, produce all the books in the
British Museum The British Museum is a public museum dedicated to human history, art and culture located in the Bloomsbury area of London. Its permanent collection of eight million works is among the largest and most comprehensive in existence. It docum ...
." In this story, the closest equivalent is the line, "A blasphemous sect suggested ..that all men should juggle letters and symbols until they constructed, by an improbable gift of chance, these canonical books." Borges makes an oblique reference to reproducing Shakespeare, as the only decipherable sentence in the library "O time thy pyramids" is surely taken from Shakespeare's Sonnet 123 which opens with the lines "No Time, thou shalt not boast that I do change, Thy pyramids...". Borges would examine a similar idea in his 1976 story, "
The Book of Sand "The Book of Sand" ( es, El libro de arena, links=no) is a 1975 short story by Argentine writer Jorge Luis Borges about the discovery of a book with infinite pages. It has parallels to the same author's 1949 story "The Zahir" (revised in 1974 ...
", in which there is an infinite book (or book with an indefinite number of pages) rather than an infinite library. Moreover, the story's ''Book of Sand'' is said to be written in an unknown alphabet and its content is not obviously random. In The Library of Babel, Borges interpolates Italian mathematician Bonaventura Cavalieri's suggestion that any solid body could be conceptualized as the superimposition of an infinite number of planes. The concept of the library is also overtly analogous to the view of the universe as a
sphere A sphere () is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance from a given point in three-dimensional space.. That given point is the c ...
having its center everywhere and its
circumference In geometry, the circumference (from Latin ''circumferens'', meaning "carrying around") is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out ...
nowhere. The
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
and
philosopher A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...
Blaise Pascal employed this
metaphor A metaphor is a figure of speech that, for rhetorical effect, directly refers to one thing by mentioning another. It may provide (or obscure) clarity or identify hidden similarities between two different ideas. Metaphors are often compared wi ...
, and in an earlier essay Borges noted that Pascal's manuscript called the sphere ''effroyable,'' or "frightful". In any case, a library containing ''all'' possible books, arranged at random, might as well be a library containing ''zero'' books, as any true information would be buried in, and rendered indistinguishable from, all possible forms of false information; the experience of opening to any page of any of the library's books has been simulated by websites which create screenfuls of random letters. The quote at the beginning of the story, "By this you may contemplate the variation of the twenty-four letters," is from
Robert Burton Robert Burton (8 February 1577 – 25 January 1640) was an English author and fellow of Oxford University, who wrote the encyclopedic tome '' The Anatomy of Melancholy''. Born in 1577 to a comfortably well-off family of the landed gentry, Bur ...
's 1621 '' The Anatomy of Melancholy''.


Philosophical implications


Infinite extent

In mainstream theories of natural language syntax, every syntactically-valid utterance can be extended to produce a new, longer one, because of
recursion Recursion (adjective: ''recursive'') occurs when a thing is defined in terms of itself or of its type. Recursion is used in a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematic ...
. However, the books in the Library of Babel are of bounded length ("each book is of four hundred and ten pages; each page, of forty lines, each line, of some eighty letters"), so the Library can only contain a finite number of distinct strings. Borges' narrator notes this fact, but believes that the Library is nevertheless infinite; he speculates that it repeats itself periodically, giving an eventual "order" to the "disorder" of the seemingly random arrangement of books. Mathematics professor William Goldbloom Bloch confirms the narrator's intuition, deducing in his popular mathematics book '' The Unimaginable Mathematics of Borges' Library of Babel'' that the library's structure necessarily has at least one room whose shelves are not full (because the number of books per room does not divide the total number of books evenly), and the rooms on each floor of the library must either be connected into a single Hamiltonian cycle, or possibly be disconnected into subsets that cannot reach each other.


Quine's reduction

W. V. O. Quine notes that the Library of Babel is finite, and that any text that does not fit in a single book can be reconstructed by finding a second book with the continuation. The size of the alphabet can be reduced by using
Morse code Morse code is a method used in telecommunication to encode text characters as standardized sequences of two different signal durations, called ''dots'' and ''dashes'', or ''dits'' and ''dahs''. Morse code is named after Samuel Morse, one ...
even though it makes the books more verbose; the size of the books can also be reduced by splitting each into multiple volumes and discarding the duplicates. Writes Quine, "The ultimate absurdity is now staring us in the face: a universal library of two volumes, one containing a single dot and the other a dash. Persistent repetition and alternation of the two are sufficient, we well know, for spelling out any and every truth. The miracle of the finite but universal library is a mere inflation of the miracle of binary notation: everything worth saying, and everything else as well, can be said with two characters."


Comparison with biology

The full possible set of protein sequences ( protein sequence space) has been compared to the Library of Babel. In the ''Library of Babel'', finding any book that made sense was almost impossible due to the sheer number and lack of order. The same would be true of protein sequences if it were not for natural selection, which has picked out only protein sequences that make sense. Additionally, each protein sequence is surrounded by a set of neighbors (point mutants) that are likely to have at least some function. Daniel Dennett's 1995 book '' Darwin's Dangerous Idea'' includes an elaboration of the Library of Babel concept to imagine the set of all possible genetic sequences, which he calls the Library of Mendel, in order to illustrate the mathematics of genetic variation. Dennett uses this concept again later in the book to imagine all possible algorithms that can be included in his
Toshiba , commonly known as Toshiba and stylized as TOSHIBA, is a Japanese multinational conglomerate corporation headquartered in Minato, Tokyo, Japan. Its diversified products and services include power, industrial and social infrastructure systems, ...
computer, which he calls the Library of Toshiba. He describes the Library of Mendel and the Library of Toshiba as subsets within the Library of Babel.


Influence on later writers

* Umberto Eco's postmodern novel '' The Name of the Rose'' (1980) features a labyrinthine library, presided over by a blind monk named Jorge of Burgos. The room is, however, octagonal in shape. *In "The Net of Babel", published in '' Interzone'' in 1995, David Langford imagines the Library becoming
computer A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations ( computation) automatically. Modern digital electronic computers can perform generic sets of operations known as programs. These prog ...
ized for easy access. This aids the librarians in searching for specific text while also highlighting the futility of such searches as they can find anything, but nothing of meaning as such. The sequel continues many of Borges's themes, while also highlighting the difference between
data In the pursuit of knowledge, data (; ) is a collection of discrete values that convey information, describing quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpret ...
and
information Information is an abstract concept that refers to that which has the power to inform. At the most fundamental level information pertains to the interpretation of that which may be sensed. Any natural process that is not completely random, ...
, and
satirizing Satire is a genre of the visual, literary, and performing arts, usually in the form of fiction and less frequently non-fiction, in which vices, follies, abuses, and shortcomings are held up to ridicule, often with the intent of shaming or e ...
the
Internet The Internet (or internet) is the global system of interconnected computer networks that uses the Internet protocol suite (TCP/IP) to communicate between networks and devices. It is a '' network of networks'' that consists of private, p ...
. * Russell Standish's ''Theory of Nothing'' uses the concept of the Library of Babel to illustrate how an ultimate ensemble containing all possible descriptions would in sum contain zero information and would thus be the simplest possible explanation for the existence of the universe. This theory, therefore, implies the reality of all universes. * Michael Ende reused the idea of a universe of hexagonal rooms in the ''Temple of a Thousand Doors'' from '' The Neverending Story'', which contained all the possible characteristics of doors in the fantastic realm. A later chapter features the
infinite monkey theorem The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type any given text, such as the complete works of William Shakespeare. In fact, the monkey would ...
. * Terry Pratchett uses the concept of the infinite library in his '' Discworld'' novels. The knowledgeable librarian is a human wizard transformed into an
orangutan Orangutans are great apes native to the rainforests of Indonesia and Malaysia. They are now found only in parts of Borneo and Sumatra, but during the Pleistocene they ranged throughout Southeast Asia and South China. Classified in the genu ...
. *'' The Unimaginable Mathematics of Borges' Library of Babel'' (2008) by William Goldbloom Bloch explores the short story from a mathematical perspective. Bloch analyzes the hypothetical library presented by Borges using the ideas of
topology In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ...
,
information theory Information theory is the scientific study of the quantification, storage, and communication of information. The field was originally established by the works of Harry Nyquist and Ralph Hartley, in the 1920s, and Claude Shannon in the 1940s. ...
, and geometry. *In Greg Bear's novel ''
City at the End of Time ''City at the End of Time'' is a 2008 science fiction novel by American writer Greg Bear. It was published in August 2008 by Del Rey in the United States, and Gollancz in the United Kingdom. The story follows three drifters in present-day Se ...
'' (2008), the sum-runners carried by the protagonists are intended by their creator to be combined to form a 'Babel', an infinite library containing every possible permutation of every possible character in every possible language. Bear has stated that this was inspired by Borges, who is also namechecked in the novel. Borges is described as an unknown Argentinian who commissioned an encyclopedia of impossible things, a reference to either " Tlön, Uqbar, Orbis Tertius" or the '' Book of Imaginary Beings''. *''Fone'', a short comic novel drawn by Milo Manara, features a human astronaut and his alien partner stranded on a planet named Borges Profeta. The planet is overflowed by books containing all the possible permutations of letters. *
Steven L. Peck Steven L. Peck (born July 25, 1957) is an evolutionary biologist, poet, and novelist. His literary work is influential in Mormon literature circles. He is a professor of biology at Brigham Young University (BYU). He grew up in Moab, Utah and liv ...
wrote a novella entitled ''A Short Stay in Hell'' (2012) in which the protagonist must find the book containing his life story in an afterlife replica of Borges' Library of Babel. *The third season of ''Carmilla'', a Canadian single-frame web series based on the novella by J. Sheridan Le Fanu, is set in a mystical library described as "non-Euclidean" and omnipotent. It contains a door that, depending on the knocking pattern on its panels, can be opened into any universe. It also creates a temporary parallel universe and is able to shift a character between the parallel and the original. As the parallel universe collapses, darkness falls, and a character perishes in the void after uttering the words, "O time thy pyramids," which are contained on the second-to-last page of a book in the Library of Babel. *In Christopher Nolan's film ''Interstellar'', the protagonist, Cooper, played by Matthew McConaughey, becomes trapped in a black hole which mirrors the Library of Babel; Cooper's universe consists of an infinitely extended tesseract consisting of the back-side of a specific bookshelf full of books in his former family home in all directions, but at different times in the bookshelf's history. This scene has been compared to the Library of Babel, and Nolan cites Borges as an artistic influence. * The Library of Babel, a website created by Jonathan Basile, emulates an English-language version of Borges' library. An algorithm he created generates a "book" by iterating every permutation of 29 characters: the 26 English letters, space, comma, and period. Each book is marked by a coordinate, corresponding to its place on the hexagonal library (hexagon name, wall number, shelf number, and book name) so that every book can be found at the same place every time. The website is said to contain "all possible pages of 3200 characters, about 104677 books". *''The Library of Babel'' is a video game, based on the story, developed and published by Spanish Tanuki Game Studio, with no announced release date. It is described as “a tale revolving around a dark futuristic world, unfolding through platformer elements,
stealth Stealth may refer to: Military * Stealth technology, technology used to conceal ships, aircraft, and missiles ** Stealth aircraft, aircraft which use stealth technology **Stealth ground vehicle, ground vehicles which use stealth technology ** St ...
and graphic adventure.


See also

* ''
Encyclopedia Galactica The ''Encyclopedia Galactica'' is the name of a number of fictional or hypothetical encyclopedias containing all the knowledge accumulated by a galaxy-spanning (Type III in Kardashev scale) civilization. The name evokes the exhaustive aspects o ...
'' (Asimov) *
Akashic Records In the religion of theosophy and the philosophical school called anthroposophy, the Akashic records are a compendium of all universal events, thoughts, words, emotions and intent ever to have occurred in the past, present, or future in terms of ...
*
Infinite monkey theorem The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type any given text, such as the complete works of William Shakespeare. In fact, the monkey would ...
* Law of truly large numbers * Normal number * The Library of Babel (website) * Universal library * World Brain


References

{{DEFAULTSORT:Library of Babel, The 1941 short stories Mathematics fiction books Short stories by Jorge Luis Borges Fictional libraries Fictional universes Thought experiments Works set in libraries Argentine speculative fiction works