In logic, mathematics, computer science, and linguistics, a formal language consists of words whose letters are taken from an alphabet and are well-formed according to a specific set of rules.
Jorge Francisco Isidoro Luis Borges Acevedo 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 books, Ficciones (Fictions) and El Aleph, published in the 1940s, are collections of short stories exploring themes of dreams, labyrinths, chance, infinity, archives, mirrors, fictional writers and mythology. Borges's works have contributed to philosophical literature and the fantasy genre, and have had a major influence on the magic realist movement in 20th century Latin American literature.
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 almost surely type every possible finite text an infinite number of times. However, the probability that monkeys filling the entire observable universe would type a single complete work, such as Shakespeare's Hamlet, is so tiny that the chance of it occurring during a period of time hundreds of thousands of orders of magnitude longer than the age of the universe is extremely low. The theorem can be generalized to state that any sequence of events which has a non-zero probability of happening will almost certainly eventually occur, given enough time.
"Tlön, Uqbar, Orbis Tertius" is a short story by the 20th-century Argentinian writer Jorge Luis Borges. The story was first published in the Argentinian journal Sur, May 1940. The "postscript" dated 1947 is intended to be anachronistic, set seven years in the future. The first English-language translation of the story was published in 1961.
This list contains selected positive numbers in increasing order, including counts of things, dimensionless quantities and probabilities. Each number is given a name in the short scale, which is used in English-speaking countries, as well as a name in the long scale, which is used in some of the countries that do not have English as their national language.
"Pierre Menard, Author of the Quixote" is a short story by Argentine writer Jorge Luis Borges.
Kurd Lasswitz was a German author, scientist, and philosopher. He has been called "the father of German science fiction". He sometimes used the pseudonym Velatus.
Labyrinths is a collection of short stories and essays by Argentine writer and poet Jorge Luis Borges. It was translated into English, published soon after Borges won the International Publishers' Prize with Samuel Beckett.
"The Garden of Forking Paths" is a 1941 short story by Argentine writer and poet Jorge Luis Borges. It is the title story in the collection El jardín de senderos que se bifurcan (1941), which was republished in its entirety in Ficciones (Fictions) in 1944. It was the first of Borges's works to be translated into English by Anthony Boucher when it appeared in Ellery Queen's Mystery Magazine in August 1948.
Algorithmic information theory (AIT) is a branch of theoretical computer science that concerns itself with the relationship between computation and information of computably generated objects (as opposed to stochastically generated), such as strings or any other data structure. In other words, it is shown within algorithmic information theory that computational incompressibility "mimics" (except for a constant that only depends on the chosen universal programming language) the relations or inequalities found in information theory. According to Gregory Chaitin, it is "the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking vigorously."
In geometry, a Cairo pentagonal tiling is a tessellation of the Euclidean plane by congruent convex pentagons, formed by overlaying two tessellations of the plane by hexagons and named for its use as a paving design in Cairo. It is also called MacMahon's net after Percy Alexander MacMahon, who depicted it in his 1921 publication New Mathematical Pastimes. John Horton Conway called it a 4-fold pentille.
A universal library is a library with universal collections. This may be expressed in terms of it containing all existing information, useful information, all books, all works or even all possible works. This ideal, although unrealizable, has influenced and continues to influence librarians and others and be a goal which is aspired to. Universal libraries are often assumed to have a complete set of useful features.
This article contains a discussion of paradoxes of set theory. As with most mathematical paradoxes, they generally reveal surprising and counter-intuitive mathematical results, rather than actual logical contradictions within modern axiomatic set theory.
Temporal finitism is the doctrine that time is finite in the past. The philosophy of Aristotle, expressed in such works as his Physics, held that although space was finite, with only void existing beyond the outermost sphere of the heavens, time was infinite. This caused problems for mediaeval Islamic, Jewish, and Christian philosophers who, primarily creationist, were unable to reconcile the Aristotelian conception of the eternal with the Genesis creation narrative.
Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol .
"The Congress" is a 1971 short story by Argentine writer Jorge Luis Borges. The story is on an utopic universal congress and is seen by critics as a political essay.
Jorge Luis Borges and mathematics concerns several modern mathematical concepts found in certain essays and short stories of Argentinian author Jorge Luis Borges (1899-1986), including concepts such as set theory, recursion, chaos theory, and infinite sequences, although Borges' strongest links to mathematics are through Georg Cantor's theory of infinite sets, outlined in "The Doctrine of Cycles". Some of Borges' most popular works such as "The Library of Babel", "The Garden of Forking Paths", "The Aleph", an allusion to Cantor's use of the Hebrew letter aleph to denote cardinality of transfinite sets, and "The Approach to Al-Mu'tasim" illustrate his use of mathematics.
In evolutionary biology, sequence space is a way of representing all possible sequences. The sequence space has one dimension per amino acid or nucleotide in the sequence leading to highly dimensional spaces.
The Unimaginable Mathematics of Borges' Library of Babel is a popular mathematics book on Jorge Luis Borges and mathematics. It describes several mathematical concepts related to the short story "The Library of Babel", by Jorge Luis Borges. Written by mathematics professor William Goldbloom Bloch, and published in 2008 by the Oxford University Press, it received an honorable mention in the 2008 PROSE Awards.
The Library of Babel is a website created by Brooklyn author and coder Jonathan Basile, based on Jorge Luis Borges' short story "The Library of Babel" (1941). The site was launched in 2015.
