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The infinite monkey theorem and its associated imagery is considered a popular and proverbial illustration of the mathematics of probability, widely known to the general public because of its transmission through popular culture rather than because of its transmission via the classroom. [1]
However, this popularity as either presented to or taken in the public's mind often oversimplifies or confuses important aspects of the different scales of the concepts involved: infinity, probability, and time—all of these are in measures beyond average human experience and practical comprehension or comparison.
The history of the imagery of "typing monkeys" dates back at least as far as Émile Borel's use of the metaphor in his essay in 1913, and this imagery has recurred many times since in a variety of media.
Today, popular interest in the typing monkeys is sustained by numerous appearances in literature, television and radio, music, and the Internet, as well as graphic novels and stand-up comedy routines. Several collections of cultural references to the theorem have been published.
The following thematic timelines are based on these existing collections. The timelines are not comprehensive – instead, they document notable examples of references to the theorem appearing in various media. [8] The initial timeline starts with some of the early history following Borel, and the later timelines record examples of the history, from the stories by Maloney and Borges in the 1940s, up to the present day.
"'It was the best of times, it was the blurst of times?' You stupid monkey!" [15] [16]
"Pinciotti actually scores! Hell freezes over! A monkey types Hamlet!"
The scene then cuts to several monkeys in a room, arguing over which flower is most appropriate in the famous line from Romeo and Juliet . [19]"Oh, art-schmart. Put enough monkeys in a room with a typewriter they'll produce Shakespeare."
"Somewhere, those million chimps, with their million typewriters, must've written King Lear."
"Thomas Henry Huxley said if you gave keyboards to an infinite amount of monkeys, and gave said monkeys an infinite amount of time… Well it is safe to say…you are not the magic monkey." [22]
Dilbert is an American comic strip written and illustrated by Scott Adams, first published on April 16, 1989. It is known for its satirical office humor about a white-collar, micromanaged office with engineer Dilbert as the title character. It has led to dozens of books, an animated television series, a video game, and hundreds of themed merchandise items. Dilbert Future and The Joy of Work are among the best-selling books in the series. In 1997, Adams received the National Cartoonists Society Reuben Award and the Newspaper Comic Strip Award for his work. Dilbert appears online and as of 2013 was published daily in 2,000 newspapers in 65 countries and 25 languages.
The Tragedy of Hamlet, Prince of Denmark, often shortened to Hamlet, is a tragedy written by William Shakespeare sometime between 1599 and 1601. It is Shakespeare's longest play. Set in Denmark, the play depicts Prince Hamlet and his attempts to exact revenge against his uncle, Claudius, who has murdered Hamlet's father in order to seize his throne and marry Hamlet's mother. Hamlet is considered among the "most powerful and influential tragedies in the English language", with a story capable of "seemingly endless retelling and adaptation by others". It is widely considered one of the greatest plays of all time. Three different early versions of the play are extant: the First Quarto ; the Second Quarto ; and the First Folio. Each version includes lines and passages missing from the others.
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, including the complete works of William Shakespeare. In fact, the monkey would almost surely type every possible finite text an infinite number of times. The theorem can be generalized to state that any sequence of events that has a non-zero probability of happening will almost certainly occur an infinite number of times, given an infinite amount of time or a universe that is infinite in size.
In probability theory, the law of large numbers (LLN) is a mathematical law that states that the average of the results obtained from a large number of independent random samples converges to the true value, if it exists. More formally, the LLN states that given a sample of independent and identically distributed values, the sample mean converges to the true mean.
Dan Dare is a British science fiction comic hero, created by illustrator Frank Hampson who also wrote the first stories. Dare appeared in the Eagle comic series Dan Dare, Pilot of the Future from 1950 to 1967, and dramatised seven times a week on Radio Luxembourg (1951–1956).
"The Library of Babel" is a short story by Argentine author and librarian Jorge Luis Borges (1899–1986), conceiving of a universe in the form of a vast library containing all possible 410-page books of a certain format and character set.
In probability theory, an event is said to happen almost surely if it happens with probability 1. In other words, the set of outcomes on which the event does not occur has probability 0, even though the set might not be empty. The concept is analogous to the concept of "almost everywhere" in measure theory. In probability experiments on a finite sample space with a non-zero probability for each outcome, there is no difference between almost surely and surely ; however, this distinction becomes important when the sample space is an infinite set, because an infinite set can have non-empty subsets of probability 0.
Félix Édouard Justin Émile Borel was a French mathematician and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability.
"Pierre Menard, Author of the Quixote" is a short story by Argentine writer Jorge Luis Borges.
The weasel program or Dawkins' weasel is a thought experiment and a variety of computer simulations illustrating it. Their aim is to demonstrate that the process that drives evolutionary systems—random variation combined with non-random cumulative selection—is different from pure chance.
A universal probability bound is a probabilistic threshold whose existence is asserted by William A. Dembski and is used by him in his works promoting intelligent design. It is defined as
A degree of improbability below which a specified event of that probability cannot reasonably be attributed to chance regardless of whatever probabilitistic resources from the known universe are factored in.
In software testing, monkey testing is a technique where the user tests the application or system by providing random inputs and checking the behavior, or seeing whether the application or system will crash. Monkey testing is usually implemented as random, automated unit tests.
Words, Words, Words is a one-act play written by David Ives for his collection of six one-act plays, All in the Timing. The play is about Kafka, Milton, and Swift, three intelligent chimpanzees who are put in a cage together under the experimenting eye of a never seen Dr. Rosenbaum, a scientist testing the hypothesis that three apes hitting keys at random on typewriters for an infinite amount of time will almost surely produce Shakespeare's play Hamlet. The show's title is a phrase quoted from Hamlet. The performance comprises the ape characters humorously confronting and conversing with each other in order to understand the purpose of the exercise put upon them.
The junkyard tornado, sometimes known as Hoyle's fallacy, is a fallacious argument formulated by Fred Hoyle against Earth-based abiogenesis and in favor of panspermia. The junkyard tornado argument has been taken out of its original context by theists to argue for intelligent design, and has since become a mainstay in the rejection of evolution by religious groups, even though Fred Hoyle declared himself an atheist, and even though the junkyard tornado argument is considered a fallacy in its original context of Earth-based abiogenesis vs. panspermia.
Numerous cultural references to Hamlet reflect the continued influence of this play. Hamlet is one of the most popular of Shakespeare's plays, topping the list at the Royal Shakespeare Company since 1879, as of 2004.
Powerhouse Animation Studios, Inc. is an American animation studio based in Austin, Texas. It was founded in April 2001 with a subsidiary called Powerhouse Animation LLC, established in the summer of 2014. The company develops and produces traditional 2D animation, motion comics, motion graphics, art assets, digital paint, illustration for television series, motion pictures, video game cinemas, commercials, advertising campaigns, educational properties, and entertainment companies.
The Quality of Mercy Is Not Strnen is the debut album by the Mekons, released in 1979.