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White Light (novel)
''White Light'' is a work of science fiction by Rudy Rucker published in 1980 by Virgin Books in the UK and Ace Books in the US. It was written while Rucker was teaching mathematics at the University of Heidelberg from 1978 to 1980, at roughly the same time he was working on the non-fiction book ''Infinity and the Mind''. On one level, the book is an exploration of the mathematics of infinity through fiction, in much the same way the novel '' Flatland: A Romance of Many Dimensions'' explored the concept of multiple dimensions. More specifically, ''White Light'' uses an imaginary universe to elucidate the set theory concept of aleph numbers, which are more or less the idea that some infinities are bigger than others. Plot summary The book is the story of Felix Rayman, a down-and-out mathematics teacher at SUCAS (a state college in New York, a play on SUNY) with a troubled family life and dead-in-the-water career. In the fictional town of Bernho ( Geneseo), he begins experime ...
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Rudy Rucker
Rudolf von Bitter Rucker (; born March 22, 1946) is an American mathematician, computer scientist, science fiction author, and one of the founders of the cyberpunk literary movement. The author of both fiction and non-fiction, he is best known for the novels in the Ware Tetralogy, the first two of which (''Software'' and '' Wetware'') both won Philip K. Dick Awards. Until its closure in 2014 he edited the science fiction webzine '' Flurb''. Early life Rucker was born and raised in Louisville, Kentucky, son of Embry Cobb Rucker Sr (October 1, 1914 - August 1, 1994), who ran a small furniture-manufacture company and later became an Episcopal priest and community activist, and Marianne (née von Bitter). The Rucker family were of Huguenot descent. Through his mother, he is a great-great-great-grandson of Georg Wilhelm Friedrich Hegel. Rucker attended St. Xavier High School before earning a BA in mathematics from Swarthmore College (1967) and MS (1969) and PhD (1973) degrees ...
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Restless Ghost
In mythology and folklore, a vengeful ghost or vengeful spirit is said to be the spirit of a dead person who returns from the afterlife to seek revenge for a cruel, unnatural or unjust death. In certain cultures where funeral and burial or cremation ceremonies are important, such vengeful spirits may also be considered as unhappy ghosts of individuals who have not been given a proper funeral. Cultural background The concept of a vengeful ghost seeking retribution for harm that it endured as a living person goes back to ancient times and is part of many cultures. According to such legends and beliefs, they roam the world of the living as restless spirits, seeking to have their grievances redressed, and may not be satisfied until they have succeeded in punishing either their murderers or their tormentors. In certain cultures vengeful ghosts are mostly female, said to be women that were unjustly treated during their lifetime. Such women or girls may have died in despair or the suff ...
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Raymond Chandler
Raymond Thornton Chandler (July 23, 1888 – March 26, 1959) was an American-British novelist and screenwriter. In 1932, at the age of forty-four, Chandler became a detective fiction writer after losing his job as an oil company executive during the Great Depression. His first short story, " Blackmailers Don't Shoot", was published in 1933 in '' Black Mask,'' a popular pulp magazine. His first novel, ''The Big Sleep'', was published in 1939. In addition to his short stories, Chandler published seven novels during his lifetime (an eighth, in progress at the time of his death, was completed by Robert B. Parker). All but '' Playback'' have been made into motion pictures, some more than once. In the year before his death, he was elected president of the Mystery Writers of America. Chandler had an immense stylistic influence on American popular literature. He is a founder of the hardboiled school of detective fiction, along with Dashiell Hammett, James M. Cain and other ''Black Mask ...
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Thomas M
Thomas may refer to: People * List of people with given name Thomas * Thomas (name) * Thomas (surname) * Saint Thomas (other) * Thomas Aquinas (1225–1274) Italian Dominican friar, philosopher, and Doctor of the Church * Thomas the Apostle * Thomas (bishop of the East Angles) (fl. 640s–650s), medieval Bishop of the East Angles * Thomas (Archdeacon of Barnstaple) (fl. 1203), Archdeacon of Barnstaple * Thomas, Count of Perche (1195–1217), Count of Perche * Thomas (bishop of Finland) (1248), first known Bishop of Finland * Thomas, Earl of Mar (1330–1377), 14th-century Earl, Aberdeen, Scotland Geography Places in the United States * Thomas, Illinois * Thomas, Indiana * Thomas, Oklahoma * Thomas, Oregon * Thomas, South Dakota * Thomas, Virginia * Thomas, Washington * Thomas, West Virginia * Thomas County (other) * Thomas Township (other) Elsewhere * Thomas Glacier (Greenland) Arts, entertainment, and media * ''Thomas'' (Burton novel) 1969 novel ...
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Banach–Tarski Paradox
The Banach–Tarski paradox is a theorem in set-theoretic geometry, which states the following: Given a solid ball in three-dimensional space, there exists a decomposition of the ball into a finite number of disjoint subsets, which can then be put back together in a different way to yield two identical copies of the original ball. Indeed, the reassembly process involves only moving the pieces around and rotating them without changing their shape. However, the pieces themselves are not "solids" in the usual sense, but infinite scatterings of points. The reconstruction can work with as few as five pieces. An alternative form of the theorem states that given any two "reasonable" solid objects (such as a small ball and a huge ball), the cut pieces of either one can be reassembled into the other. This is often stated informally as "a pea can be chopped up and reassembled into the Sun" and called the "pea and the Sun paradox". The theorem is called a paradox because it contradicts ...
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Aether (classical Element)
According to ancient and medieval science, aether (, alternative spellings include ''æther'', ''aither'', and ''ether''), also known as the fifth element or quintessence, is the material that fills the region of the universe beyond the terrestrial sphere. The concept of aether was used in several theories to explain several natural phenomena, such as the traveling of light and gravity. In the late 19th century, physicists postulated that aether permeated all throughout space, providing a medium through which light could travel in a vacuum, but evidence for the presence of such a medium was not found in the Michelson–Morley experiment, and this result has been interpreted as meaning that no such luminiferous aether exists. Mythological origins The word (''aithḗr'') in Homeric Greek means "pure, fresh air" or "clear sky". In Greek mythology, it was thought to be the pure essence that the gods breathed, filling the space where they lived, analogous to the ''air'' breathed ...
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Cardinality Of The Continuum
In set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers \mathbb R, sometimes called the continuum. It is an infinite cardinal number and is denoted by \mathfrak c (lowercase fraktur "c") or , \mathbb R, . The real numbers \mathbb R are more numerous than the natural numbers \mathbb N. Moreover, \mathbb R has the same number of elements as the power set of \mathbb N. Symbolically, if the cardinality of \mathbb N is denoted as \aleph_0, the cardinality of the continuum is This was proven by Georg Cantor in his uncountability proof of 1874, part of his groundbreaking study of different infinities. The inequality was later stated more simply in his diagonal argument in 1891. Cantor defined cardinality in terms of bijective functions: two sets have the same cardinality if, and only if, there exists a bijective function between them. Between any two real numbers ''a''  \mathfrak c . Alternative explanation for 𝔠 = 2ℵ0 ...
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Aleph-null
In mathematics, particularly in set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered. They were introduced by the mathematician Georg Cantor and are named after the symbol he used to denote them, the Hebrew letter aleph (\,\aleph\,). The cardinality of the natural numbers is \,\aleph_0\, (read ''aleph-nought'' or ''aleph-zero''; the term ''aleph-null'' is also sometimes used), the next larger cardinality of a well-orderable set is aleph-one \,\aleph_1\;, then \,\aleph_2\, and so on. Continuing in this manner, it is possible to define a cardinal number \,\aleph_\alpha\, for every ordinal number \,\alpha\;, as described below. The concept and notation are due to Georg Cantor, who defined the notion of cardinality and realized that infinite sets can have different cardinalities. The aleph numbers differ from the infinity (\,\infty\,) commonly found in algebra and calculus, in that the alephs m ...
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The Metamorphosis
''Metamorphosis'' (german: Die Verwandlung) is a novella written by Franz Kafka which was first published in 1915. One of Kafka's best-known works, ''Metamorphosis'' tells the story of salesman Gregor Samsa, who wakes one morning to find himself inexplicably transformed into a huge insect (german: ungeheueres Ungeziefer, " monstrous vermin") and subsequently struggles to adjust to this new condition. The novella has been widely discussed among literary critics, with differing interpretations being offered. In popular culture and adaptations of the novella, the insect is commonly depicted as a cockroach. Plot Gregor Samsa wakes up one morning to find himself transformed into a "monstrous vermin". He initially considers the transformation to be temporary and slowly ponders the consequences of this metamorphosis. Stuck on his back and unable to get up and leave the bed, Gregor reflects on his job as a traveling salesman and cloth merchant, which he characterizes as being full o ...
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Franz Kafka
Franz Kafka (3 July 1883 – 3 June 1924) was a German-speaking Bohemian novelist and short-story writer, widely regarded as one of the major figures of 20th-century literature. His work fuses elements of realism and the fantastic. It typically features isolated protagonists facing bizarre or surrealistic predicaments and incomprehensible socio-bureaucratic powers. It has been interpreted as exploring themes of alienation, existential anxiety, guilt, and absurdity. His best known works include the short story "The Metamorphosis" and novels ''The Trial'' and '' The Castle''. The term ''Kafkaesque'' has entered English to describe absurd situations, like those depicted in his writing. Kafka was born into a middle-class German-speaking Czech Jewish family in Prague, the capital of the Kingdom of Bohemia, then part of the Austro-Hungarian Empire, today the capital of the Czech Republic. He trained as a lawyer and after completing his legal education was employed full-ti ...
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Hilbert's Paradox Of The Grand Hotel
Hilbert's paradox of the Grand Hotel (colloquial: Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive property of infinite sets. It is demonstrated that a fully occupied hotel with infinitely many rooms may still accommodate additional guests, even infinitely many of them, and this process may be repeated infinitely often. The idea was introduced by David Hilbert in a 1924 lecture "Über das Unendliche", reprinted in , and was popularized through George Gamow's 1947 book '' One Two Three... Infinity''. The paradox Consider a hypothetical hotel with a countably infinite number of rooms, all of which are occupied. One might be tempted to think that the hotel would not be able to accommodate any newly arriving guests, as would be the case with a finite number of rooms, where the pigeonhole principle would apply. Finitely many new guests Suppose a new guest arrives and wishes to be accommodated in the hotel. We can (simultaneously) ...
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Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor ( , ;  – January 6, 1918) was a German mathematician. He played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an infinity of infinities. He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact he was well aware of. Originally, Cantor's theory of transfinite numbers was regarded as counter-intuitive – even shocking. This caused it to encounter resistance from mathematical contemporaries such as Leopold Kronecker and Henri Poincaré and later from Hermann Weyl and L. E. J. Brouwer, while Ludwig Wittgenstein raised ...
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