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Everything And More (book)
''Everything and More: A Compact History of Infinity'' is a book by American novelist and essayist David Foster Wallace that examines the history of infinity, focusing primarily on the work of Georg Cantor, the 19th-century German mathematician who created set theory. The book is part of the W. W. Norton "Great Discoveries" series. Neal Stephenson Neal Town Stephenson (born October 31, 1959) is an American writer known for his works of speculative fiction. His novels have been categorized as science fiction, historical fiction, cyberpunk, postcyberpunk, and baroque. Stephenson's work exp ... provided an "Introduction" to a reissued paperback edition (2010), which Stephenson reprinted in his collection ''Some Remarks : Essays and Other Writing''. Reviewers, including Rudy Rucker, A.W. Moore and Michael Harris,Michael Harris, "A Sometimes Funny Book Supposedly about Infinity: A Review of ''Everything and More''." ''Notices of the AMS'' 51.6 (2004), 632–638.full pdf ...
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David Foster Wallace
David Foster Wallace (February 21, 1962 – September 12, 2008) was an American novelist, short story writer, essayist, and university professor of English and creative writing. Wallace is widely known for his 1996 novel '' Infinite Jest'', which ''Time'' magazine cited as one of the 100 best English-language novels from 1923 to 2005. His posthumous novel, '' The Pale King'' (2011), was a finalist for the Pulitzer Prize for Fiction in 2012. The ''Los Angeles Times''s David Ulin called Wallace "one of the most influential and innovative writers of the last twenty years". Wallace grew up in Illinois and attended Amherst College. He taught English at Emerson College, Illinois State University, and Pomona College. In 2008, he died by suicide at age 46 after struggling with depression for many years. Early life and education David Foster Wallace was born in Ithaca, New York, to Sally Jean Wallace (' Foster) and James Donald Wallace. The family moved to Champaign-Urbana, Illin ...
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Hardback
A hardcover, hard cover, or hardback (also known as hardbound, and sometimes as case-bound) book is one bound with rigid protective covers (typically of binder's board or heavy paperboard covered with buckram or other cloth, heavy paper, or occasionally leather). It has a flexible, sewn spine which allows the book to lie flat on a surface when opened. Modern hardcovers may have the pages glued onto the spine in much the same way as paperbacks. Following the ISBN sequence numbers, books of this type may be identified by the abbreviation Hbk. Hardcover books are often printed on acid-free paper, and they are much more durable than paperbacks, which have flexible, easily damaged paper covers. Hardcover books are marginally more costly to manufacture. Hardcovers are frequently protected by artistic dust jackets, but a "jacketless" alternative has increased in popularity: these "paper-over-board" or "jacketless" hardcover bindings forgo the dust jacket in favor of printing t ...
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Paperback
A paperback (softcover, softback) book is one with a thick paper or paperboard cover, and often held together with glue rather than stitches or staples. In contrast, hardcover (hardback) books are bound with cardboard covered with cloth, leather, paper, or plastic. Inexpensive books bound in paper have existed since at least the 19th century in such forms as pamphlets, yellowbacks, dime novels, and airport novels. Modern paperbacks can be differentiated from one another by size. In the United States, there are "mass-market paperbacks" and larger, more durable "trade paperbacks". In the United Kingdom, there are A-format, B-format, and the largest C-format sizes. Paperback editions of books are issued when a publisher decides to release a book in a low-cost format. Lower-quality paper, glued (rather than stapled or sewn) bindings, and the lack of a hard cover may contribute to the lower cost of paperbacks. Paperback can be the preferred medium when a book is not expected t ...
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Novelist
A novelist is an author or writer of novels, though often novelists also write in other genres of both fiction and non-fiction. Some novelists are professional novelists, thus make a living wage, living writing novels and other fiction, while others aspire to support themselves in this way or write as an avocation. Most novelists struggle to have their debut novel published, but once published they often continue to be published, although very few become literary celebrities, thus gaining prestige or a considerable income from their work. Description Novelists come from a variety of backgrounds and social classes, and frequently this shapes the content of their works. Audience reception, Public reception of a novelist's work, the literary criticism commenting on it, and the novelists' incorporation of their own experiences into works and characters can lead to the author's personal life and identity being associated with a novel's fictional content. For this reason, the environment ...
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Essay
An essay is, generally, a piece of writing that gives the author's own argument, but the definition is vague, overlapping with those of a letter, a paper, an article, a pamphlet, and a short story. Essays have been sub-classified as formal and informal: formal essays are characterized by "serious purpose, dignity, logical organization, length," whereas the informal essay is characterized by "the personal element (self-revelation, individual tastes and experiences, confidential manner), humor, graceful style, rambling structure, unconventionality or novelty of theme," etc. Essays are commonly used as literary criticism, political manifestos, learned arguments, observations of daily life, recollections, and reflections of the author. Almost all modern essays are written in prose, but works in verse have been dubbed essays (e.g., Alexander Pope's '' An Essay on Criticism'' and '' An Essay on Man''). While brevity usually defines an essay, voluminous works like John Locke ...
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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 among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes. For example, if a line is viewed as the set of ...
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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 rai ...
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Set Theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory. The non-formalized systems investigated during this early stage go under the name of ''naive set theory''. After the discovery of paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox) various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly employed as a foundational ...
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Neal Stephenson
Neal Town Stephenson (born October 31, 1959) is an American writer known for his works of speculative fiction. His novels have been categorized as science fiction, historical fiction, cyberpunk, postcyberpunk, and baroque. Stephenson's work explores mathematics, cryptography, linguistics, philosophy, currency, and the history of science. He also writes non-fiction articles about technology in publications such as ''Wired (magazine), Wired''. He has written novels with his uncle, George Jewsbury ("J. Frederick George"), under the collective pseudonym Stephen Bury. Stephenson has worked part-time as an advisor for Blue Origin, a company (founded by Jeff Bezos) developing a spacecraft and a space launch system, and is also a cofounder of Subutai Corporation, whose first offering is the interactive fiction project ''The Mongoliad''. He was Magic Leap's Chief Futurist from 2014 to 2020. Early life Born on October 31, 1959, in Fort George G. Meade, Fort Meade, Maryland, Stephenson ca ...
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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) degr ...
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2003 Non-fiction Books
3 (three) is a number, numeral and digit. It is the natural number following 2 and preceding 4, and is the smallest odd prime number and the only prime preceding a square number. It has religious or cultural significance in many societies. Evolution of the Arabic digit The use of three lines to denote the number 3 occurred in many writing systems, including some (like Roman and Chinese numerals) that are still in use. That was also the original representation of 3 in the Brahmic (Indian) numerical notation, its earliest forms aligned vertically. However, during the Gupta Empire the sign was modified by the addition of a curve on each line. The Nāgarī script rotated the lines clockwise, so they appeared horizontally, and ended each line with a short downward stroke on the right. In cursive script, the three strokes were eventually connected to form a glyph resembling a with an additional stroke at the bottom: ३. The Indian digits spread to the Caliphate in the ...
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Books By David Foster Wallace
A book is a medium for recording information in the form of writing or images, typically composed of many pages (made of papyrus, parchment, vellum, or paper) bound together and protected by a cover. The technical term for this physical arrangement is ''codex'' (plural, ''codices''). In the history of hand-held physical supports for extended written compositions or records, the codex replaces its predecessor, the scroll. A single sheet in a codex is a leaf and each side of a leaf is a page. As an intellectual object, a book is prototypically a composition of such great length that it takes a considerable investment of time to compose and still considered as an investment of time to read. In a restricted sense, a book is a self-sufficient section or part of a longer composition, a usage reflecting that, in antiquity, long works had to be written on several scrolls and each scroll had to be identified by the book it contained. Each part of Aristotle's ''Physics'' is called ...
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