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๐ Nicolas Bourbaki: The Greatest Mathematician That Never Existed
Nicolas Bourbaki (French pronunciation:ย โ[nikษla buสbaki]) is the collective pseudonym of a group of mathematicians, predominantly French alumni of the รcole normale supรฉrieure (ENS). Founded in 1934โ1935, the Bourbaki group originally intended to prepare a new textbook in analysis. Over time the project became much more ambitious, growing into a large series of textbooks published under the Bourbaki name, meant to treat modern pure mathematics. The series is known collectively as the รlรฉments de mathรฉmatique (Elements of Mathematics), the group's central work. Topics treated in the series include set theory, abstract algebra, topology, analysis, Lie groups and Lie algebras.
Bourbaki was founded in response to the effects of the First World War which caused the death of a generation of French mathematicians; as a result, young university instructors were forced to use dated texts. While teaching at the University of Strasbourg, Henri Cartan complained to his colleague Andrรฉ Weil of the inadequacy of available course material, which prompted Weil to propose a meeting with others in Paris to collectively write a modern analysis textbook. The group's core founders were Cartan, Claude Chevalley, Jean Delsarte, Jean Dieudonnรฉ and Weil; others participated briefly during the group's early years, and membership has changed gradually over time. Although former members openly discuss their past involvement with the group, Bourbaki has a custom of keeping its current membership secret.
The group's namesake derives from the 19th century French general Charles-Denis Bourbaki, who had a career of successful military campaigns before suffering a dramatic loss in the Franco-Prussian War. The name was therefore familiar to early 20th century French students. Weil remembered an ENS student prank in which an upperclassman posed as a professor and presented a "theorem of Bourbaki"; the name was later adopted.
The Bourbaki group holds regular private conferences for the purpose of drafting and expanding the รlรฉments. Topics are assigned to subcommittees, drafts are debated, and unanimous agreement is required before a text is deemed fit for publication. Although slow and labor-intensive, the process results in a work which meets the group's standards for rigour and generality. The group is also associated with the Sรฉminaire Bourbaki, a regular series of lectures presented by members and non-members of the group, also published and disseminated as written documents. Bourbaki maintains an office at the ENS.
Nicolas Bourbaki was influential in 20th century mathematics, particularly during the middle of the century when volumes of the รlรฉments appeared frequently. The group is noted among mathematicians for its rigorous presentation and for introducing the notion of a mathematical structure, an idea related to the broader, interdisciplinary concept of structuralism. Bourbaki's work informed the New Math, a trend in elementary math education during the 1960s. Although the group remains active, its influence is considered to have declined due to infrequent publication of new volumes of the รlรฉments. However the collective's most recent publication appeared in 2016, treating algebraic topology.
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- "Nicolas Bourbaki" | 2024-03-14 | 64 Upvotes 49 Comments
- "Nicolas Bourbaki: The Greatest Mathematician That Never Existed" | 2020-07-20 | 19 Upvotes 5 Comments
๐ Lincos language
Lincos (an abbreviation of the Latin phrase lingua cosmica) is a constructed language first described in 1960 by Dr. Hans Freudenthal in his book Lincos: Design of a Language for Cosmic Intercourse, Part 1. It is a language designed to be understandable by any possible intelligent extraterrestrial life form, for use in interstellar radio transmissions. Freudenthal considered that such a language should be easily understood by beings not acquainted with any Earthling syntax or language. Lincos was designed to be capable of encapsulating "the whole bulk of our knowledge."
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- "Lincos language" | 2020-07-20 | 80 Upvotes 32 Comments
๐ Tunnels and Trolls
Tunnels & Trolls (abbreviated T&T) is a fantasy role-playing game designed by Ken St. Andre and first published in 1975 by Flying Buffalo. The second modern role-playing game published, it was written by Ken St. Andre to be a more accessible alternative to Dungeons & Dragons and is suitable for solitaire, group, and play-by-mail gameplay.
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- "Tunnels and Trolls" | 2020-07-20 | 21 Upvotes 6 Comments
๐ Battle of Athens (1946)
The Battle of Athens (sometimes called the McMinn County War) was a rebellion led by citizens in Athens and Etowah, Tennessee, United States, against the local government in August 1946. The citizens, including some World Warย II veterans, accused the local officials of predatory policing, police brutality, political corruption, and voter intimidation.
๐ Magnets cannot exist under classical mechanics
The Bohrโvan Leeuwen theorem states that when statistical mechanics and classical mechanics are applied consistently, the thermal average of the magnetization is always zero. This makes magnetism in solids solely a quantum mechanical effect and means that classical physics cannot account for diamagnetism.
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- "Magnets cannot exist under classical mechanics" | 2020-07-19 | 141 Upvotes 88 Comments
๐ The Brussels Effect
The Brussels effect is the process of unilateral regulatory globalisation caused by the European Union de facto (but not necessarily de jure) externalising its laws outside its borders through market mechanisms.
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- "Brussels Effect" | 2023-08-10 | 17 Upvotes 1 Comments
- "The Brussels Effect" | 2020-07-17 | 37 Upvotes 14 Comments
๐ Excess-3
Excess-3, 3-excess or 10-excess-3 binary code (often abbreviated as XS-3, 3XS or X3), shifted binary or Stibitz code (after George Stibitz, who built a relay-based adding machine in 1937) is a self-complementary binary-coded decimal (BCD) code and numeral system. It is a biased representation. Excess-3 code was used on some older computers as well as in cash registers and hand-held portable electronic calculators of the 1970s, among other uses.
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- "Excess-3" | 2020-07-16 | 37 Upvotes 6 Comments
๐ Belling the Cat
"Belling the Cat" is a fable also known under the titles "The Bell and the Cat" and "The Mice in Council". Although often attributed to Aesop, it was not recorded before the Middle Ages and has been confused with the quite different fable of Classical origin titled The Cat and the Mice. In the classificatory system established for the fables by B. E. Perry, it is numbered 613, which is reserved for Mediaeval attributions outside the Aesopic canon.
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- "Belling the Cat" | 2022-02-25 | 116 Upvotes 22 Comments
- "Belling the Cat" | 2020-07-15 | 19 Upvotes 4 Comments
๐ Unschooling
Unschooling is an informal learning that advocates learner-chosen activities as a primary means for learning. Unschooling students learn through their natural life experiences including play, household responsibilities, personal interests and curiosity, internships and work experience, travel, books, elective classes, family, mentors, and social interaction. Unschooling encourages exploration of activities initiated by the children themselves, believing that the more personal learning is, the more meaningful, well-understood and therefore useful it is to the child. While courses may occasionally be taken, unschooling questions the usefulness of standard curricula, conventional grading methods, and other features of traditional schooling in the education of each unique child.
The term "unschooling" was coined in the 1970s and used by educator John Holt, widely regarded as the father of unschooling. While unschooling is often considered a subset of homeschooling and homeschooling has been subject to widespread public debate, little media attention has been given to unschooling in particular.
Critics of unschooling see it as an extreme educational philosophy, with concerns that unschooled children will lack the social skills, structure, and motivation of their schooled peers, while proponents of unschooling say exactly the opposite is true: that self-directed education in a natural environment better equips a child to handle the "real world."
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- "Unschooling" | 2020-07-13 | 12 Upvotes 6 Comments
๐ Zamburak
Zamburak (Persian: ุฒู ุจูุฑฺฉโ), literally meaning wasp, was a specialized form of self-propelled artillery from the early modern period, featuring small cannons fired from swivel-mounts on camels. The operator of a zamburak is known as a zamburakchi. The weapon was used by the gunpowder empires, especially the Iranian empires of the Safavid dynasty, Timurid Empire and Afsharid dynasty, due to the ruggedness of the Iranian Plateau, which made typical transportation of heavy cannons problematic.
The zamburak became a deadly weapon in the 18th century. The Pashtuns used it to deadly effect in the Battle of Gulnabad, routing a numerically superior imperial Safavid army. The zamburak was also used successfully in Nader's Campaigns, when the shah and military genius Nader Shah utilized a zamburak corps in conjunction with a regular artillery corps of conventional cannon to devastating effect in numerous battles such as at the Battle of Damghan (1729), the Battle of Yeghevฤrd, and the Battle of Karnal.
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- "Zamburak" | 2020-07-13 | 52 Upvotes 28 Comments