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Eugenia Cheng
Eugenia Loh-Gene Cheng is a British mathematician and concert pianist. Her mathematical interests include higher category theory, and as a pianist she specialises in lieder and art song. She is also passionate about explaining mathematics to non-mathematicians to rid the world of math phobia, often using entertaining analogies with food and baking. Cheng is a scientist-in-residence at the School of the Art Institute of Chicago. Early life and education Cheng was born in Hampshire, England. She moved to Sussex at the age of one. Her family is originally from Hong Kong. Her interest in mathematics stemmed from a young age thanks largely to her mother who made mathematics a part of life. Cheng attended Roedean School. She studied the Mathematical Tripos at the University of Cambridge, where she was a student of Gonville and Caius College, Cambridge. Her postgraduate research was supervised by Martin Hyland. Career and research As of 2020, Cheng is a scientist-in-residence ...
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Phi Beta Kappa Society
The Phi Beta Kappa Society () is the oldest academic honor society in the United States, and the most prestigious, due in part to its long history and academic selectivity. Phi Beta Kappa aims to promote and advocate excellence in the liberal arts and sciences, and to induct the most outstanding students of arts and sciences at only select American colleges and universities. It was founded at the College of William and Mary on December 5, 1776, as the first collegiate Greek-letter fraternity and was among the earliest collegiate fraternal societies. Since its inception, 17 U.S. Presidents, 40 U.S. Supreme Court Justices, and 136 Nobel Laureates have been inducted members. Phi Beta Kappa () stands for ('), which means "Wisdom it. love of knowledgeis the guide it. helmsmanof life". Membership Phi Beta Kappa has chapters in only about 10% of American higher learning institutions, and only about 10% of these schools' Arts and Sciences graduates are invited to join the society. A ...
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Sussex
Sussex (), from the Old English (), is a historic county in South East England that was formerly an independent medieval Anglo-Saxon kingdom. It is bounded to the west by Hampshire, north by Surrey, northeast by Kent, south by the English Channel, and divided for many purposes into the ceremonial counties of West Sussex and East Sussex. Brighton and Hove, though part of East Sussex, was made a unitary authority in 1997, and as such, is administered independently of the rest of East Sussex. Brighton and Hove was granted city status in 2000. Until then, Chichester was Sussex's only city. The Brighton and Hove built-up area is the 15th largest conurbation in the UK and Brighton and Hove is the most populous city or town in Sussex. Crawley, Worthing and Eastbourne are major towns, each with a population over 100,000. Sussex has three main geographic sub-regions, each oriented approximately east to west. In the southwest is the fertile and densely populated coastal plain. Nort ...
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Same-sex Marriage
Same-sex marriage, also known as gay marriage, is the marriage of two people of the same Legal sex and gender, sex or gender. marriage between same-sex couples is legally performed and recognized in 33 countries, with the most recent being Same-sex marriage in Mexico, Mexico, constituting some 1.35 billion people (17% of the world's population). In Same-sex marriage in Andorra, Andorra, a law allowing same-sex marriage will come into force on 17 February 2023. Same-sex adoption, Adoption rights are not necessarily covered, though most states with same-sex marriage allow those couples to jointly adopt as other married couples can. In contrast, 34 countries (as of 2021) have definitions of marriage in their constitutions that prevent marriage between couples of the same sex, most enacted in recent decades as a preventative measure. Some other countries have constitutionally mandated Islamic law, which is generally interpreted as prohibiting marriage between same-sex couples. ...
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Royal Society Prizes For Science Books
The Royal Society Science Books Prize is an annual £25,000 prize awarded by the Royal Society to celebrate outstanding popular science books from around the world. It is open to authors of science books written for a non-specialist audience, and since it was established in 1988 has championed writers such as Stephen Hawking, Jared Diamond, Stephen Jay Gould and Bill Bryson. In 2015 ''The Guardian'' described the prize as "the most prestigious science book prize in Britain". History The Royal Society established the Science Books Prize in 1988 with the aim of encouraging the writing, publishing and reading of good and accessible popular science books. Its name has varied according to sponsorship agreements. Judging process A panel of judges decides the shortlist and the winner of the Prize each year. The panel is chaired by a fellow of the Royal Society and includes authors, scientists and media personalities. The judges for the 2016 prize included author Bill Bryson, theoreti ...
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Zeno's Paradoxes
Zeno's paradoxes are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea (c. 490–430 BC) to support Parmenides' doctrine that contrary to the evidence of one's senses, the belief in plurality and change is mistaken, and in particular that motion is nothing but an illusion. It is usually assumed, based on Plato's ''Parmenides'' (128a–d), that Zeno took on the project of creating these paradoxes because other philosophers had created paradoxes against Parmenides' view. Thus Plato has Zeno say the purpose of the paradoxes "is to show that their hypothesis that existences are many, if properly followed up, leads to still more absurd results than the hypothesis that they are one." Plato has Socrates claim that Zeno and Parmenides were essentially arguing exactly the same point. Some of Zeno's nine surviving paradoxes (preserved in Aristotle's ''Physics''
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Cantor's Diagonal Argument
In set theory, Cantor's diagonal argument, also called the diagonalisation argument, the diagonal slash argument, the anti-diagonal argument, the diagonal method, and Cantor's diagonalization proof, was published in 1891 by Georg Cantor as a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers. English translation: Such sets are now known as uncountable sets, and the size of infinite sets is now treated by the theory of cardinal numbers which Cantor began. The diagonal argument was not Cantor's first proof of the uncountability of the real numbers, which appeared in 1874. However, it demonstrates a general technique that has since been used in a wide range of proofs, including the first of Gödel's incompleteness theorems and Turing's answer to the ''Entscheidungsproblem''. Diagonalization arguments are often also the source of contradictions like Russell's paradox and Richard's paradox. ...
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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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Beyond Infinity (mathematics Book)
''Beyond Infinity : An Expedition to the Outer Limits of Mathematics'' is a popular mathematics book by Eugenia Cheng centered on concepts of infinity. It was published by Basic Books and (with a slightly different title) by Profile Books in 2017, and in a paperback edition in 2018. It was shortlisted for the Royal Society Prizes for Science Books, 2017 Royal Society Insight Investment Science Book Prize. Topics The book is divided into two parts, with the first exploring notions leading to concepts of actual infinity, concrete but infinite mathematical values. After an exploration of number systems, this part discusses set theory, cardinal numbers, and ordinal numbers, transfinite arithmetic, and the existence of different infinite sizes of sets. Topics used to illustrate these concepts include Hilbert's paradox of the Grand Hotel, Cantor's diagonal argument, and the unprovability of the continuum hypothesis. The second part concerns mathematics related to the idea of potentia ...
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The New York Times
''The New York Times'' (''the Times'', ''NYT'', or the Gray Lady) is a daily newspaper based in New York City with a worldwide readership reported in 2020 to comprise a declining 840,000 paid print subscribers, and a growing 6 million paid digital subscribers. It also is a producer of popular podcasts such as '' The Daily''. Founded in 1851 by Henry Jarvis Raymond and George Jones, it was initially published by Raymond, Jones & Company. The ''Times'' has won 132 Pulitzer Prizes, the most of any newspaper, and has long been regarded as a national " newspaper of record". For print it is ranked 18th in the world by circulation and 3rd in the U.S. The paper is owned by the New York Times Company, which is publicly traded. It has been governed by the Sulzberger family since 1896, through a dual-class share structure after its shares became publicly traded. A. G. Sulzberger, the paper's publisher and the company's chairman, is the fifth generation of the family to head the pa ...
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Kirkus Reviews
''Kirkus Reviews'' (or ''Kirkus Media'') is an American book review magazine founded in 1933 by Virginia Kirkus (1893–1980). The magazine is headquartered in New York City. ''Kirkus Reviews'' confers the annual Kirkus Prize to authors of fiction, nonfiction, and young readers' literature. ''Kirkus Reviews'', published on the first and 15th of each month; previews books before their publication. ''Kirkus'' reviews over 10,000 titles per year. History Virginia Kirkus was hired by Harper & Brothers to establish a children's book department in 1926. The department was eliminated as an economic measure in 1932 (for about a year), so Kirkus left and soon established her own book review service. Initially, she arranged to get galley proofs of "20 or so" books in advance of their publication; almost 80 years later, the service was receiving hundreds of books weekly and reviewing about 100. Initially titled ''Bulletin'' by Kirkus' Bookshop Service from 1933 to 1954, the title was ...
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Category Theory
Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Nowadays, category theory is used in almost all areas of mathematics, and in some areas of computer science. In particular, many constructions of new mathematical objects from previous ones, that appear similarly in several contexts are conveniently expressed and unified in terms of categories. Examples include quotient spaces, direct products, completion, and duality. A category is formed by two sorts of objects: the objects of the category, and the morphisms, which relate two objects called the ''source'' and the ''target'' of the morphism. One often says that a morphism is an ''arrow'' that ''maps'' its source to its target. Morphisms can be ''composed'' if the target of the first morphism equals the source of the second one, and morphism compos ...
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Electronic Notes In Theoretical Computer Science
''Electronic Notes in Theoretical Computer Science'' is an electronic computer science journal published by Elsevier, started in 1995. Its issues include many post-proceedings for workshops, etc. The journal is abstracted and indexed in Scopus and Science Citation Index The Science Citation Index Expanded – previously entitled Science Citation Index – is a citation index originally produced by the Institute for Scientific Information (ISI) and created by Eugene Garfield. It was officially launched in 1964 and .... Electronic Notes in Theoretical Computer Science has been discontinued as of 2021. References Computer science journals Elsevier academic journals Publications established in 1995 {{comp-sci-theory-stub ...
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