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Albert Einstein
Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence formula , which arises from special relativity, has been called "the world's most famous equation". He received the 1921 Nobel Prize in Physics for . Born in the German Empire, Einstein moved to Switzerland in 1895, forsaking his German citizenship (as a subject of the Kingdom of Württemberg) the following year. In 1897, at the age of seventeen, he enrolled in the mathematics and physics teaching diploma program at the Swiss ETH Zurich, federal polytechnic school in Zurich, graduating in 1900. He acquired Swiss citizenship a year later, which he kept for the rest of his life, and afterwards secured a permanent position at the Swiss Patent Office in Bern. In 1905, he submitted a successful PhD dissertation to the University of Zurich. In 19 ...
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David Hilbert
David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time. Hilbert discovered and developed a broad range of fundamental ideas including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory). He adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set a course for mathematical research of the 20th century. Hilbert and his students contributed to establishing rigor and developed important tools used in modern mathematical physics. He was a cofounder of proof theory and mathematical logic. Life Early life and education Hilbert, the first of two children and only son of O ...
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Felix Klein
Felix Christian Klein (; ; 25 April 1849 – 22 June 1925) was a German mathematician and Mathematics education, mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations between geometry and group theory. His 1872 Erlangen program classified geometries by their basic symmetry groups and was an influential synthesis of much of the mathematics of the time. During his tenure at the University of Göttingen, Klein was able to turn it into a center for mathematical and scientific research through the establishment of new lectures, professorships, and institutes. His Felix Klein Protocols, seminars covered most areas of mathematics then known as well as their applications. Klein also devoted considerable time to mathematical instruction and promoted mathematics education reform at all grade levels in Germany and abroad. He became the first president of the International Commission on Mathematical Instruction in 1908 ...
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Essentially Contested Concept
Essentially contested concept refers to abstract terms or phrases that provide value judgements which can be contested. The term ''essentially contested concept'' was proposed to facilitate an understanding of the different interpretations of abstractions that have qualitative and evaluative notions—such as " art", "philanthropy", "power", and "social justice". The notion of essentially contested concept was proposed in 1956 by Walter Bryce Gallie. Essentially contested concepts involve agreed on abstract concepts or phrases, but whose usage and interpretation is disputable by others (e.g. "social justice", "This picture is a work of art"). They are abstract concepts whose “proper use of which inevitably involves endless disputes about their proper uses on the part of their users", and these disputes "cannot be settled by appeal to empirical evidence, linguistic usage, or the canons of logic alone". Usually, essentially contested concepts are found in the social sciences whe ...
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Semantic Change
Semantic change (also semantic shift, semantic progression, semantic development, or semantic drift) is a form of language change regarding the evolution of word usage—usually to the point that the modern meaning is radically different from the original usage. In diachronic (or historical) linguistics, semantic change is a change in one of the meanings of a word. Every word has a variety of senses and connotations, which can be added, removed, or altered over time, often to the extent that cognates across space and time have very different meanings. The study of semantic change can be seen as part of etymology, onomasiology, semasiology, and semantics. Examples in English * Awful – Literally "full of awe", originally meant "inspiring wonder (or fear)", hence "impressive". In contemporary usage, the word means "extremely bad". * Awesome – Literally "awe-inducing", originally meant "inspiring wonder (or fear)", hence "impressive". In contemporary usage, the word means " ...
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Contronym
A contronym or contranym is a word with two Opposite (semantics), opposite word sense, meanings. For example, the word ''wikt:original, original'' can mean "authentic, traditional", or "novel, never done before". This feature is also called enantiosemy, enantionymy (''wikt:enantio-#Prefix, enantio-'' means "opposite"), antilogy or autoantonymy. An enantiosemic term is by definition polysemy, polysemic. Nomenclature A contronym is alternatively called an ''autantonym'', ''auto-antonym'', ''antagonym'', ''enantiodrome'', ''enantionym'', ''Janus word'' (after the Roman god Janus, who is usually depicted with two faces), ''self-antonym'', ''antilogy'', or ''addad'' (Arabic, singular ''didd''). Linguistic mechanisms Some pairs of contronyms are true homographs, i.e., distinct words with different etymology, etymologies which happen to have the same form. For instance ''cleave'' "separate" is from Old English language, Old English ''clēofan'', while ''cleave'' "adhere" is from Ol ...
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Irrelevant Conclusion
An irrelevant conclusion, also known as or missing the point, is the informal fallacy of presenting an argument whose conclusion fails to address the issue in question. It falls into the broad class of relevance fallacies. The irrelevant conclusion should not be confused with formal fallacy, an argument whose conclusion does not follow from its premises; instead, it is that despite its formal consistency it is not relevant to the subject being talked about. Overview ''Ignoratio elenchi'' is one of the fallacies identified by Aristotle in his ''Organon''. In a broader sense he asserted that all fallacies are a form of ''ignoratio elenchi''. ● Example 1: A and B are debating as to whether criticizing indirectly has any merit in general. attempts to support their position with an argument that politics ought not to be criticized on social media because the message is not directly being heard by the head of state; this would make them guilty of ''ignoratio elenchi'', as peo ...
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Chinese Language
Chinese ( or ) is a group of languages spoken natively by the ethnic Han Chinese majority and List of ethnic groups in China, many minority ethnic groups in China, as well as by various communities of the Chinese diaspora. Approximately 1.39 billion people, or 17% of the global population, speak a variety of Chinese as their first language. Chinese languages form the Sinitic languages, Sinitic branch of the Sino-Tibetan language family. The spoken varieties of Chinese are usually considered by native speakers to be dialects of a single language. However, their lack of mutual intelligibility means they are sometimes considered to be separate languages in a Language family, family. Investigation of the historical relationships among the varieties of Chinese is ongoing. Currently, most classifications posit 7 to 13 main regional groups based on phonetic developments from Middle Chinese, of which the most spoken by far is Mandarin Chinese, Mandarin with 66%, or around 800&nb ...
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Philip Warren Anderson
Philip Warren Anderson (December 13, 1923 – March 29, 2020) was an American theoretical physicist and Nobel laureate. Anderson made contributions to the theories of Anderson localization, localization, antiferromagnetism, symmetry breaking (including a paper in 1962 discussing symmetry breaking in particle physics, leading to the development of the Standard Model around 10 years later), and high-temperature superconductivity, and to the philosophy of science through his writings on emergent phenomena. Anderson is also responsible for naming the field of physics that is now known as condensed matter physics. Education and early life Anderson was born in Indianapolis, Indiana, and grew up in Urbana, Illinois. His father, Harry Warren Anderson, was a professor of plant pathology at the University of Illinois at Urbana–Champaign, University of Illinois at Urbana-Champaign; his maternal grandfather was a mathematician at Wabash College, where Anderson's father studied; and his m ...
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Gary Gutting
Gary Michael Gutting (April 11, 1942 – January 18, 2019) was an American philosopher and holder of an endowed chair in philosophy at the University of Notre Dame. His daughter is writer Tasha Alexander. Work Gutting was an expert on the philosopher Michel Foucault and an editor of ''Notre Dame Philosophical Reviews''. Through his publications in such media outlets as ''The New York Times'' and The Stone, he adopted the role of a public intellectual. He dealt with both continental and analytic philosophy Analytic philosophy is a broad movement within Western philosophy, especially English-speaking world, anglophone philosophy, focused on analysis as a philosophical method; clarity of prose; rigor in arguments; and making use of formal logic, mat ... and had written on bridging the analytic–continental divide. Books * ''Talking God: Philosophers on Belief'', W. W. Norton & Company, 2016 * ''What Philosophy Can Do'', W. W. Norton & Company, 2015 * ''Thinking the Impossibl ...
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