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Paul Bernays
Paul Isaac Bernays (17 October 1888 – 18 September 1977) was a Swiss mathematician who made significant contributions to mathematical logic, axiomatic set theory, and the philosophy of mathematics. He was an assistant and close collaborator of David Hilbert. Biography Bernays was born into a distinguished German-Jewish family of scholars and businessmen. His great-grandfather, Isaac ben Jacob Bernays, served as chief rabbi of Hamburg from 1821 to 1849. Bernays spent his childhood in Berlin, and attended the Köllner Gymnasium, 1895–1907. At the University of Berlin, he studied mathematics under Issai Schur, Edmund Landau, Ferdinand Georg Frobenius, and Friedrich Schottky; philosophy under Alois Riehl, Carl Stumpf and Ernst Cassirer; and physics under Max Planck. At the University of Göttingen, he studied mathematics under David Hilbert, Edmund Landau, Hermann Weyl, and Felix Klein; physics under Voigt and Max Born; and philosophy under Leonard Nelson. In 1912, the Unive ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London
London is the capital and largest city of England and the United Kingdom, with a population of just under 9 million. It stands on the River Thames in south-east England at the head of a estuary down to the North Sea, and has been a major settlement for two millennia. The City of London, its ancient core and financial centre, was founded by the Romans as '' Londinium'' and retains its medieval boundaries.See also: Independent city § National capitals The City of Westminster, to the west of the City of London, has for centuries hosted the national government and parliament. Since the 19th century, the name "London" has also referred to the metropolis around this core, historically split between the counties of Middlesex, Essex, Surrey, Kent, and Hertfordshire, which largely comprises Greater London, governed by the Greater London Authority.The Greater London Authority consists of the Mayor of London and the London Assembly. The London Mayor is distinguished fr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Logic
Mathematical logic is the study of logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include uses of logic to characterize correct mathematical reasoning or to establish foundations of mathematics. Since its inception, mathematical logic has both contributed to and been motivated by the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic, and Mathematical analysis, analysis. In the early 20th century it was shaped by David Hilbert's Hilbert's program, program to prove the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to the program, and clarified the issues involved in pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hermann Weyl
Hermann Klaus Hugo Weyl, (; 9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher. Although much of his working life was spent in Zürich, Switzerland, and then Princeton, New Jersey, he is associated with the University of Göttingen tradition of mathematics, represented by Carl Friedrich Gauss, David Hilbert and Hermann Minkowski. His research has had major significance for theoretical physics as well as purely mathematical disciplines such as number theory. He was one of the most influential mathematicians of the twentieth century, and an important member of the Institute for Advanced Study during its early years. Weyl contributed to an exceptionally wide range of mathematical fields, including works on space, time, matter, philosophy, logic, symmetry and the history of mathematics. He was one of the first to conceive of combining general relativity with the laws of electromagnetism. Freeman Dyson wrote that Weyl alone bore ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Göttingen
The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded in 1734 by George II, King of Great Britain and Elector of Hanover, and starting classes in 1737, the Georgia Augusta was conceived to promote the ideals of the Enlightenment. It is the oldest university in the state of Lower Saxony and the largest in student enrollment, which stands at around 31,600. Home to many noted figures, it represents one of Germany's historic and traditional institutions. According to an official exhibition held by the University of Göttingen in 2002, 44 Nobel Prize winners had been affiliated with the University of Göttingen as alumni, faculty members or researchers by that year alone. The University of Göttingen was previously supported by the German Universities Excellence Initiative, holds memberships ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Max Planck
Max Karl Ernst Ludwig Planck (, ; 23 April 1858 – 4 October 1947) was a German theoretical physicist whose discovery of energy quanta won him the Nobel Prize in Physics in 1918. Planck made many substantial contributions to theoretical physics, but his fame as a physicist rests primarily on his role as the originator of quantum theory, which revolutionized human understanding of atomic and subatomic processes. In 1948, the German scientific institution Kaiser Wilhelm Society (of which Planck was twice president) was renamed Max Planck Society (MPG). The MPG now includes 83 institutions representing a wide range of scientific directions. Life and career Planck came from a traditional, intellectual family. His paternal great-grandfather and grandfather were both theology professors in Göttingen; his father was a law professor at the University of Kiel and Munich. One of his uncles was also a judge. Planck was born in 1858 in Kiel, Holstein, to Johann Julius Wilhelm Plan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Cassirer
Ernst Alfred Cassirer ( , ; July 28, 1874 – April 13, 1945) was a German philosopher. Trained within the Neo-Kantian Marburg School, he initially followed his mentor Hermann Cohen in attempting to supply an idealistic philosophy of science. After Cohen's death in 1918, Cassirer developed a theory of symbolism and used it to expand phenomenology of knowledge into a more general philosophy of culture. Cassirer was one of the leading 20th-century advocates of philosophical idealism. His most famous work is the ''Philosophy of Symbolic Forms'' (1923–1929). Though his work received a mixed reception shortly after his death, more recent scholarship has remarked upon Cassirer's role as a strident defender of the moral idealism of the Enlightenment era and the cause of liberal democracy at a time when the rise of fascism had made such advocacy unfashionable. Within the international Jewish community, Cassirer's work has additionally been seen as part of a long tradition of thought on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carl Stumpf
Carl Stumpf (; 21 April 1848 – 25 December 1936) was a German philosopher, psychologist and musicologist. He is noted for founding the Berlin School of Experimental Psychology. He studied with Franz Brentano at the University of Würzburg before receiving his doctorate at the University of Göttingen in 1868. He also tutored the modernist literature writer Robert Musil at the University of Berlin, and worked with Hermann Lotze, who is famous for his work in perception, at Göttingen. Stumpf is known for his work on the ''psychology of tones''. He had an important influence on his students Wolfgang Köhler and Kurt Koffka who were instrumental in the founding of ''Gestalt'' psychology as well as Kurt Lewin, who was also a part of the Gestalt group and was key in the establishment of experimental social psychology in America. Stumpf is considered one of the pioneers of comparative musicology and ethnomusicology, as documented in his study of the origins of human musical cogni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alois Riehl
Alois Adolf Riehl (; 27 April 1844 – 21 November 1924) was an Austrian neo-Kantian philosopher. He was born in Bozen (Bolzano) in the Austrian Empire (now in Italy). He was the brother of . Biography Riehl studied at Vienna, Munich, Innsbruck and Graz. He earned his PhD from Innsbruck in 1868. He habilitated at Graz at 1870. He worked as a full professor of philosophy at Graz from 1878, then at Freiburg (from 1882 as a replacement for Wilhelm Windelband), Kiel and Halle, and finally at Berlin, where he commissioned Mies van der Rohe to design his house in Neubabelsberg. For Riehl, philosophy was not the teaching of ''Weltanschauung'', but principally a criticism of perception. He was the doctoral advisor of Paul Hensel and Oswald Spengler. Riehl died in Neubabelsberg, near Potsdam,Riehl, Alois (Aloys) at Deutsche Biographie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Friedrich Schottky
Friedrich Hermann Schottky (24 July 1851 – 12 August 1935) was a German mathematician who worked on elliptic, abelian, and theta functions and introduced Schottky groups and Schottky's theorem. He was born in Breslau, Germany (now Wrocław, Poland) and died in Berlin. Schottky was a professor at the University of Zurich from 1882-1892. He is also the father of Walter H. Schottky, the German physicist and inventor of a variety of semiconductor concepts. See also *Prime form *Prym variety *Walter H. Schottky Walter Hans Schottky (23 July 1886 – 4 March 1976) was a German physicist who played a major early role in developing the theory of electron and ion emission phenomena, invented the screen-grid vacuum tube in 1915 while working at Siemens ... External links * * * * 1851 births 1935 deaths 19th-century German mathematicians 20th-century German mathematicians Scientists from Wrocław People from the Province of Silesia ETH Zurich faculty German expa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ferdinand Georg Frobenius
Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory. He is known for the famous determinantal identities, known as Frobenius–Stickelberger formulae, governing elliptic functions, and for developing the theory of biquadratic forms. He was also the first to introduce the notion of rational approximations of functions (nowadays known as Padé approximants), and gave the first full proof for the Cayley–Hamilton theorem. He also lent his name to certain differential-geometric objects in modern mathematical physics, known as Frobenius manifolds. Biography Ferdinand Georg Frobenius was born on 26 October 1849 in Charlottenburg, a suburb of Berlin from parents Christian Ferdinand Frobenius, a Protestant parson, and Christine Elizabeth Friedrich. He entered the Joachimsthal Gymnasium in 1860 when he was nearly eleven. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isaac Ben Jacob Bernays
Isaac Bernays ( , , ; 29 September 1792 – 1 May 1849) was Chief Rabbi in Hamburg. Life Bernays was born in Weisenau (now part of Mainz Mainz () is the capital and largest city of Rhineland-Palatinate, Germany. Mainz is on the left bank of the Rhine, opposite to the place that the Main (river), Main joins the Rhine. Downstream of the confluence, the Rhine flows to the north-we ...). He was the son of Jacob Gera, a boarding house keeper at Mainz, and an elder brother of Adolphus Bernays. After having finished his studies at the University of Würzburg, in which city he had been also a disciple of the Talmudist Rabbi Abraham Bing, he went to Munich as private tutor in the house of Herr von Hirsch, and afterward lived at Mainz as a private scholar. In 1821 he was elected chief rabbi of the German-Jewish community in Hamburg, to fill a position where a man of strictly Orthodox views but of modern education was wanted as head of the congregation. After personal negotiations wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Hilbert
David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician, one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, 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). Hilbert adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set the course for much of the mathematical research of the 20th century. Hilbert and his students contributed significantly to establishing rigor and developed important tools used in modern mathematical physics. Hilbert is known as one of the founders of proof theory and mathematical logic. Life Early life and edu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
