Klaus Mainzer
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Klaus Mainzer
Klaus Mainzer (born 1947) is a German philosopher and scientist. Mainzer is the president of the European Academy of Sciences and Arts. He is the author of the widely translated, cited, and reviewed book ''Thinking in Complexity''. Academic career Mainzer graduated from the Landrat-Lucas-Gymnasium in Opladen and studied mathematics, physics and philosophy. In 1973, he obtained a doctorate in philosophy and mathematics fundamentals ("Mathematical Constructivism"). In 1979, Mainzer got his habilitation in philosophy with a thesis on "Space, Geometry and Continuum" at the University of Münster. In 1980, he received a Heisenberg grant. He was a professor for the basic theory and history of exact sciences at the University of Konstanz from 1981 to 1988. He was the Vice-rector, Vice-Rector of the University of Konstanz between 1985 and 1988. From 1988 to 2008, Klaus Mainzer was a professor of the philosophy of science and director of the Institute for Philosophy. Since 1998, h ...
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European Academy Of Sciences And Arts
The European Academy of Sciences and Arts (EASA, la, Academia Scientiarum et Artium Europaea) is a transnational and interdisciplinary network, connecting about 2,000 recommended scientists and artists worldwide, including 37 Nobel Prize laureates. The European Academy of Sciences and Arts is a learned society of scientists and artists, founded by Felix Unger. The academy was founded 1990, is situated in Salzburg and has been supported by the city of Vienna, the government of Austria, and the European Commission. The EASA is now headed by President Klaus Mainzer, TUM Emeritus of Excellence at the Technical University of Munich and Senior Professor at the Carl Friedrich von Weizsäcker Center of the University of Tübingen. It is unrelated to and should not be confused with a different, highly controversial, and less well-established academy, the Belgium-based European Academy of Sciences. It is a member of the InterAcademy Partnership. Its activities have included a collabo ...
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Japan
Japan ( ja, 日本, or , and formally , ''Nihonkoku'') is an island country in East Asia. It is situated in the northwest Pacific Ocean, and is bordered on the west by the Sea of Japan, while extending from the Sea of Okhotsk in the north toward the East China Sea, Philippine Sea, and Taiwan in the south. Japan is a part of the Ring of Fire, and spans Japanese archipelago, an archipelago of List of islands of Japan, 6852 islands covering ; the five main islands are Hokkaido, Honshu (the "mainland"), Shikoku, Kyushu, and Okinawa Island, Okinawa. Tokyo is the Capital of Japan, nation's capital and largest city, followed by Yokohama, Osaka, Nagoya, Sapporo, Fukuoka, Kobe, and Kyoto. Japan is the List of countries and dependencies by population, eleventh most populous country in the world, as well as one of the List of countries and dependencies by population density, most densely populated and Urbanization by country, urbanized. About three-fourths of Geography of Japan, the c ...
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Quantum Mechanics
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science. Classical physics, the collection of theories that existed before the advent of quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, but is not sufficient for describing them at small (atomic and subatomic) scales. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic) scale. Quantum mechanics differs from classical physics in that energy, momentum, angular momentum, and other quantities of a bound system are restricted to discrete values ( quantization); objects have characteristics of both particles and waves (wave–particle duality); and there are limits to ...
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Symmetry
Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are intricately related, and hence are discussed together in this article. Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature ...
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Time
Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future. It is a component quantity of various measurements used to sequence events, to compare the duration of events or the intervals between them, and to quantify rates of change of quantities in material reality or in the conscious experience. Time is often referred to as a fourth dimension, along with three spatial dimensions. Time has long been an important subject of study in religion, philosophy, and science, but defining it in a manner applicable to all fields without circularity has consistently eluded scholars. Nevertheless, diverse fields such as business, industry, sports, the sciences, and the performing arts all incorporate some notion of time into their respective measuring systems. 108 pages. Time in physics is operationally defined as "what a clock reads". The physical nature of time is addre ...
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Space
Space is the boundless three-dimensional extent in which objects and events have relative position and direction. In classical physics, physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework. Debates concerning the nature, essence and the mode of existence of space date back to antiquity; namely, to treatises like the ''Timaeus'' of Plato, or Socrates in his reflections on what the Greeks called ''khôra'' (i.e. "space"), or in the ''Physics'' of Aristotle (Book IV, Delta) in the definition of ''topos'' (i.e. place), or in the later "geometrical conception of place" as "spac ...
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Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ...
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Schloß Dagstuhl
Dagstuhl is a computer science research center in Germany, located in and named after a district of the town of Wadern, Merzig-Wadern, Saarland. Location Following the model of the mathematical center at Oberwolfach, the center is installed in a very remote and relaxed location in the countryside. The Leibniz Center is located in a historic country house, Schloss Dagstuhl (Dagstuhl Castle), together with modern purpose-built buildings connected by an enclosed footbridge. The ruins of the 13th-century Dagstuhl Castle are nearby, a short walk up a hill from the Schloss. History The Leibniz-Zentrum für Informatik (LZI, ''Leibniz Center for Informatics'') was established at Dagstuhl in 1990. In 1993, the over 200-year-old building received a modern extension with other guest rooms, conference rooms and a library. The center is managed as a non-profit organization, and financed by national funds. It receives scientific support by a variety of German and foreign research institutio ...
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Leibniz Center For Informatics
Dagstuhl is a computer science research center in Germany, located in and named after a district of the town of Wadern, Merzig-Wadern, Saarland. Location Following the model of the mathematical center at Oberwolfach, the center is installed in a very remote and relaxed location in the countryside. The Leibniz Center is located in a historic country house, Schloss Dagstuhl (Dagstuhl Castle), together with modern purpose-built buildings connected by an enclosed footbridge. The ruins of the 13th-century Dagstuhl Castle are nearby, a short walk up a hill from the Schloss. History The Leibniz-Zentrum für Informatik (LZI, ''Leibniz Center for Informatics'') was established at Dagstuhl in 1990. In 1993, the over 200-year-old building received a modern extension with other guest rooms, conference rooms and a library. The center is managed as a non-profit organization, and financed by national funds. It receives scientific support by a variety of German and foreign research institutio ...
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Bonn
The federal city of Bonn ( lat, Bonna) is a city on the banks of the Rhine in the German state of North Rhine-Westphalia, with a population of over 300,000. About south-southeast of Cologne, Bonn is in the southernmost part of the Rhine-Ruhr region, Germany's largest metropolitan area, with over 11 million inhabitants. It is a university city and the birthplace of Ludwig van Beethoven. Founded in the 1st century BC as a Roman settlement in the province Germania Inferior, Bonn is one of Germany's oldest cities. It was the capital city of the Electorate of Cologne from 1597 to 1794, and residence of the Archbishops and Prince-electors of Cologne. From 1949 to 1990, Bonn was the capital of West Germany, and Germany's present constitution, the Basic Law, was declared in the city in 1949. The era when Bonn served as the capital of West Germany is referred to by historians as the Bonn Republic. From 1990 to 1999, Bonn served as the seat of government – but no longer capital – ...
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Saint Petersburg
Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), is the second-largest city in Russia. It is situated on the Neva River, at the head of the Gulf of Finland on the Baltic Sea, with a population of roughly 5.4 million residents. Saint Petersburg is the fourth-most populous city in Europe after Istanbul, Moscow and London, the most populous city on the Baltic Sea, and the world's northernmost city of more than 1 million residents. As Russia's Imperial capital, and a historically strategic port, it is governed as a federal city. The city was founded by Tsar Peter the Great on 27 May 1703 on the site of a captured Swedish fortress, and was named after apostle Saint Peter. In Russia, Saint Petersburg is historically and culturally associated with t ...
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