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Conference On The Epistemology Of The Exact Sciences
The second Conference on the Epistemology of the Exact Sciences () was held on 5–7 September 1930 in Königsberg, then located in East Prussia. It was at this conference that Kurt Gödel first presented his incompleteness theorems, though just "in an off-hand remark during a general discussion on the last day".Mancosu, Paolo "Between Vienna and Berlin: The immediate reception of Gödel's incompleteness theorems", History and Philosophy of Logic, 20, 1999, 33-45. The real first presentation took place in Vienna. The conference was organised by Kurt Reidemeister of the University of Königsberg. The presentations were grouped around two themes: firstly, the foundation of mathematics and secondly philosophical questions arising from quantum mechanics. The conference was closely related to the journal ''Erkenntnis'' who published the associated papers and accounts of the discussion in ''Erkenntnis'' (1931), 2 pp 87-190. Foundation of mathematics The presentations as regards the found ...
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Königsberg
Königsberg (; ; ; ; ; ; , ) is the historic Germany, German and Prussian name of the city now called Kaliningrad, Russia. The city was founded in 1255 on the site of the small Old Prussians, Old Prussian settlement ''Twangste'' by the Teutonic Knights during the Northern Crusades, Baltic Crusades. It was named in honour of King Ottokar II of Bohemia, who led a campaign against the pagan Old Prussians, a Baltic tribe. A Baltic Sea, Baltic port city, it successively became the capital of the State of the Teutonic Order, the Duchy of Prussia and the provinces of East Prussia and Province of Prussia, Prussia. Königsberg remained the coronation city of the Prussian monarchy from 1701 onwards, though the capital was Berlin. From the thirteenth to the twentieth centuries on, the inhabitants spoke predominantly German language, German, although the city also had a profound influence upon the Lithuanian and Polish cultures. It was a publishing center of Lutheranism, Lutheran literatu ...
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Berlin
Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population within city limits, highest population within its city limits of any city in the European Union. The city is also one of the states of Germany, being the List of German states by area, third smallest state in the country by area. Berlin is surrounded by the state of Brandenburg, and Brandenburg's capital Potsdam is nearby. The urban area of Berlin has a population of over 4.6 million and is therefore the most populous urban area in Germany. The Berlin/Brandenburg Metropolitan Region, Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's second-largest metropolitan region after the Rhine-Ruhr region, as well as the List of EU metropolitan areas by GDP, fifth-biggest metropolitan region by GDP in the European Union. ...
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Leipzig
Leipzig (, ; ; Upper Saxon: ; ) is the most populous city in the States of Germany, German state of Saxony. The city has a population of 628,718 inhabitants as of 2023. It is the List of cities in Germany by population, eighth-largest city in Germany and is part of the Central German Metropolitan Region. The name of the city is usually interpreted as a Slavic term meaning ''place of linden trees'', in line with many other Slavic placenames in the region. Leipzig is located about southwest of Berlin, in the southernmost part of the North German Plain (the Leipzig Bay), at the confluence of the White Elster and its tributaries Pleiße and Parthe. The Leipzig Riverside Forest, Europe's largest intra-city riparian forest, has developed along these rivers. Leipzig is at the centre of Neuseenland (''new lake district''). This district has Bodies of water in Leipzig, several artificial lakes created from former lignite Open-pit_mining, open-pit mines. Leipzig has been a trade city s ...
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Werner Heisenberg
Werner Karl Heisenberg (; ; 5 December 1901 – 1 February 1976) was a German theoretical physicist, one of the main pioneers of the theory of quantum mechanics and a principal scientist in the German nuclear program during World War II. He published his Umdeutung paper, ''Umdeutung'' paper in 1925, a major reinterpretation of old quantum theory. In the subsequent series of papers with Max Born and Pascual Jordan, during the same year, his matrix mechanics, matrix formulation of quantum mechanics was substantially elaborated. He is known for the uncertainty principle, which he published in 1927. Heisenberg was awarded the 1932 Nobel Prize in Physics "for the creation of quantum mechanics". Heisenberg also made contributions to the theories of the Fluid dynamics, hydrodynamics of turbulent flows, the atomic nucleus, ferromagnetism, cosmic rays, and subatomic particles. He introduced the concept of a wave function collapse. He was also instrumental in planning the first West Germa ...
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Hans Reichenbach
Hans Reichenbach (; ; September 26, 1891 – April 9, 1953) was a leading philosopher of science, educator, and proponent of logical empiricism. He was influential in the areas of science, education, and of logical empiricism. He founded the ''Gesellschaft für empirische Philosophie'' (Society for Empirical Philosophy) in Berlin in 1928, also known as the " Berlin Circle". Carl Gustav Hempel, Richard von Mises, David Hilbert and Kurt Grelling all became members of the Berlin Circle. In 1930, Reichenbach and Rudolf Carnap became editors of the journal '' Erkenntnis''. He also made lasting contributions to the study of empiricism based on a theory of probability; the logic and the philosophy of mathematics; space, time, and relativity theory; analysis of probabilistic reasoning; and quantum mechanics. In 1951, he authored ''The Rise of Scientific Philosophy'', his most popular book. Early life Hans was the second son of a Jewish merchant, Bruno Reichenbach, who had conve ...
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Hans Hahn (mathematician)
Hans Hahn (; ; 27 September 1879 – 24 July 1934) was an Austrian mathematician and philosopher who made contributions to functional analysis, topology, set theory, the calculus of variations, real analysis, and order theory. In philosophy he was among the main logical positivists of the Vienna Circle. Biography Born in Vienna as the son of a higher government official of the K.K. Telegraphen-Korrespondenz Bureau (since 1946 named "Austria Presse Agentur"), in 1898 Hahn became a student at the Universität Wien starting with a study of law. In 1899 he switched over to mathematics and spent some time at the universities of Strasbourg, Munich and Göttingen. In 1902 he took his Ph.D. in Vienna, on the subject "Zur Theorie der zweiten Variation einfacher Integrale". He was a student of Gustav von Escherich. He was appointed to the teaching staff ( Habilitation) in Vienna in 1905. After 1905/1906 as a stand-in for Otto Stolz at the University of Innsbruck and some further year ...
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Göttingen
Göttingen (, ; ; ) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. According to the 2022 German census, the population of Göttingen was 124,548. Overview The origins of Göttingen lay in a village called ''Gutingi, ''first mentioned in a document in 953 AD. The city was founded northwest of this village, between 1150 and 1200 AD, and adopted its name. In Middle Ages, medieval times the city was a member of the Hanseatic League and hence a wealthy town. Today, Göttingen is famous for its old university (''Georgia Augusta'', or University of Göttingen, "Georg-August-Universität"), which was founded in 1734 (first classes in 1737) and became the most visited university of Europe. In 1837, seven professors protested against the absolute sovereignty of the House of Hanover, kings of Kingdom of Hanover, Hanover; they lost their positions, but ...
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Otto Neugebauer
Otto Eduard Neugebauer (May 26, 1899 – February 19, 1990) was an Austrian-American mathematician and historian of science who became known for his research on the history of astronomy and the other exact sciences as they were practiced in antiquity and the Middle Ages. By studying clay tablets, he discovered that the ancient Babylonians knew much more about mathematics and astronomy than had been previously realized. The National Academy of Sciences has called Neugebauer "the most original and productive scholar of the history of the exact sciences, perhaps of the history of science, of our age." Career Neugebauer was born in Innsbruck, Austria. His father Rudolph Neugebauer was a railroad construction engineer and a collector and scholar of Oriental carpets. His parents died when he was quite young. During World War I, Neugebauer enlisted in the Austrian Army and served as an artillery lieutenant on the Italian front and then in an Italian prisoner-of-war camp alongside fe ...
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Freiburg
Freiburg im Breisgau or simply Freiburg is the List of cities in Baden-Württemberg by population, fourth-largest city of the German state of Baden-Württemberg after Stuttgart, Mannheim and Karlsruhe. Its built-up area has a population of about 355,000 (2021), while the greater Freiburg metropolitan area ("Einzugsgebiet") has about 660,000 (2018). Freiburg is located at the southwestern foothills of the Black Forest, on the Dreisam River, a tributary of the Elz (Rhine), Elz. It is Germany's southwestern- and southernmost city with a population exceeding 100,000. It lies in the Breisgau, one of Germany's warmest regions, in the south of the Upper Rhine Plain. Its city limits reach from the Schauinsland summit () in the Black Forest to east of the French border, while Switzerland is to the south. The city is situated in the major Baden (wine region), wine-growing region of Baden and, together with Offenburg, serves as a tourist entry-point to the scenic Black Forest. According ...
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Arnold Scholz
Arnold Scholz (24 December 1904 in Berlin – 1 February 1942 in Flensburg) was a German mathematician working in algebraic number theory who proved Scholz's reciprocity law and introduced the Scholz conjecture. Biography Life Scholz was the son of Reinhold Scholz, an executive at the Prussian Military Research Office. He attended the Kaiserin Auguste Gymnasium in Charlottenburg. From 1923 to 1928, he studied Mathematics, Philosophy and Musicology at the Universität Berlin. In 1928, Scholz wrote his dissertation, supervised by Issai Schur and titled ''Über die Bildung algebraischer Zahlkörper mit auflösbarer Galoisscher Gruppe'' ("On the creation of algebraic number fields with solvable Galois Groups"). In 1927, Scholz spent a semester in Vienna, where he studied under Philipp Furtwängler. After his promotion, he became a lecture assistant in Berlin in 1928, a Privatdozent in Freiburg im Breisgau in 1930, and a lecturer at the University of Kiel from 1935-1940. In ...
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Ludwig Wittgenstein
Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrian philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language. From 1929 to 1947, Wittgenstein taught at the University of Cambridge. Despite his position, only one book of his philosophy was published during his entire life: the 75-page ''Logisch-Philosophische Abhandlung'' (''Logical-Philosophical Treatise'', 1921), which appeared, together with an English translation, in 1922 under the Latin title ''Tractatus Logico-Philosophicus''. His only other published works were an article, "Some Remarks on Logical Form" (1929); a book review; and a children's dictionary. #Works, His voluminous manuscripts were edited and published posthumously. The first and best-known of this posthumous series is the 1953 book ''Philosophical Investigations''. A 1999 survey among American university and college teachers ranked the ''Investigations ...
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Philosophy Of Language
Philosophy of language refers to the philosophical study of the nature of language. It investigates the relationship between language, language users, and the world. Investigations may include inquiry into the nature of Meaning (philosophy), meaning, intentionality, reference, the constitution of sentences, concepts, learning, and thought. Gottlob Frege and Bertrand Russell were pivotal figures in analytic philosophy's "linguistic turn". These writers were followed by Ludwig Wittgenstein (''Tractatus Logico-Philosophicus''), the Vienna Circle, Logical positivism, logical positivists, and Willard Van Orman Quine. History Ancient philosophy In the West, inquiry into language stretches back to the 5th century BC with philosophers such as Socrates, Plato, Aristotle, and the Stoics. Linguistic speculation predated systematic descriptions of grammar which emerged in India and in Greece. In the dialogue ''Cratylus (dialogue), Cratylus'', Plato considered the question of whether ...
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