Jouko Väänänen
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Jouko Väänänen
Jouko Antero Väänänen (born September 3, 1950 in Rovaniemi, Lapland) is a Finnish mathematical logician known for his contributions to set theory,J. VäänänenSecond order logic or set theory? Bulletin of Symbolic Logic, 18(1), 91-121, 2012. model theory In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing statements about a mathematical structure), and their models (those structures in which the s ..., logic and foundations of mathematics. He served as the vice-rector at the University of Helsinki, and a professor of mathematics at the University of Helsinki, as well as a professor of mathematical logic and foundations of mathematics at the University of Amsterdam. He completed his PhD at the University of Manchester under the supervision of Peter Aczel in 1977 with the PhD thesis entitled "Applications of set theory to generalized quantifiers". He was elected to the ...
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Rovaniemi
Rovaniemi ( , ; sme, Roavvenjárga ; smn, Ruávinjargâ; sms, Ruäʹvnjargg) is a city and municipality of Finland. It is the administrative capital and commercial centre of Finland's northernmost province, Lapland, and its southern part Peräpohjola. The city centre is situated about south of the Arctic Circle and is between the hills of Ounasvaara and Korkalovaara, at the confluence of the river Kemijoki and its tributary, the Ounasjoki. It is the second-largest city of Northern Finland after Oulu, and, together with the capital city Helsinki, it is one of Finland's most significant tourist cities in terms of foreign tourism. The city and the surrounding (Rural municipality of Rovaniemi) were consolidated into a single entity on 1 January 2006. Rovaniemi municipality has an approximate population of . The urban area of Rovaniemi has a population of 53,361, in an area of about . Rovaniemi is a unilingual Finnish-speaking municipality and, uncommonly for larger Finnish to ...
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University Of Amsterdam
The University of Amsterdam (abbreviated as UvA, nl, Universiteit van Amsterdam) is a public research university located in Amsterdam, Netherlands. The UvA is one of two large, publicly funded research universities in the city, the other being the Vrije Universiteit Amsterdam (VU). Established in 1632 by municipal authorities and later renamed for the city of Amsterdam, the University of Amsterdam is the third-oldest university in the Netherlands. It is one of the largest research universities in Europe with 31,186 students, 4,794 staff, 1,340 PhD students and an annual budget of €600 million. It is the largest university in the Netherlands by enrollment. The main campus is located in central Amsterdam, with a few faculties located in adjacent boroughs. The university is organised into seven faculties: Humanities, Social and Behavioural Sciences, Economics and Business, Science, Law, Medicine, Dentistry. The University of Amsterdam has produced six Nobel Laureates and fiv ...
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Academic Staff Of The University Of Amsterdam
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulation, d ...
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Academic Staff Of The University Of Helsinki
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulation, dev ...
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Finnish Mathematicians
Finnish may refer to: * Something or someone from, or related to Finland * Culture of Finland * Finnish people or Finns, the primary ethnic group in Finland * Finnish language, the national language of the Finnish people * Finnish cuisine See also * Finish (other) * Finland (other) * Suomi (other) Suomi means ''Finland'' in Finnish. It may also refer to: *Finnish language * Suomi (surname) * Suomi, Minnesota, an unincorporated community * Suomi College, in Hancock, Michigan, now referred to as Finlandia University * Suomi Island, Western ... * {{disambiguation Language and nationality disambiguation pages ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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1950 Births
Year 195 ( CXCV) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Scrapula and Clemens (or, less frequently, year 948 '' Ab urbe condita''). The denomination 195 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus has the Roman Senate deify the previous emperor Commodus, in an attempt to gain favor with the family of Marcus Aurelius. * King Vologases V and other eastern princes support the claims of Pescennius Niger. The Roman province of Mesopotamia rises in revolt with Parthian support. Severus marches to Mesopotamia to battle the Parthians. * The Roman province of Syria is divided and the role of Antioch is diminished. The Romans annexed the Syrian cities of Edessa and Nisibis. Severus re-establ ...
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Dependence Logic
Dependence logic is a logical formalism, created by Jouko Väänänen, which adds ''dependence atoms'' to the language of First Order Logic, first-order logic. A dependence atom is an expression of the form =\!\!(t_1 \ldots t_n), where t_1 \ldots t_n are terms, and corresponds to the statement that the value of t_n is Functional dependency, functionally dependent on the values of t_1\ldots t_. Dependence logic is a Logics of imperfect information, logic of imperfect information, like Branching quantifier, branching quantifier logic or independence-friendly logic: in other words, its Game semantics, game theoretic semantics can be obtained from that of first-order logic by restricting the availability of information to the players, thus allowing for non-linearly ordered patterns of dependence and independence between variables. However, dependence logic differs from these logics in that it separates the notions of dependence and independence from the notion of quantification. Synta ...
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European Mathematical Society
The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current president is Volker Mehrmann, professor at the Institute for Mathematics at the Technical University of Berlin. Goals The Society seeks to serve all kinds of mathematicians in universities, research institutes and other forms of higher education. Its aims are to #Promote mathematical research, both pure and applied, #Assist and advise on problems of mathematical education, #Concern itself with the broader relations of mathematics to society, #Foster interaction between mathematicians of different countries, #Establish a sense of identity amongst European mathematicians, #Represent the mathematical community in supra-national institutions. The EMS is itself an Affiliate Member of the International Mathematical Union and an Associate Membe ...
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Finnish Academy Of Science And Letters
The Finnish Academy of Science and Letters (Finnish ''Suomalainen Tiedeakatemia''; Latin ''Academia Scientiarum Fennica'') is a Finnish learned society. It was founded in 1908 and is thus the second oldest academy in Finland. The oldest is the Finnish Society of Sciences and Letters, which was founded in 1838. Members The academy has a total of 328 seats for Finnish members. When a member of the academy turns 65 years, his seat is free for selection of a new member, but he remains a full member until death. The seats are divided into two sections Section of Science * Mathematics and Computer Science 28 members * Physics and Astronomy 26 members * Geosciences 24 members * Chemistry 21 members * Biology 22 members * Agriculture and Forestry 22 members * Medicine 46 members 189 seats Section of the Humanities * Theology and Religion 11 members * Philosophy and Aesthetics 12 members * Psychology and Pedagogy 14 members * History and Archaeology 17 members * Finno-Ugric Studi ...
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Foundations Of Mathematics
Foundations of mathematics is the study of the philosophy, philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague. Foundations of mathematics can be conceived as the study of the basic mathematical concepts (set, function, geometrical figure, number, etc.) and how they form hierarchies of more complex structures and concepts, especially the fundamentally important structures that form the language of mathematics (formulas, theories and their model theory, models giving a meaning to formulas, definitions, proofs, algorithms, etc.) also called metamathematics, metamathematical concepts, with an eye to the philosophical aspects and the unity of mathematics. The search for foundations of mathematics is a cent ...
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Lapland (Finland)
Lapland ( fi, Lappi ; se, Lappi; smn, Laapi; sv, Lappland; la, Lapponia, links=no) is the largest and northernmost region of Finland. The 21 municipalities in the region cooperate in a Regional Council. Lapland borders the region of North Ostrobothnia in the south. It also borders the Gulf of Bothnia, Norrbotten County in Sweden, Troms and Finnmark County in Norway, and Murmansk Oblast and the Republic of Karelia in Russia. Topography varies from vast mires and forests of the South to fells in the North. The Arctic Circle crosses Lapland, so polar phenomena such as the midnight sun and polar night can be viewed in Lapland. Lapland's cold and wintry climate, coupled with its relative abundance of conifer trees such as pines and spruces, means that it has become associated with Christmas in some countries, most notably the United Kingdom, and holidays to Lapland are common towards the end of the year. However, the Lapland region has developed its infrastructure for year-round ...
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