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Stevo Todorčević
Stevo Todorčević ( sr-Cyrl, Стево Тодорчевић; born February 9, 1955), is a Yugoslavian mathematician specializing in mathematical logic and set theory. He holds a Canada Research Chair in mathematics at the University of Toronto, and a director of research position at the Centre national de la recherche scientifique in Paris. Early life and education Todorčević was born in Ubovića Brdo. As a child he moved to Banatsko Novo Selo, and went to school in Pančevo. At Belgrade University, he studied pure mathematics, attending lectures by Đuro Kurepa. He began graduate studies in 1978, and wrote his doctoral thesis in 1979 with Kurepa as his advisor. Research Todorčević's work involves mathematical logic, set theory, and their applications to pure mathematics. In Todorčević's 1978 master’s thesis, he constructed a model of MA + ¬wKH in a way to allow him to make the continuum any regular cardinal, and so derived a variety of topological consequences. He ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ubovića Brdo
Ubovića Brdo ( sr-cyrl, Убовића Брдо) is a village in the Mrkonjić Grad municipality, Republic of Srpska, Bosnia and Herzegovina. The village census shows that it had 593 inhabitants in 1953, reduced to only 81 in 2013 as a result of its inhabitants moving to busy cities with resources and jobs are more prevalent. The village is known for their yearly rock climbing competition and festivity called "Pecka Rock Climbing Festival". Name ''Ubovića Brdo or Ubavića Brdo'' derives from the Ubović family. ''Ubav'' derives from the word (pretty, or beautiful). Demographics According to the 1991 census, the village had a total of 213 inhabitants. Ethnic groups in the village include: * Serbs: 213 (100%) According to the 2013 census, the village had a total of 81 inhabitants. Ethnic groups in the village include: * Serbs in North Macedonia, Serbs 81 (100%) Famous people The village is the birthplace of *Stevo Todorčević, a world-renowned mathematician *Tode Nikoleti� ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Centre National De La Recherche Scientifique
The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 engineers and technical staff, and 7,085 contractual workers. It is headquartered in Paris and has administrative offices in Brussels, Beijing, Tokyo, Singapore, Washington, D.C., Bonn, Moscow, Tunis, Johannesburg, Santiago de Chile, Israel, and New Delhi. From 2009 to 2016, the CNRS was ranked No. 1 worldwide by the SCImago Institutions Rankings (SIR), an international ranking of research-focused institutions, including universities, national research centers, and companies such as Facebook or Google. The CNRS ranked No. 2 between 2017 and 2021, then No. 3 in 2022 in the same SIR, after the Chinese Academy of Sciences and before universities such as Harvard University, MIT, or Stanford ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Serbian Academy Of Sciences And Arts
The Serbian Academy of Sciences and Arts ( la, Academia Scientiarum et Artium Serbica, sr-Cyr, Српска академија наука и уметности, САНУ, Srpska akademija nauka i umetnosti, SANU) is a national academy and the most prominent academic institution in Serbia, founded in 1841 as Society of Serbian Letters ( sr, link=no, Друштво србске словесности, ДСС, Društvo srbske slovesnosti, DSS). The Academy's membership has included Nobel laureates Ivo Andrić, Leopold Ružička, Vladimir Prelog, Glenn T. Seaborg, Mikhail Sholokhov, Aleksandr Solzhenitsyn, and Peter Handke as well as, Josif Pančić, Jovan Cvijić, Branislav Petronijević, Vlaho Bukovac, Mihajlo Pupin, Nikola Tesla, Milutin Milanković, Mihailo Petrović-Alas, Mehmed Meša Selimović, Danilo Kiš, Dmitri Mendeleev, Victor Hugo, Leo Tolstoy, Jacob Grimm, Antonín Dvořák, Henry Moore and many other scientists, scholars and artists of Serbian and for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gödel Lecture
The Gödel Lecture is an honor in mathematical logic given by the Association for Symbolic Logic, associated with an annual lecture at the association's general meeting. The award is named after Kurt Gödel and has been given annually since 1990. Award winners The list of award winners and lecture titles is maintained online by the Association for Symbolic Logic. * 1990 Ronald Jensen, ''Inner Models and Large Cardinals.'' * 1991 Dana Scott, ''Will Logicians be Replaced by Machines?'' * 1992 Joseph R. Shoenfield, ''The Priority Method.'' * 1993 Angus Macintyre, ''Logic of Real and p-adic Analysis: Achievements and Challenges.'' * 1994 Donald A. Martin, ''L(R): A Survey.'' * 1995 Leo Harrington, ''Gödel, Heidegger, and Direct Perception (or, Why I am a Recursion Theorist).'' * 1996 Saharon Shelah, ''Categoricity without compactness.'' * 1997 Solomon Feferman, ''Occupations and Preoccupations with Gödel: His *Works* and the Work.'' * 1998 Alexander S. Kechris, ''Curren ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Association For Symbolic Logic
The Association for Symbolic Logic (ASL) is an international organization of specialists in mathematical logic and philosophical logic. The ASL was founded in 1936, and its first president was Alonzo Church. The current president of the ASL is Julia F. Knight. Publications The ASL publishes books and academic journals. Its three official journals are: * '' Journal of Symbolic Logic'(website)– publishes research in all areas of mathematical logic. Founded in 1936, . * ''Bulletin of Symbolic Logic'(website)– publishes primarily expository articles and reviews. Founded in 1995, . * ''Review of Symbolic Logic'(website)– publishes research relating to logic, philosophy, science, and their interactions. Founded in 2008, . In addition, the ASL has a sponsored journal: * ''Journal of Logic and Analysis'(website)– publishes research on the interactions between mathematical logic and pure and applied analysis. Founded in 2009 as an open-access successor to the Springer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
CRM-Fields-PIMS Prize
The CRM-Fields-PIMS Prize is the premier Canadian research prize in the mathematical sciences. It is awarded in recognition of exceptional research achievement in the mathematical sciences and is given annually by three Canadian mathematics institutes: the Centre de Recherches Mathématiques (CRM), the Fields Institute, and the Pacific Institute for the Mathematical Sciences (PIMS). The prize was established in 1994 by the CRM and the Fields Institute as the CRM-Fields Prize. The prize took its current name when PIMS became a partner in 2005. The prize carries a monetary award of $10,000, funded jointly by the three institutes. The inaugural prize winner was H.S.M. Coxeter. Winners Source: Centre de recherches mathématiques *1995 – H. S. M. Coxeter *1996 – George A. Elliott *1997 – James Arthur *1998 – Robert V. Moody *1999 – Stephen A. Cook *2000 – Israel Michael Sigal *2001 – William T. Tutte *2002 – John B. Friedlander *2003 – John McKay and Edwin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Glossary Of Topology
This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also fundamental to algebraic topology, differential topology and geometric topology. All spaces in this glossary are assumed to be topological spaces unless stated otherwise. A ;Absolutely closed: See ''H-closed'' ;Accessible: See T_1. ;Accumulation point: See limit point. ;Alexandrov topology: The topology of a space ''X'' is an Alexandrov topology (or is finitely generated) if arbitrary intersections of open sets in ''X'' are open, or equivalently, if arbitrary unions of closed sets are closed, or, again equivalently, if the open sets are the upper sets of a poset. ;Almost discrete: A space is almost discrete if every open set is closed (hence clopen). The almost discrete spaces are precisely the finitely generated zero-dimensi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Continuum Hypothesis
In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states that or equivalently, that In Zermelo–Fraenkel set theory with the axiom of choice (ZFC), this is equivalent to the following equation in aleph numbers: 2^=\aleph_1, or even shorter with beth numbers: \beth_1 = \aleph_1. The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900. The answer to this problem is independent of ZFC, so that either the continuum hypothesis or its negation can be added as an axiom to ZFC set theory, with the resulting theory being consistent if and only if ZFC is consistent. This independence was proved in 1963 by Paul Cohen, complementing earlier work by Kurt Gödel in 1940. The name of the hypothesis comes from the term '' the continuum'' for the real numbers. History Cantor believed the continuum hypothes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aronszajn Tree
In set theory, an Aronszajn tree is a tree of uncountable height with no uncountable branches and no uncountable levels. For example, every Suslin tree is an Aronszajn tree. More generally, for a cardinal ''κ'', a ''κ''-Aronszajn tree is a tree of height ''κ'' in which all levels have size less than ''κ'' and all branches have height less than ''κ'' (so Aronszajn trees are the same as \aleph_1-Aronszajn trees). They are named for Nachman Aronszajn, who constructed an Aronszajn tree in 1934; his construction was described by . A cardinal ''κ'' for which no ''κ''-Aronszajn trees exist is said to have the tree property (sometimes the condition that ''κ'' is regular and uncountable is included). Existence of κ-Aronszajn trees Kőnig's lemma states that \aleph_0-Aronszajn trees do not exist. The existence of Aronszajn trees (=\aleph_1-Aronszajn trees) was proven by Nachman Aronszajn, and implies that the analogue of Kőnig's lemma does not hold for uncountable trees. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kurepa Hypothesis
In set theory, a Kurepa tree is a tree (''T'', <) of height ω1, each of whose levels is at most countable, and has at least ℵ2 many branches. This concept was introduced by . The existence of a Kurepa tree (known as the Kurepa hypothesis, though Kurepa originally conjectured that this was false) is consistent with the axioms of ZFC: Solovay showed in unpublished work that there are Kurepa trees in Gödel's [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin's Axiom
In the mathematical field of set theory, Martin's axiom, introduced by Donald A. Martin and Robert M. Solovay, is a statement that is independent of the usual axioms of ZFC set theory. It is implied by the continuum hypothesis, but it is consistent with ZFC and the negation of the continuum hypothesis. Informally, it says that all cardinals less than the cardinality of the continuum, \mathfrak c, behave roughly like \aleph_0. The intuition behind this can be understood by studying the proof of the Rasiowa–Sikorski lemma. It is a principle that is used to control certain forcing arguments. Statement For any cardinal 𝛋, we define a statement, denoted by MA(𝛋): For any partial order ''P'' satisfying the countable chain condition (hereafter ccc) and any family ''D'' of dense sets in ''P'' such that '', D, '' ≤ 𝛋, there is a filter ''F'' on ''P'' such that ''F'' ∩ ''d'' is non- empty for every ''d'' in ''D''. \operatorname(\aleph_0) is simply true — this is kn ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pure Mathematics
Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications, but pure mathematicians are not primarily motivated by such applications. Instead, the appeal is attributed to the intellectual challenge and aesthetic beauty of working out the logical consequences of basic principles. While pure mathematics has existed as an activity since at least Ancient Greece, the concept was elaborated upon around the year 1900, after the introduction of theories with counter-intuitive properties (such as non-Euclidean geometries and Cantor's theory of infinite sets), and the discovery of apparent paradoxes (such as continuous functions that are nowhere differentiable, and Russell's paradox). This introduced the need to renew the concept of mathematical rigor and rewrite all mathematics accordingly, with a s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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