Paul Cohen (original) (raw)
Paul Joseph Cohen (2 d'abril de 1934 – 23 de març de 2007) va ser un matemàtic nord-americà.
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| dbo:abstract | Paul Joseph Cohen (2 d'abril de 1934 – 23 de març de 2007) va ser un matemàtic nord-americà. (ca) Paul Joseph Cohen (2. dubna 1934 , New Jersey, USA – 23. března 2007 Palo Alto, Kalifornie) byl americký matematik, který dokázal nezávislosti hypotézy kontinua a axiomu výběru ze Zermelovy-Fraenkelovy teorie množin metodou zvanou forcing. (cs) بول جوزيف كوهين (بالإنجليزية: Paul Joseph Cohen) هو عالم رياضيات أمريكي. (ar) Paul Joseph Cohen (* 2. April 1934 in Long Branch, New Jersey, USA; † 23. März 2007 in Stanford (Kalifornien)) war ein US-amerikanischer Logiker und Mathematiker. Er war Träger der Fields-Medaille. (de) Paul Joseph Cohen (2 de abril de 1934 – 23 de marzo de 2007) fue un matemático estadounidense, que aportó un nuevo punto de vista sobre la hipótesis del continuo apoyándose en la teoría de conjuntos. (es) Paul Joseph Cohen (Long Branch, New Jersey, 1934ko apirilaren 2a- Stanford, Kalifornia, 2007ko martxoaren 23a) estatubatuar matematikaria izan zen. (eu) Paul Joseph Cohen (1934-2007) est un mathématicien américain. Il est connu principalement pour avoir démontré en 1963 que l'hypothèse du continu et l'axiome du choix étaient indépendants des axiomes de la théorie des ensembles de Zermelo-Fraenkel, travaux qui lui ont valu la médaille Fields en 1966. Il a utilisé pour cela une méthode originale, le forcing, technique qu'il avait lui-même inventée. (fr) Paul Joseph Cohen (April 2, 1934 – March 23, 2007) was an American mathematician. He is best known for his proofs that the continuum hypothesis and the axiom of choice are independent from Zermelo–Fraenkel set theory, for which he was awarded a Fields Medal. (en) 폴 조지프 코언(영어: Paul Joseph Cohen, [pɔːl ˈd͡ʒoʊzəf ˈkoʊən], 1934년 4월 2일 ~ 2007년 3월 23일)은 미국의 수학자이다. 집합론의 미제인 연속체 가설을 표준적인 수학 공리로는 해결할 수 없음을 증명하였다. (ko) Paul Joseph Cohen (Long Branch, 2 april 1934 – 23 maart 2007) was een Amerikaans wiskundige, bekend om zijn werk in de verzamelingenleer. Cohen bezocht tot 1950 de Stuyvesant High School in New York, daarna tot 1953 Brooklyn College in New York. Vervolgens studeerde hij aan de Universiteit van Chicago, waar hij in 1958 onder begeleiding van Antoni Zygmund promoveerde. Van 1958 tot 1959 werkte hij op het Massachusetts Institute of Technology, van 1959 tot 1961 op het Institute for Advanced Study te Princeton. Vanaf 1961 werkte hij aan de Stanford University in Californië, waar hij in 1964 hoogleraar werd. Cohen werd vooral beroemd om zijn bewijs in 1963 dat zowel de continuümhypothese als het keuzeaxioma onafhankelijk zijn van de gebruikelijke Zermelo-Fraenkel-axioma's van de verzamelingenleer. (nl) Paul Joseph Cohen (Long Branch, 2 aprile 1934 – Palo Alto, 23 marzo 2007) è stato un matematico statunitense, noto per i suoi contributi in logica e analisi matematica. (it) ポール・コーエン (Paul Joseph Cohen、1934年4月2日 - 2007年3月23日）は、アメリカ合衆国の数学者。スタンフォード大学数学科教授。専門は集合論、調和解析、偏微分方程式。 (ja) Paul Joseph Cohen (ur. 2 kwietnia 1934 w Long Branch, zm. 23 marca 2007 w Stanford) – amerykański matematyk, od 1964 roku profesor Uniwersytetu Stanforda. Jego zasługą są przełomowe dla nauki i filozofii osiągnięcia w zakresie podstaw matematyki, między innymi udowodnił niezależność aksjomatu wyboru i hipotezy continuum od aksjomatów Zermela-Fraenkla; w 1966 roku za to osiągnięcie otrzymał medal Fieldsa. (pl) Пол Джо́зеф Ко́эн (англ. Paul Joseph Cohen; 1934—2007) — американский математик. Профессор Стэнфордского университета, член Национальной академии наук США (1967) и Американского философского общества. Удостоен Национальной научной медали США (1967). (ru) Paul Joseph Cohen (Long Branch, 2 de abril de 1934 — Stanford, 23 de março de 2007) foi um matemático estadunidense. É mais conhecido pela sua prova da independência entre a hipótese do continuum e o axioma da escolha da teoria de conjuntos de Zermelo–Fraenkel, a forma de axioma mais aceita da teoria dos conjuntos. Esta demonstração valeu-lhe a Medalha Fields, em 1966. (pt) Пол Джозеф Коен (2 квітня 1934 — 23 березня 2007) — американський математик найвідоміший за його доказ незалежності континуум-гіпотези і аксіоми вибору від Цермело-Френкеля теорії множин, широко визнаної аксіоматизації теорії множин. (uk) 保罗·约瑟夫·寇恩（英語：Paul Joseph Cohen，1934年4月2日－2007年3月23日) ，美国数学家，他证明策梅洛-弗兰克尔公理系统加上选择公理 (ZFC) 不能反驳连续统假设 (CH) 的否命题，而ZF不能反驳选择公理 (AC) 的否命题。这一划时代的工作与哥德尔在1930年代的工作一起，证明了CH和AC分别独立于ZFC和ZF。寇恩在证明中创造了力迫法，如今力迫法已经成为公理集合论的一项基本技术。寇恩凭借连续统假设的独立性证明于1966年获得菲尔兹奖章。 (zh) |
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| rdfs:comment | Paul Joseph Cohen (2 d'abril de 1934 – 23 de març de 2007) va ser un matemàtic nord-americà. (ca) Paul Joseph Cohen (2. dubna 1934 , New Jersey, USA – 23. března 2007 Palo Alto, Kalifornie) byl americký matematik, který dokázal nezávislosti hypotézy kontinua a axiomu výběru ze Zermelovy-Fraenkelovy teorie množin metodou zvanou forcing. (cs) بول جوزيف كوهين (بالإنجليزية: Paul Joseph Cohen) هو عالم رياضيات أمريكي. (ar) Paul Joseph Cohen (* 2. April 1934 in Long Branch, New Jersey, USA; † 23. März 2007 in Stanford (Kalifornien)) war ein US-amerikanischer Logiker und Mathematiker. Er war Träger der Fields-Medaille. (de) Paul Joseph Cohen (2 de abril de 1934 – 23 de marzo de 2007) fue un matemático estadounidense, que aportó un nuevo punto de vista sobre la hipótesis del continuo apoyándose en la teoría de conjuntos. (es) Paul Joseph Cohen (Long Branch, New Jersey, 1934ko apirilaren 2a- Stanford, Kalifornia, 2007ko martxoaren 23a) estatubatuar matematikaria izan zen. (eu) Paul Joseph Cohen (1934-2007) est un mathématicien américain. Il est connu principalement pour avoir démontré en 1963 que l'hypothèse du continu et l'axiome du choix étaient indépendants des axiomes de la théorie des ensembles de Zermelo-Fraenkel, travaux qui lui ont valu la médaille Fields en 1966. Il a utilisé pour cela une méthode originale, le forcing, technique qu'il avait lui-même inventée. (fr) Paul Joseph Cohen (April 2, 1934 – March 23, 2007) was an American mathematician. He is best known for his proofs that the continuum hypothesis and the axiom of choice are independent from Zermelo–Fraenkel set theory, for which he was awarded a Fields Medal. (en) 폴 조지프 코언(영어: Paul Joseph Cohen, [pɔːl ˈd͡ʒoʊzəf ˈkoʊən], 1934년 4월 2일 ~ 2007년 3월 23일)은 미국의 수학자이다. 집합론의 미제인 연속체 가설을 표준적인 수학 공리로는 해결할 수 없음을 증명하였다. (ko) Paul Joseph Cohen (Long Branch, 2 aprile 1934 – Palo Alto, 23 marzo 2007) è stato un matematico statunitense, noto per i suoi contributi in logica e analisi matematica. (it) ポール・コーエン (Paul Joseph Cohen、1934年4月2日 - 2007年3月23日）は、アメリカ合衆国の数学者。スタンフォード大学数学科教授。専門は集合論、調和解析、偏微分方程式。 (ja) Paul Joseph Cohen (ur. 2 kwietnia 1934 w Long Branch, zm. 23 marca 2007 w Stanford) – amerykański matematyk, od 1964 roku profesor Uniwersytetu Stanforda. Jego zasługą są przełomowe dla nauki i filozofii osiągnięcia w zakresie podstaw matematyki, między innymi udowodnił niezależność aksjomatu wyboru i hipotezy continuum od aksjomatów Zermela-Fraenkla; w 1966 roku za to osiągnięcie otrzymał medal Fieldsa. (pl) Пол Джо́зеф Ко́эн (англ. Paul Joseph Cohen; 1934—2007) — американский математик. Профессор Стэнфордского университета, член Национальной академии наук США (1967) и Американского философского общества. Удостоен Национальной научной медали США (1967). (ru) Paul Joseph Cohen (Long Branch, 2 de abril de 1934 — Stanford, 23 de março de 2007) foi um matemático estadunidense. É mais conhecido pela sua prova da independência entre a hipótese do continuum e o axioma da escolha da teoria de conjuntos de Zermelo–Fraenkel, a forma de axioma mais aceita da teoria dos conjuntos. Esta demonstração valeu-lhe a Medalha Fields, em 1966. (pt) Пол Джозеф Коен (2 квітня 1934 — 23 березня 2007) — американський математик найвідоміший за його доказ незалежності континуум-гіпотези і аксіоми вибору від Цермело-Френкеля теорії множин, широко визнаної аксіоматизації теорії множин. (uk) 保罗·约瑟夫·寇恩（英語：Paul Joseph Cohen，1934年4月2日－2007年3月23日) ，美国数学家，他证明策梅洛-弗兰克尔公理系统加上选择公理 (ZFC) 不能反驳连续统假设 (CH) 的否命题，而ZF不能反驳选择公理 (AC) 的否命题。这一划时代的工作与哥德尔在1930年代的工作一起，证明了CH和AC分别独立于ZFC和ZF。寇恩在证明中创造了力迫法，如今力迫法已经成为公理集合论的一项基本技术。寇恩凭借连续统假设的独立性证明于1966年获得菲尔兹奖章。 (zh) Paul Joseph Cohen (Long Branch, 2 april 1934 – 23 maart 2007) was een Amerikaans wiskundige, bekend om zijn werk in de verzamelingenleer. Cohen bezocht tot 1950 de Stuyvesant High School in New York, daarna tot 1953 Brooklyn College in New York. Vervolgens studeerde hij aan de Universiteit van Chicago, waar hij in 1958 onder begeleiding van Antoni Zygmund promoveerde. Van 1958 tot 1959 werkte hij op het Massachusetts Institute of Technology, van 1959 tot 1961 op het Institute for Advanced Study te Princeton. Vanaf 1961 werkte hij aan de Stanford University in Californië, waar hij in 1964 hoogleraar werd. (nl) |
| rdfs:label | Paul Cohen (en) بول كوهين (عالم رياضيات) (ar) Paul Joseph Cohen (ca) Paul Cohen (cs) Paul Cohen (Mathematiker) (de) Paul Cohen (es) Paul Cohen (eu) Paul Cohen (fr) Paul Cohen (matematico) (it) 폴 코언 (ko) ポール・コーエン (数学者) (ja) Paul Cohen (wiskundige) (nl) Paul Cohen (pl) Paul Cohen (matemático) (pt) Коэн, Пол Джозеф (ru) Пол Джозеф Коен (uk) 保罗·寇恩 (zh) |
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