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Jack Howard Silver (* 23. April 1942 in Mi … Jack Howard Silver (* 23. April 1942 in Missoula, Montana; † 22. Dezember 2016) war ein US-amerikanischer Mathematiker, der sich mit Mengenlehre beschäftigte. Silver wurde 1966 an der University of California, Berkeley bei Robert Vaught promoviert (Some applications of model theory in set theory). Er war Professor an der University of California, Berkeley, wo er zuletzt Professor Emeritus war. Silver gelangen wesentliche Fortschritte im Problem singulärer Kardinalzahlen. Er löste das Problem für Kardinalzahlen mit Konfinalität größer als . Insbesondere bewies er, dass aus den Axiomen von ZFC folgt: Gilt die verallgemeinerte Kontinuumshypothese für jede Kardinalzahl kleiner als , einer singulären Kardinalzahl mit überabzählbarer Konfinalität (größer als ), so gilt sie auch für selbst (Satz von Silver). Das heißt, gilt für alle unendlichen Kardinalzahlen , dann gilt . Der Satz war damals überraschend, denn fast alle Mengentheoretiker waren überzeugt, dass das Gegenteil mit ZFC konsistent wäre (auch Silver selbst, wie er in seinem Vortrag auf dem ICM in Vancouver feststellte). 1970 erhielt er ein Forschungsstipendium der Alfred P. Sloan Foundation (Sloan Research Fellowship). 1974 war er Invited Speaker auf dem Internationalen Mathematikerkongress (ICM) in Vancouver (On the singular cardinals problem). Zu seinen Doktoranden zählen William Mitchell, Karel Prikry und Randall Dougherty.chell, Karel Prikry und Randall Dougherty.
, Jack Howard Silver (23 April 1942 – 22 Dec … Jack Howard Silver (23 April 1942 – 22 December 2016) was a set theorist and logician at the University of California, Berkeley. Born in Montana, he earned his Ph.D. in Mathematics at Berkeley in 1966 under Robert Vaught before taking a position at the same institution the following year. He held an Alfred P. Sloan Research Fellowship from 1970 to 1972. Silver made several contributions to set theory in the areas of large cardinals and the constructible universe L.ardinals and the constructible universe L.
, جاك سيلفر (بالإنجليزية: Jack Silver) هو رياضياتي وفيلسوف أمريكي، ولد في 23 أبريل 1942 في ميسولا في الولايات المتحدة، وتوفي في 22 ديسمبر 2016.
, Jack Howard Silver (Missoula, Montana, 23 … Jack Howard Silver (Missoula, Montana, 23 de abril de 1942 – 22 de dezembro de 2016) foi um matemático estadunidense, especialista em teoria dos conjuntos e lógica, professor da Universidade da Califórnia em Berkeley. Obteve um Ph.D. em matemática na Universidade da Califórnia em Berkeley em 1966, orientado por Robert Lawson Vaught, começando a trabalhar na mesma instituição no ano seguinte. Recebeu uma de 1970 a 1972. Silver fez diversas constribuições à teoria dos conjuntos nas áreas de grandes cardeais e universo construível L.grandes cardeais e universo construível L.
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جاك سيلفر (بالإنجليزية: Jack Silver) هو رياضياتي وفيلسوف أمريكي، ولد في 23 أبريل 1942 في ميسولا في الولايات المتحدة، وتوفي في 22 ديسمبر 2016.
, Jack Howard Silver (* 23. April 1942 in Mi … Jack Howard Silver (* 23. April 1942 in Missoula, Montana; † 22. Dezember 2016) war ein US-amerikanischer Mathematiker, der sich mit Mengenlehre beschäftigte. Silver wurde 1966 an der University of California, Berkeley bei Robert Vaught promoviert (Some applications of model theory in set theory). Er war Professor an der University of California, Berkeley, wo er zuletzt Professor Emeritus war. Zu seinen Doktoranden zählen William Mitchell, Karel Prikry und Randall Dougherty.chell, Karel Prikry und Randall Dougherty.
, Jack Howard Silver (23 April 1942 – 22 Dec … Jack Howard Silver (23 April 1942 – 22 December 2016) was a set theorist and logician at the University of California, Berkeley. Born in Montana, he earned his Ph.D. in Mathematics at Berkeley in 1966 under Robert Vaught before taking a position at the same institution the following year. He held an Alfred P. Sloan Research Fellowship from 1970 to 1972. Silver made several contributions to set theory in the areas of large cardinals and the constructible universe L.ardinals and the constructible universe L.
, Jack Howard Silver (Missoula, Montana, 23 … Jack Howard Silver (Missoula, Montana, 23 de abril de 1942 – 22 de dezembro de 2016) foi um matemático estadunidense, especialista em teoria dos conjuntos e lógica, professor da Universidade da Califórnia em Berkeley. Obteve um Ph.D. em matemática na Universidade da Califórnia em Berkeley em 1966, orientado por Robert Lawson Vaught, começando a trabalhar na mesma instituição no ano seguinte. Recebeu uma de 1970 a 1972. Silver fez diversas constribuições à teoria dos conjuntos nas áreas de grandes cardeais e universo construível L.grandes cardeais e universo construível L.
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جاك سيلفر
, Jack Silver
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