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October 6, 1918|
"Waldenburg, "German Empire
|Died||April 11, 1974
"New Haven, "Connecticut
|Alma mater||"Hebrew University, "University of London|
|Known for||"Non-standard analysis|
|Institutions||"University of California, Los Angeles, "Yale University, "University of Toronto|
|"Doctoral advisor||"Paul Dienes|
|Doctoral students||"Azriel Lévy
"A. H. Lightstone
"Carol S. Wood
|Influences||"Gottfried Leibniz, "Abraham Fraenkel|
Abraham Robinson (born Robinsohn; October 6, 1918 – April 11, 1974) was a "mathematician who is most widely known for development of "non-standard analysis, a mathematically rigorous system whereby "infinitesimal and "infinite numbers were reincorporated into modern mathematics. Nearly half of Robinson's papers were in "applied mathematics rather than in "pure mathematics.
He was born to a "Jewish family with strong "Zionist beliefs, in "Waldenburg, "Germany, which is now "Wałbrzych, in "Poland. In 1933, he "emigrated to "British Mandate of Palestine, where he earned a first degree from the "Hebrew University. Robinson was in "France when the "Nazis invaded during "World War II, and escaped by train and on foot, being alternately questioned by French soldiers suspicious of his German passport and asked by them to share his map, which was more detailed than theirs. While in "London, he joined the "Free French Air Force and contributed to the war effort by teaching himself "aerodynamics and becoming an expert on the "airfoils used in the wings of fighter planes.
He became known for his approach of using the methods of "mathematical logic to attack problems in "analysis and "abstract algebra. He "introduced many of the fundamental notions of "model theory". Using these methods, he found a way of using "formal logic to show that there are self-consistent nonstandard models of the "real number system that include infinite and infinitesimal numbers. Others, such as "Wilhelmus Luxemburg, showed that the same results could be achieved using "ultrafilters, which made Robinson's work more accessible to mathematicians who lacked training in formal logic. Robinson's book Non-standard Analysis was published in 1966. Robinson was strongly interested in the history and philosophy of mathematics, and often remarked that he wanted to get inside the head of "Leibniz, the first mathematician to attempt to articulate clearly the concept of "infinitesimal numbers.
While at UCLA his colleagues remember him as working hard to accommodate "PhD students of all levels of ability by finding them projects of the appropriate difficulty. He was courted by "Yale, and after some initial reluctance, he moved there in 1967. In the Spring of 1973 he was a member of the Institute for Advanced Research. He died of "pancreatic cancer in 1974.