Abraham Robinson
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Abraham Robinson (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 incorporated into mathematics.
He was born to a Jewish family with strong Zionist beliefs, in Waldenburg, Germany, which is now Walbrzych, in Poland. Robinson was in France when the Nazis invaded, 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. 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.
After the war, Robinson worked in London, Toronto, and Jerusalem, but ended up at UCLA in 1962. He was becoming well known for his approach of using the methods of mathematical logic to attack problems in analysis and abstract algebra. In particular he "introduced many of the fundamental notions of model theory"[1]. 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, which include infinite and infinitesimal numbers. Others, such as Wim 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 1965. 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, but he was also unsatisfied with the quality of the graduate students at UCLA. He was courted by Yale, and after some initial reluctance, he moved there in 1967. He died of pancreatic cancer in 1974.
[edit] References
- J. W. Dauben, Abraham Robinson: The Creation of Nonstandard Analysis, A Personal and Mathematical Odyssey, Princeton, NJ: Princeton University Press, 1998
- ^ Hodges, W: "A Shorter Model Theory", page 182. CUP, 1997
[edit] External links
- O'Connor, John J. & Robertson, Edmund F., “Abraham Robinson”, MacTutor History of Mathematics archive
