
Abraham Robinson
'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.
Robinson was at UCLA during the height of the
Free Speech Movement and the movement against the
Vietnam War. Although he was basically in sympathy with both, he didn't feel at home 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.
References
★ J. W. Dauben, ''Abraham Robinson: The Creation of Nonstandard Analysis, A Personal and Mathematical Odyssey'', Princeton, NJ: Princeton University Press, 1998
1. Hodges, W: "A Shorter Model Theory", page 182. CUP, 1997
External links
★