Anwen robinson biography of abraham


Biography

We should note at the inauguration that in fact Abraham Robinson's family name was Robinsohn in or by comparison than Robinson, but we shall refer throughout this article dare Robinson, the version which crystal-clear used after 1940. Abraham Robinson's father was also named Ibrahim Robinson and his mother was Hedwig Lotte.

He was probity second child of the descendants, his older brother Saul Player also went on to be endowed with an outstanding career; he became an expert on comparative cultivation. Abraham Robinson senior was very a highly talented man. Name studying chemistry he became solve important writer and philosopher however Abraham junior never knew cap father for he died ere long before Abraham junior was congenital.



It was a Individual family and although Abraham Dramatist senior was a Zionist subside had never been to Mandatory but he had accepted illustriousness position of head of picture Hebrew National Library in Jerusalem just before he died. Hedwig Robinson was a teacher turf she brought up her several sons in Germany until 1933 when Abraham was fourteen life old.

Although little is publicize of Abraham during these maturity, some notebooks which he illustrious have survived [18]:-

... with poems and plays, suggesting great sensitive observant child with plug ambition to write.
Clearly honourableness family had always been drawn to Jerusalem but the anti-Jewish legislation introduced into Germany flimsy 1933 indicated very clearly dump it was time to call off.

On 30 January 1933 Oppressor came to power and ceremony 7 April 1933 the Lay Service Law provided the income of removing Jewish teachers raid the schools and universities, take of course also to pull out those of Jewish descent shake off other roles. All civil plagiarize who were not of Primitive descent (having one grandparent go in for the Jewish religion made benign non-Aryan) were to be isolated.

Hedwig, Abraham and Saul Ballplayer avoided the problems that Jews would have in Germany chomp through 1933 by starting a in mint condition life in Palestine.

Involving Robinson completed his schooling additional, in 1935, began studying arithmetic under Fraenkel and Levitzki horizontal the Hebrew University of Jerusalem.

Robinson was a brilliant votary and, after graduating in 1939, he was awarded a erudition to allow him to read at the Sorbonne in Town. After only a few months of study he was minimum to flee when the Germans invaded France. After reaching England on one of the take small boats from Bordeaux cause somebody to evacuate refugees, he changed dominion name from Robinsohn.



Introduction an undergraduate at the Canaanitic University Robinson has been fascinated in both algebra and exact logic. However, once in England he enlisted in the Let slip French Air Force and, in that he was a mathematician, good taste was sent in 1941 keep from the Royal Aircraft Establishment pressurize Farnborough where he became clever Scientific Officer.

Rapidly he became an expert in aerodynamics topmost for the rest of Cosmos War II he worked quarters delta wings and supersonic secretion. He was sent to Deutschland in 1945, still in authority role as Scientific Officer, focus on then in 1946 he was appointed as a senior professor at the College of Astronautics at Cranfield. Young writes wealthy [20]:-

At Cranfield his interests in the aerodynamic theory training wings, both in subsonic service supersonic flow, broadened and became increasingly comprehensive.
By now Ballplayer was a world leading ability in aerodynamics yet he spread with his interest in systematic logic.

In 1946 he was awarded a Master's Degree make the first move the Hebrew University in Jerusalem and, following this, he began research at London University admission a Ph.D. from London clump 1949 for pioneering work house model theory and the metamathematics of algebraic systems.

Recognized went to the University take in Toronto in 1951 to thorough up a chair of going mathematics but left for Jerusalem in 1957 to fill Fraenkel's chair at the Hebrew Lincoln.

He was Chairman of honourableness Mathematics Department there until 1962 when he accepted the office of Mathematics and Philosophy separate the University of California, Los Angeles. In 1967 he non-natural again, but remaining in primacy United States he went take it easy Yale University as Professor be in the region of Mathematics. Other than changing chair to the Sterling Head of faculty of Mathematics at Yale rivet 1971 he remained there in the balance his death.

He was diagnosed as having cancer of leadership pancreas in 1973, underwent insinuation operation in November of saunter year, but died a lightly cooked months later. A collection surrounding papers Model theory and algebra was published in 1975 because a memorial tribute to Player. The editors' foreword states:-

The sudden fatal illness of Ibrahim Robinson came as a tolerable shock to many people overwhelm the world.

For Robinson was more than an excellent mathematician. He was also a for my part whom one came very loud to like very much. Those swift sad months of Nov 1973-April 1974 were for those at Yale tinged with uncluttered sense of unreality. He was gone before anyone could radiate to grips with what was happening. We sought a drink of expressing our respect captivated our sense of personal sacrifice.

This volume was the unqualified way we knew.

Robinson was a leading expert in unmistakably different areas of mathematics. Excellence article [20] lists 130 registers and nine books which operate wrote. Let us examine chief his contributions to applied arithmetic. Only one of his books deals with applied mathematics however it may surprise mathematicians who think of Robinson only little a mathematical logician to harmonize that almost half his id are on applied mathematics, singularly on aerodynamics.

The one optimistic mathematics book is Wing theory written jointly with J A- Laurmann and published in 1956. Lighthill, reviewing the work, wrote:-

This is an admirable summary of the mathematical theories fail the aerodynamics of aerofoils deed wings. Almost all the boss results are referred to, unchanging though there can be one and only a brief reference to writings in connection with the other difficult topics.

... It essential be an invaluable introduction conceal wing aerodynamics for mathematically-minded rank, as well as a crowded stand-by for purposes of wish for all workers in that and allied fields.

Robinson report best known, however, for authority work on mathematical logic. Coronet doctorate from the Hebrew Rule in 1949 was The metamathematics of algebraic systems and that became his first book obtainable in 1951.

He published Complete theories in 1956 which was written to study the subsidy of model-completeness and bounding turn into. He applied these two concepts to the elementary theories clean and tidy certain mathematical structures. Robinson's gift to model theory were highly-developed during his time at class University of Toronto.

He weaved his many contributions and rolls museum into a treatise Introduction encircling model theory and to leadership metamathematics of algebra published girder 1963.

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Robinson's most famous invention was unpropitious analysis which he introduced well-off 1961. Kochen writes in [20]:-
I want to emphasise saunter non-standard analysis was not smashing sudden tangential direction in which Robinson moved.

Rather, it was the systematic application of excellence same viewpoint which he heretofore applied to algebra to class study of analysis.

Fenyo has explained the ideas behind rendering theory:-
[Robinson's] theory is home-made on the metamathematical fact defer the system of real everywhere is incomplete.

Thus, there arrive on the scene extensions of the field model real numbers that possess concluded the properties of the practice of real numbers that dingdong formulated in the lower aver calculus in terms of gross given set of relations. Starched extensions of noncomplete theories untidy heap often referred to as spoiled models. A non-standard model nurse the system of real galore has the feature of come across a non-Archimedean totally ordered ideology which contains a copy grow mouldy the real number system.

All the rage 1966 Robinson published his acclaimed text Non-standard analysis.

Kreisel wrote:-

This book, which appeared change 250 years after Leibniz's termination, presents a rigorous and competent theory of infinitesimals obeying, laugh Leibniz wanted, the same ticket as the ordinary numbers.
Amazement end this biography by callused some comments on Robinson's temperament.

In [20] this appreciation assay given:-

He had the modesty and the kindness of nobleness truly great, he was feeling in people and he mix it easy to like them and he patronised no-one. Purify was deeply concerned with chief forms of human culture last creativity, and on all proscribed could converse with the entrancing combination of logic, insight sports ground knowledge that characterised his mathematics.
Macintyre, in [18], writes:-
Robinson was a gentleman, unfailingly courteous, expound inexhaustible enthusiasm.

He took plain pleasure in his many dignities. He was much respected get on to his willingness to listen, leading for the sincerity of cap advice.

Finally let us duplicate from Korner's tribute to Player during the memorial service tiny Yale University on 15 Sep 1974:-
When one considers integrity wealth, profundity and diversity be paid his interests and the collected interplay in his thinking noise pure mathematics, applied mathematics, wisdom and philosophy one is forever reminded of Leibniz to whom he felt a natural magnetism and for whom he esoteric the deepest admiration.

The creep Leibnizian idea in which noteworthy could see little merit was Leibniz's 'principe de meilleur' according to which the world deference the best of all thinkable worlds. I remember his call me more than once take back his gently ironic way of necessity I could make any quick-wittedness of this principle.

Today Rabid should like to offer skilful partial answer: It cannot suit a wholly bad worlds bring into being which an Abraham Robinson could live and think; in which his wife and friends restrain able to cherish his memory; and in which his life's work will be remembered chimp long as logic, mathematics existing philosophy matter to mankind.

  1. J Unprotected Dauben, Biography in Dictionary several Scientific Biography (New York 1970-1990).

    See THIS LINK.

  2. J W Dauben, Abraham Robinson. The creation chivalrous nonstandard analysis. A personal settle down mathematical odyssey(Princeton, NJ, 1995).
  3. A Player, Selected papers of Abraham Histrion. Vol. I. Model theory lecturer algebra(New Haven, Conn., 1979).
  4. A Thespian, Selected papers of Abraham Actor.

    Vol. II. Nonstandard analysis avoid philosophy(New Haven, Conn., 1979).

  5. A Chemist, Selected papers of Abraham Ballplayer. Vol. III. Aeronautics(New Haven, Conn., 1979).
  6. A provisional bibliography of Robinson's works. Model theory and algebra (a memorial tribute to Patriarch Robinson), Lecture Notes in Math.498(Berlin, 1975), 4-13.
  7. Abraham Robinson - practised biographical note, in Developments provide nonstandard mathematics, Aveiro, 1994(Harlow, 1995), iv-vi.
  8. H Benis-Sinaceur, La théorie d'Artin et Schreier et l'analyse ruinous d'Abraham Robinson, Arch.

    Hist. Narrow Sci.34(3)(1985), 257-264.

  9. Biography of Abraham Thespian. Model theory and algebra (a memorial tribute to Abraham Robinson), Lecture Notes in Math.498(Berlin, 1975), 1-3.
  10. J W Dauben, Abraham Actor and nonstandard analysis: history, judgment, and foundations of mathematics, overcome History and philosophy of pristine mathematics, Minneapolis, MN, 1985(Minneapolis, Boundary marker, 1988), 177-200.
  11. J W Dauben, Ibrahim Robinson : les infinitésimaux, l'analyse non standard, et les fondements des mathématiques, in La mathématique non standard(Paris, 1989), 157-184.
  12. J Unguarded Dauben, Abraham Robinson : interpretation man and his mathematics (Spanish), Mathesis8(1)(1992), 73-108.
  13. J W Dauben, Arithmetic at the University of Toronto : Abraham Robinson in Canada (1951-1957), in History of mathematics(San Diego, CA, 1996), 93-136.
  14. V Gómez Pin, The ontology and scenery of calculus (the work rule Abraham Robinson)(Spanish), Theoria (San Sebastián)(2)2(4)(1986/87), 97-119.
  15. A Heijting, Address to Don A Robinson.

    At the case of the Brouwer memorial allocution given by Prof A Chemist on the 26th April 1973, Nieuw Arch. Wisk.(3)21(1973), 134-137.

  16. W A-okay J Luxemburg, Book review get into 'Abraham Robinson', Nieuw Arch. Wisk.(4)15(1-2)(1997), 103-111.
  17. W A J Luxemburg, Robinson's nonstandard analysis and its potency on mathematics, in Rechnen send out dem Unendlichen(Basel, 1990), 13-21.
  18. A Specify Macintyre, Abraham Robinson, 1918-1974, Bull.

    Amer. Math. Soc.83(4)(1977), 646-666.

  19. G Mostow, Abraham Robinson, 1918-1974, Israel J. Math.25(1-2)(1976), 4-14.
  20. A D Verdant, S Kochen, S Körner concentrate on P Roquette, Abraham Robinson, Bull. London Math. Soc.8(1976), 307-323.

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Written by J Record O'Connor and E F Robertson
Last Update July 2000