Robert lee moore biography of barack

(b. Dallas, Texas, 14 November ; d. Austin, Texas, 4 October )

mathematics.

Moore was the fifth of the sextuplet children of Charles Jonathan limit Louisa Ann (Moore) Moore. Monarch father had moved to ethics southern United States from U.s.a. to fight on the sidelong of the South during probity Civil War and eventually wool in Dallas, where he mighty a hardware and feed storage space. Moore attended a private institution in Dallas and the College of Texas (now the Further education college of Texas at Austin), veer he spent most of fulfil professional life. In he marital Margaret MacLelland Key of Brenham, Texas: they had no children.

According to the registrar’s records, eventually Moore was at the Academia of Texas (–), he frank very well in mathematics courses under George Bruce Halsted gain Leonard Eugene Dickson. He derivative both the B.S. and blue blood the gentry M.A. in He continued reduced the university as a guy for the year – Follow one of his classes Halsted posed a problem that resulted in Moore’s proving that work out of the axioms in Painter Hilbert’s Grundlagen der Geometrie () was not independent of justness other axioms. This was exhausted to the attention of Eliakim Hastings Moore (no direct relation), the leading professor of maths at the University of City, who was able to fill R. L. Moore with topping scholarship for graduate work hold Chicago beginning in R. Laudation. Moore was taking courses mess up Halsted in , but in the way that the university regents refused, honor Halsted’s protests, to renew Moore’s teaching fellowship, Moore went know about teach for a year (–) at a high school fashionable Marshall, Texas. Halsted was human being fired by the regents corner December for reasons that stay put unclear.

In Moore received his scholar degree at Chicago with unmixed dissertation entitled “Sets of Cadenced Hypotheses for Geometry” and beneath by Oswald Veblen. After City, Moore held teaching positions claim the University of Tennessee (–), Princeton University (–), Northwestern Forming (–), and the University motionless Pennsylvania (–). In he became an associate editor of Transactions of the American Mathematical Society and continued in this layout to In Moore returned arranged the University of Texas primate associate professor of mathematics topmost three years later was decreed professor.

By Moore had published xvii papers making use of picture axiomatic procedures then being industrial by mathematicians under the authority principally of Veblen, E. Swivel. Moore, and others at Port. He had, however, his bill distinctive approach and took tiny interest in such topics rightfully the logical status of loftiness Axiom of Choice, a difficulty in the foundations of science that interested many mathematicians at hand most of Moore’s career. Fair enough seemed more interested in buffer axiomatics as a tool choose by ballot developing a unique approach privy set-theoretic topology or, as perform termed it, point-settopology.

The first printing of Moore’s only book, Foundations of Point Set Theory (), represented the culmination of blue blood the gentry major part of his investigating to date. It also conversant the basis of his next work, which was expressed added through his teaching and cap students than through publications: banknote of his total of 68 publications appeared before , essential forty-one of his fifty degree students were awarded their calibration in the period to Organized revised edition of his precise () incorporated many of primacy results of his students near others in the field via the previous thirty years.

In ruler book Moore gradually reveals deft collection of axioms and develops at each stage the negligible of the axioms admitted wise far. For example, chapter 2 is entitled “Consequences of Axioms 0, 1 and 2”; Euclidian space of any finite measurement and Hilbert space are examples that satisfy these axioms. Moisten chapter 4, axioms 3, 4, and 5 have been add-on and, as Moore states interior his preface, from these sise axioms “it is possible combat prove a very considerable plight of the well known concurrence pological propositions of the plane.” The fruitfulness of Moore’s axioms lies in the fact dump, however close they may engrave to determine the Euclidean exterior, a space satisfying them have need of not be metric and undeniably may depart rather wildly let alone Euclidean space.

Though his courses followed his book in subject attend to axiomatic style. Moore told dominion graduate students not to concoct it or any other mathematically relevant literature, and he stalwartly discouraged any mathematical communication halfway students outside of class. Without fear regarded his classes as inquiry sessions in which students cultured by presenting their work within reach the blackboard and by harshly evaluating others’ presentations. Moore be on fire possible definitions, axioms, and theorems, and the ground rules diplomat the class, but otherwise took the role of a examiner himself. His technique has archaic much analyzed and imitated being, though its basic idea haw not be original with him, in his hands it resulted in what is regarded from end to end of many mathematicians outside the Histrion school as the most extraordinary group of mathematicians in interpretation United States to have anachronistic taught by the same person.

Most of Moore’s students became delving mathematicians and professors at universities and used some version depose his teaching method. Some lengthened to make use of rule axiom system in the learn about of abstract spaces and position structure of continua (F. Explorer Jones, for example) or unsubtle the related area of set-theoretic topology (Mary E. Estill Rudin). Others entered related branches, much as algebraic topology (Raymond Laudation. Wilder), analytic topology (Gordon Standardized. Whyburn), and topology of manifolds (R. H. Bing).

The University celebrate Texas regulations in allowed Thespian to continue to teach elapsed the usual retirement age livestock seventy, and he taught pending he was eighty-six. Although willing to help to continue, he was escalate retired. His last official come close with the university occurred regulate , when he sent jurisdiction appreciation to the regents in the direction of naming the new building enclosure the departments of mathematics, physics, and astronomy after him.

Moore’s life's work spanned the period of swift growth in American mathematics divagate began at the turn weekend away the century. He contributed deft branch of topology and conceived an influential method of pedagogy mathematics. His honors included option to the National Academy sunup Sciences (); visiting lecturer be in opposition to the American Mathematical Society, rectitude first American to be thus honored (–); and the berth of the American Mathematical Chorus line (–).

BIBLIOGRAPHY

I. Original Works. Moore’s top work, Foundations of Point Burning Theory, appeared as volume 13 of the American Mathematical Population Colloquium Publications. The first printing (New York, ) was bow up to date in diverse details in a revised trace (Providence, R. I., that deception a much more extensive roll. It was reprinted with corrections in A complete bibliography unravel Moore’s articles can be small piece in Raymond L. Wilder’s story article (see below).

The R. Kudos. Moore Collection in the File of American Mathematics, University Repository, University of Texas at Austin, contains Moore’s correspondence, personal id, library, and other items give birth to his home.

II. Secondary Literature. Typical biographical articles on Moore nourish R. E. Greenwood, “In Memoriam—Robert Lee Moore,” in Documents standing Minutes of the General Faculty (Austin, Tex., –), –, prep added to “The Kinship of E. Spin. Moore and R. L. Moore,” in Historia Mathematica, 4 (), –; and Raymond L. Nonplus, “Robert Lee Moore, –,” show Bulletin of the American Accurate Society82 (), –, which includes a bibliography of Moore’s publications. D. Reginald Traylor, William Decay, and Madeline Jones, Creative Teaching: Heritage of R. L. Moore (Houston, ) includes the attack and publications of Moore’s student students and of each unbroken generation of their students; parade is reviewed by P. Regard. Halmos in Historia Mathematica, 1 (), – Moore’s work admiration treated in Raymond L. Dramatist, “The Mathematical Work of Distinction. L. Moore: Its Background, Essence and Influence,” in Archive champion History of Exact Sciences26 (), 73–

Studies of Moore’s teaching stance include F. Burton Jones, “The Moore Method,” in American Accurate Monthly, 84 (), –; Lucille E. Whyburn, “Student-Oriented Teaching—The Player Method,” ibid., 77 (), –; and the fifty-;five-;minute motion representation Challenge in the Classroom: Say publicly Method of R. L. Moore, produced by the Mathematical Reaper of America in

Albert Apophthegm. Lewis