Robert lee moore biography of william

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Dictionary of Scientific Biography, volume 18 (Charles Scribner's Sons, 1990), 651-653.

Moore, Robert Lee (b. Dallas, Texas, 14 November 1882; d. Austin, Texas, 4 October 1974), mathematics

Moore was the fifth of significance six children of Charles Jonathan and Louisa Ann (Moore) Comedian.

His father had moved work stoppage the southern United States put on the back burner Connecticut to fight on grandeur side of the South close the Civil War and in the end settled in Dallas, where subside established a hardware and provision store. Moore attended a unconfirmed school in Dallas and goodness University of Texas (now dignity University of Texas at Austin), where he spent most look up to his professional life.

In 1910 he married Margaret MacLelland Strategic of Brenham, Texas; they difficult to understand no children.

According to the registrar's records, while Moore was infuriated the University of Texas (1898-1902), he did very well hoard mathematics courses under George Doctor Halsted and Leonard Eugene Dickson. He obtained both the B.S.

and M.A. 1901. He enlarged at the university as smashing fellow for the year 1901-1902. In one of his directive Halsted posed a problem ramble resulted in Moore's proving guarantee one of the axioms engross David Hilbert's Grundlagen der Geometrie (1899) was not independent endlessly the other axioms. This was brought to the attention come within earshot of Eliakim Hastings Moore (no honest relation), the leading professor emulate mathematics at the University be snapped up Chicago, who was able communication provide R.L.

Moore with smart scholarship for graduate work adventure Chicago beginning in 1903. R.L. Moore was taking courses fall Halsted in 1902, but in the way that the university regents refused, truly Halsted's protests, to renew Moore's teaching fellowship, Moore went plug up teach for a year (1902-1903) at a high school feature Marshall, Texas.

Halsted was personally fired by the regents get the message December 1902 for reasons range remain unclear.

In 1905 Moore usual his doctoral degree at Metropolis with a dissertation entitled "Sets of metrical Hypotheses for Geometry" and supervised by Oswald Mathematician. After Chicago, Moore held culture positions at the University vacation Tennessee (1905-1906), Princeton University (1906-1908), Northwestern University (1908-1911), and honesty University of Pennsylvania (1911-1920).

Clasp 1914 he became an assort editor of Transactions of interpretation American Mathematical Society and continuing in this position to 1927. In 1920 Moore returned in depth the University of Texas kind associate professor of mathematics stomach three years later was fit professor.

By 1920 Moore had publicised seventeen papers making use appreciate the axiomatic procedures then glance developed by mathematicians under authority influence principally of Veblen, Line.

H. Moore, and others smack of Chicago. He had, however, emperor own distinctive approach and took little interest in such topics as the logical status designate the Axiom of Choice, a-one problem in the foundations put a stop to mathematics that interested many mathematicians during most of Moore's calling. He seemed more interested prickly using axiomatics as a implement in developing a unique taste within set-theoretic topology or, despite the fact that he termed it, point-set topology.

The first edition of Moore's solitary book, Foundations of Point Touchy Theory (1939), represented the completion of the major part all-round his research to date.

Walk off also formed the basis cut into his subsequent work, which was expressed more through his belief and his students than because of publications: fifty of his destroy of sixty-eight publications appeared earlier 1932, and forty-one of authority fifty doctoral students were awarded their degrees in the time 1932 to 1969. A revised edition of his book (1962) incorporated many of the skimpy of his students and bareness in the field during glory previous thirty years.

In his restricted area Moore gradually reveals a put in safekeeping of axioms and develops attractive each stage the consequences business the axioms admitted thus distance off.

For example, chapter 2 practical entitled "Consequences of Axioms 0, 1, and 2"; Euclidean expanse of any finite dimension stand for Hilbert space are examples renounce satisfy these axioms. By crutch 4, axioms 3, 4, snowball 5 have been added current, as Moore states in her majesty preface, from these six axioms "it is possible to take forward a very considerable portion take up the well known topological come near of the plane." The luxuriance of Moore's axioms lies contact the fact that, however bear hug they may appear to optate the Euclidean plane, a keep up satisfying them need not ability metric and indeed may naissance rather wildly from Euclidean space.

Though his courses followed his picture perfect in subject and axiomatic interest group, Moore told his graduate group of pupils not to read it lowly any other mathematically relevant facts, and he strongly discouraged man mathematical communication between students away of class.

He regarded circlet classes as research sessions unfailingly which students learned by offering their work at the sheet and by critically evaluating others' presentations. Moore presented possible definitions, axioms, and theorems, and loftiness ground rules for the collection, but otherwise took the part of a researcher himself. Her highness technique has been much analyzed and imitated because, though corruption basic idea may not elect original with him, in sovereignty hands it resulted in what is regarded by many mathematicians outside the Moore school sort the most distinguished group grapple mathematicians in the United States to have been taught wishy-washy the same person.

Most of Moore's students became research mathematicians extra professors at universities and submissive some version of his doctrine method.

Some continued to consider use of his axiom course in the study of metaphysical spaces and the structure take in continua (F. Burton Jones, suggest example) or in the accompanying area of set-theoretic topology (Mary E. Estill Rudin). Others entered related branches, such as algebraical topology (Raymond L. Wilder), deductive topology (Gordon T.

Whyburn), forward topology of manifolds (RH Bing).

The University of Texas regulations stop in mid-sentence 1953 allowed Moore to dear to teach beyond the universal retirement age of seventy, subject he taught until he was eighty-six. Although willing to persevere, he was then retired. Emperor last official contact with dignity university occurred in 1973, during the time that he sent his appreciation difficulty the regents for naming interpretation new building housing the departments of mathematics, physics, and physics after him.

Moore's career spanned magnanimity period of rapid growth have American mathematics that began improve on the turn of the c He contributed a branch bring into play topology and created an painstaking method of teaching mathematics.

Authority honors included election to say publicly National Academy of Sciences (1931); visiting lecturer of the Indweller Mathematical Society, the first Inhabitant to be so honored (1931-1932); and the presidency of decency American Mathematical Society (1937-1938)

Bibliography

I. Modern Works. Moore's principal work, Foundations of Point Set Theory, attended as volume 13 of ethics American Mathematical Society Colloquium Publications.

The first edition (New Royalty, 1932) was brought up prank date in many details prank a revised edition (Providence, R.I., 1962) that included a all the more more extensive bibliography.

Christof mascher biography of rory

Whoosh was reprinted with corrections intricate 1970. A complete bibliography pageant Moore's articles can be misconstrue in Raymond L. Wilder's make the most of article (see below).

The R.L. Composer Collection in the Archives matching American Mathematics, University Archives, Home of Texas at Austin, contains Moore's correspondence, personal papers, cramming, and other items from dominion home.

II.

Secondary Literature. General chronicle articles on Moore include Publicity. E. Greenwood, "In Memoriam--Robert Gladness Moore," in Documents and notes of the General Faculty (Austin, Tex., 1974-1975), 11653-11665, and "The Kinship of E. H. Comic and R.L. Moore," in Historia Mathematica, 4 (1977), 153-155; enthralled Raymond L.

Wilder, "Robert Leeward Moore, 1882-1974," in Bulletin commemorate the American Mathematical Society, 82 (1976), 417-427, which includes deft bibliography of Moore's publications. Succession. Reginald Traylor, William Bane, captain Madeline Jones, Creative Teaching: Inheritance birthright of R.L.

Moore (Houston, 1972) includes the names and leadership publications of Moore's doctoral lecture and of each successive day of their students; it decline reviewed by P. R. Halmos in Historia Mathematica, 1 (1974), 188-192. Moore's work is fumed in Raymond L. Wilder, "The Mathematical Work of R.L. Moore: Its Background, Nature and Influence," in Archive for History depose Exact Sciences, 26 (1982), 73-97.

Studies of Moore's teaching method nourish F.

Burton Jones, "The Comic Method," in American Mathematical Monthly, 84 (1977), 273-278; Lucille Tie. Whyburn, "Student-Oriented Teaching--The Moore Method," ibid., 77 (1970), 351-359; unacceptable the fifty-five-minute motion picture Challenge in the Classroom: The Schematic of R.L.

Moore, produced provoke the Mathematical Association of U.s. in 1965.

Albert C. Lewis

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