Edward Vermilye Huntington

From The Duplicity of Logic 1938 by Edward V. Huntington

      Many of these near-geometries have proved of great service to science, not in investigation the properties of space, but in studying other situations in which the structure of the observed phenomena is correctly reflected in the structure of the set of postulates in question.  In fact the most important feature of any set of postulates is that it emphasizes structure rather than substance.  The work of Count Korzybski . . . emphasizes above everything else the importance of structure in language.  No language is truly scientific unless the structure of the language reflects the structure of the outside world.  The language of mathematics comes nearer to satisfying this test than any other language -- hence the importance of mathematical thinking, not only in the narrow realm of number and magnitude, but in all departments of human effort.

. . . . . . . . . . . . . . . . . . . .

      Mathematics (that is, logic) does indeed lead a multiple life.  What we used to call Geometry (with a capital G) we now have to break up into a multitude of geometries, which may be distinguished (after Korzybski) by numerical subscripts : geometry₁, geometry₂, geometry₃,.....    Each of these geometries has its own base and its own set of postulates, and its own set of definitions or abbreviations.  As I have tried to point out elsewhere the quickest way to get at the real significance of any abstract deductive theory is to examine the definitions which the author of the theory has chosen to adopt.  The definitions are not implicitly contained in the postulates as is often erroneously supposed, but reflect the intelligent interest of some creative human agent.  In a larger sense, the postulates themselves adopted as the basis of any system constitute the definition of that system within its universe of discourse, and the selection of one definition rather than another is again a matter of human volition.

( Scripta Mathematica, Vol V, No. 4 (1938), 236-237. )
General Semantics Bulletin
Autumn-Winter 1950-1951 (Numbers 4 & 5).
Lakeville, Connecticut : Institute of General Semantics 1951, page 19.

Bibliographic (University of California etc.)

Author Huntington, E. V. (Edward Vermilye), 1874-1952 Title The continuum and other types of serial order, with an introduction to Cantor's transfinite numbers Publisher [New York] Dover Publications [1955] Description vii, 82 p. diagrs. 21 cm Language English Note "The first edition appeared in 1905 ... under the title: The continuum as a type of order. This ... is an unabridged and unaltered republication of the second edition published by Harvard ... 1917." Note Bibliographical footnotes

Author Huntington, E. V. (Edward Vermilye), 1874-1952. Title The continuum, and other types of serial order, with an introduction to Cantor's Transfinite numbers. By Edward V. Huntington. Publisher Cambridge, Mass. : Harvard University Press, 1942 [c1917] Description vii, 82 p. diagrs. 22 cm. Language English Note "The first edition...appeared in 1905...under the title: The continuum as a type of order." Note Bibliographical footnotes.

Author Huntington, E. V. (Edward Vermilye), 1874-1952 Title The fundamental propositions of algebra, by Edward V. Huntington Publisher Brooklyn, N.Y., The Galois Institute Press, Long Island University, 1941 Description 151-207 p. front., diagrs. 23 cm Language English Note Cover-title: Algebra Reprinted from Monographs on topics of modern mathematics, edited by J. W. A. Young in 1911 Running title: Modern mathematics Note Bibliographical footnotes

Author Huntington, E. V. (Edward Vermilye), 1874-1952. Title The duplicity of logic, by Edward V. Huntington. Publisher [New York : Scripta mathematica, 1938] Description 1 p. L., 14 p. diagrs. 25 cm. Language English Note "Reprinted from Scripta mathematica, vol. V, nos. 3 and 4. July, October, 1938." "Lecture on the method of postulates, delivered at the University of Notre Dame, February 11, 1938."

Author Huntington, E. V. (Edward Vermilye), 1874-1952. Title The continuum, and other types of serial order, with an introduction to Cantor's transfinite numbers, by Edward V. Huntington. Publisher Cambridge, Mass., Harvard University Press, 1921. Description vii, 82 p., 1 �. diagrs. 22 cm. Language English Note "The first edition of this book appeared in 1905 as a reprint from the Annals of mathematics, series 2 (vol. 6, pp. 151-184, and vol. 7, pp. 15-43), under the title: The Continuum as a type of order: an exposition of the modern theory ... "--Pref. to the 2d ed.

Author Huntington, E. V. (Edward Vermilye), 1874-1952. Title Handbook of mathematics for engineers, by Edward V. Huntington. With tables of weights and measures by Louis A. Fischer. Reprint of sections 1 and 2 of L.S. Marks's "Mechanical engineers' handbook". Publisher New York, McGraw Hill, 1918. Description vii, 190 p. illus., diagrs., 19 cm.

Author Huntington, E. V. (Edward Vermilye), 1874-1952. Title The continuum, Publisher Cambridge, Mass. : Harvard university press, 1917. Description vii, 82 p., 1 l. diagrs. 22 cm. Language English

Author Young, J. W. A. (Jacob William Albert), 1865- Title Monographs on topics of modern mathematics, relevant to the elementary field, ed. by J.W.A. Young. Publisher New York [etc.] Longmans, Green and Co., 1914. Description viii, 416 p. diagrs. Language English Contents The foundations of geometry, by O. Veblen.--Modern pure geometry, by T.F. Holgate.--Non-Euclidean geometry, by F.S. Woods.--The fundamental propositions of algebra, by E.V. Huntington.--The algebraic equation, by G.A. Miller.--The function concept and the fundamental notions of the calculus, by G.A. Bliss.--The theory of numbers, by J.W.A. Young.--Constructions with ruler and compasses: Regular polygons, by L.E. Dickson.--The history and transcendence of [pi], by D.E. Smith.

Author Society for the Promotion of Engineering Education (U.S.). Committee of the Teaching of Mathematics to Students of Engineering. Title Syllabus of mathematics; a symposium compiled by the committee on the teaching of mathematics to students of engineering. Accepted by the Society for the promotion of engineering education at the 19th annual meeting, held at Pittsburgh, Pa., June, 1911. Imprint Lancaster, Pa., New era printing company] 1914. Edition Revised to January 1, 1914. Descript 2 p. l., 136 p. diagrs. 23 cm. Note Edward V. Huntington, chairman.
[ Source : New York Public Library 2 Jan 05   http://catnyp.nypl.org

Author Huntington, E. V. (Edward Vermilye), 1874-1952, Title Four place tables of logarithms and trigonometric functions Publisher Cambridge, Mass., For sale by the Harvard Coöperative Society, c1907 Description [3], 8-27, [1] p. 23 cm

Author Huntington, E. V. (Edward Vermilye), 1874-1952. Title The fundamental laws of addition and multiplication in elementary algebra. Publisher Cambridge, Harvard university, 1906. Description 44 p. illus. Language English Note Reprinted from the Annals of mathematics, second series, vol. 8, no. 1, October, 1906.

Author Huntington, E. V. (Edward Vermilye), 1874-1952. Title Ueber die Grund-Operationen an absoluten und complexen Grössen in geometrischer Behandlung. Imprint Braunschweig, F. Vieweg & Sohn, 1901. Descript 1 p.l., xvii, 64 p. 8vo.
[ Source : New York Public Library 2 Jan 05   http://catnyp.nypl.org