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Guide to the Karl Menger Papers, 1872-2000

Abstract

Collection includes correspondence, notebooks, research and teaching notes, drafts of unpublished and published works, teaching materials, student theses, printed materials, and a few photographs. Mathematical subjects include curves theory, algebra, geometry, and the philosophy of mathematics. Many letters are from notable scientists; those written to Menger during World War II often comment on the hardships of colleagues still in Europe. Includes biographical materials relating to Karl Menger and to his father, the Austrian economist Carl Menger, and materials related to the history of the Vienna Circle (1920s-1930s), a group of scholars concerned with philosophy and science. Notebooks relate to Menger's early work as a student, and later notes on mathematical theory. Printed items include many European and American scientific reprints, textbooks, study manuals, and school publications.

Descriptive Summary

Title
Karl Menger papers
Creator
Menger, Karl, 1902-1985
Extent
49.0 linear feet, 29,500 items
Repository
David M. Rubenstein Rare Book & Manuscript Library
Location
For current information on the location of these materials, please consult the Library's online catalog.
Language
English and German.

Collection Overview

Collection includes correspondence, notebooks, research and teaching notes, drafts of unpublished and published works, teaching materials, student theses, printed materials, and a few photographs. Mathematical subjects include curves theory, algebra, geometry, and the philosophy of mathematics. Many letters are from notable scientists; those written to Menger during World War II often comment on the hardships of colleagues still in Europe. Includes biographical materials relating to Karl Menger and to his father, the Austrian economist Carl Menger, and materials related to the history of the Vienna Circle (1920s-1930s), a group of scholars concerned with philosophy and science. Notebooks relate to Menger's early work as a student, and later notes on mathematical theory. Printed items include many European and American scientific reprints, textbooks, study manuals, and school publications.

Administrative Information

A majority of collections are stored off site and must be requested at least 48 business hours in advance for retrieval. Contact Rubenstein Library staff before visiting. Read More »

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Collection is open for research.

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Please contact Research Services staff before visiting the David M. Rubenstein Rare Book & Manuscript Library to use this collection.

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The copyright interests in this collection have not been transferred to Duke University. For more information, consult the copyright section of the Regulations and Procedures of the David M. Rubenstein Rare Book & Manuscript Library.

Contents of the Collection

Correspondence Series, 1918-1984

The Correspondence Series has been arranged alphabetically by correspondent, with notes whenever possible indentifying individual correspondents and topics addressed in the letters.

Abbott, James C., 1943-1961

American mathematician. Some outgoing correspondence.

Topic(s): Real projective geometry, hyperbolic geometry, Boolean algebra

Box 1
Addison-Wesley Publishing, 1974

Topic(s): Publication of Menger's "The Foundations of Geometry"

Box 1
Alexandroff, Paul, 1928 and undated

Russian mathematician/topologist.

Topic(s): Routine exchanges; some correspondence between Alexandroff and Hurewicz

Box 1
Alexitis, Georges, 1933-1938

Hungarian mathematician.

Topic(s): Dimension theory, combinatorial (algebraic) topology, calculus of variations, metric geometry; Brouwer, Urysohn; routine exchanges

Box 1
Alt, Franz L., 1935-1962 and undated

Austrian mathematician; student of Karl Menger and member of Menger's Mathematical Colloquium. Some outgoing correspondence.

Topic(s): Calculus of variations, metric geometry; projective geometry; computer languages, progamming; routine exchanges; paper comments. Later correspondence in English

Box 1
American Mathematical Monthly, 1954-1968

Some outgoing correspondence.

Topic(s): Author communiques, rejection letters

Box 1
American Mathematical Society, 1953-1972

Some outgoing correspondence.

Topic(s): Author communiques, rejection letters; invitation to lecture

Box 1
Aronszajn, Nachman, 1930-1948

Polish-American mathematician.

Topic(s): Dimension theory, topology, theory of functions; routine exchanges

Box 1
Arrow, Kenneth J., 1964-1972

American economist; 1972 Nobel Prize Winner in Economics.

Topic(s): Arrow asks for K.M.'s input concerning the history of general equilibrium theory; Arrow's response to Menger's congratulations concerning Nobel Prize

Box 1
Ayres, W.L., 1927-1930 and undated

American mathematician.

Topic(s): Routine exchanges

Box 1
General correspondence, "A," 1938-1982

Other correspondents with last name beginning with A. Some outgoing correspondence.

Including: Mortimer J. Adler (thanks for reprint of "The New Logic"); Pier A. Abetti (routine exchanges); Lars V. Ahlfors (concerning K.M.'s notational suggestions); F. Axamit (routine exchange); Gordon Allen, M.D. (concerning K.M.'s notational suggestions); from K.M. to Richard T. Arnold (recommendation letter for Dr. Thomas Erber); Edward S. Allen (question about implication of "Moral, Wille,..."; Salvador Adora (routine exchange, thanks for financial help)

Box 1
Bachiller, Tomás Rodriguez, 1935-1951

Spanish mathematician.

Topic(s): Routine exchanges; theory of functions, metric geometry

Box 1
Bárány, Robert, 1920-1921

Austro-Hungarian otologist.

Topic(s): Routine exchanges; Einstein

Box 1
Behnke, Heinrich, 1965

German mathematician. Some outgoing correspondence.

Topic(s): Routine exchanges; theory of curves, dimension theory

Box 1
Benedikt, Moritz, 1918-1926

Austro-Hungarian neurologist.

Topic(s): Routine exchanges (handwriting illegible)

Box 1
Bentley, Arthur F., 1929

American political scientist.

Topic(s): Set theory and number theory

Box 1
Biedermann, M.M., 1926-1930

Dutch mathematician.

Topic(s): Routine exchanges, thanks for reprints

Box 1
Birkhoff, Garrett, 1938-1975 and undated

American mathematician. Some outgoing correspondence.

Topic(s): Affine geometry, projective gemetry, lattice theory; history of dimension theory; routine exchanges; some correspondence between Garrett Birkhoff and H. Freudenthal

Box 1
Birkhoff, George, 1935-1937

American mathematician.

Topic(s): Routine exchanges; some corespondence between George Birkhoff and Gottfried Haberler

Box 1
Bloomfield, Leonard, 1937-1946 and undated

American linguist.

Topic(s): Projective geometry; routine exchanges, thanks for reprints

Box 1
Blumenthal, Leonard M., 1931-1982 and undated

American mathematician. Some outgoing correspondence.

Topic(s): Metric geometry, topology, calculus of variations; routine exchanges; discussion, planning of co-authored book ("Studies in Geometry," 1970)

Box 1
Bocheński, Józef Maria, 1934-1955

Polish philosopher and logician.

Topic(s): Routine exchanges; modal logic, a formal-logical approach to ethical problems; Lukasiewicz

Box 1
Bohr, Harald, 1926-1935

Danish mathematician; brother of Niels Bohr.

Topic(s): Routine exchanges

Box 1
Bouligand, Georges, 1936-1959

French mathematician.

Topic(s): Routine exchanges

Box 1
Bridgman, Percy W., 1952-1953

American physicist, 1946 Nobel Prize Winner in Physics. Some outgoing correspondence.

Topic(s): Probabilistic analysis; Menger's Calculus textbook; routine exchanges, thanks for reprints

Box 1
Brouwer, L.E.J., 1924-1930

Dutch mathematician and philosopher.

Topic(s): Lengthy correspondence in German starting before and extending beyond Menger's time in Amsterdam as Brouwer's assistant.

Box 1
General correspondence, "B," 1925-1980 and undated

Other correspondents with last name beginning with B. Some outgoing correspondence.

Including: German philosopher, logician, and mathematician Oskar Becker (routine exchange); (Ludwig?) Bieberbach (postcard, routine exchange); (Otto?) Blumenthal (routine exchange); Karol Borsuk (paper submission? routine exchange); Paolo Bonetti (rejection letter from "Scientia"; Ruth Buschke (routine exchange); Émile Bréhier (newsletter from Neuvième Congrès International de Philosophie); Enea Bortolotti (routine exchange); Thomas J. Barry (publicity director for Notre Dame, request for photograph); G. van den Barren (? routine exchange); H.E. Bray (methods of proof in vector analysis); Egon Brunswick (probabilistic geometry); Reinhold Baer (projective geometry); Sister M. Francis Borgia, S.S.N.D. (proof of the sextuple theorem); H.L. Blackwell (from Menger, regarding probabilistic geometry, request for data); J.C. Boyce (incoming and outgoing correspondence regarding Menger's work at Argonne National Laboratory); Richard L. Baran (thanks for reprints); Stephen Baker (routine exchange); A.S.W. Borinski (regarding manusript sent by Borinski); Frederick Bock (request for correction of translated passage); Elizabeth Boyer (draft sent); Paul Bernays (comments on Menger's work?); Artur Bergmann (communication of mathematical results); Peter Benzin (request for comments ?); Donald R. Byrkit (request for help filling adjunct position at U. of West Florida); S. Bilinski (thanks for reprints); Leon Bernstein (routine exchange); William Bettelheim (regarding Carnap?); Margarete Boos (regarding Boos' attempt to write a biography of C. Menger); Father Baggio (correction of proof); Manuel Blum (automata theory)

Box 1
Carnap, Rudolf, 1926-1939

German-American philosopher; member of Vienna Circle. Some outgoing correspondence.

Topic(s): Routine exchanges; Rockefeller Foundation funding; Carnap's work on logical syntax, principle of tolerance

Box 1
Čech, Eduard, 1933-1935 and undated

Czech mathematician.

Topic(s): Routine exchanges; request for Menger to guest lecture; Mathematical Colloquium; topology, set-theoretic geometry, calculus of variations

Box 1
Chelsea Publishing Company, 1962-1973

Some outgoing correspondence.

Topic(s): Reprint of Menger's "Kurventheorie"

Box 1
Cowles Commission, 1936-1937

Alfred Cowles 3rd.

Topic(s): Third Annual (1937) Cowles Commission Resarch Conference in Economics and Statistics

Box 1
General correspondence, "C," 1930-1977 and undated

Other correspondents with last name beginning with C.

Including: Julian L. Coolidge (class scheduling for Menger's visiting semester at Harvard, 1930-31); Haskell B. Curry (request for letter of recommendation; reprints sent by Curry; mathematical logic); Alonzo Church (request for comments on Church's bibliography published in Journal of Symbolic Logic); Morris R. Cohen (regarding Rosenwald Foundation funding); H.S.M. Coxeter (routine exchanges, thanks for reprints; Coxeter's review of Abbott, Coxeter's comments on Menger's "Self-dual Postulates"); Rev. John J. Cavanaugh, C.S.C. (Notre Dame business; public lectures); Edwin Comfort (routine exchanges, reprints sent to Menger; AMS refereeing process); Alexander R. Craw (regarding reference to Menger in lecture by W.H. Huggins; routine exchanges); Thomas Cornides (reprints sent to Menger, routine exchanges); Robert S. Cohen (contract agreements); Harvey Cohn (mathematics education, pedagogy); Leslie Coghlan (request for reprints)

Box 1
David van Dantzig, 1925-1928 and undated

Dutch mathematician.

Topic(s): Constructivity, set theory; Brouwer's work on continuum

Box 1
Dawson, John W., Jr., 1981-1984

American mathematician.

Topic(s): Dawson's proposed biography of Gödel

Box 1
DePauli-Schimanovich, Werner, 1981-1984

Author of "Kurt Gödel: Ein Mathematischer Mythos."

Topic(s): Gödel; DePauli-Schimanovich's book on Gödel

Box 4
General correspondence, "D," 1931-1983 and undated

Other correspondents with last name beginning with D.

Including: Francois Divisia (routine exchange, lapsed correspondence; Econometric Society); Franz Deuticke (billing); William F. Dollar (possible purchase of Menger's philosophical library by Assumption University of Windsor, Canada); George B. Dantzig (reprints); Thomas R.A. Davis (request for evaluation of former research assistant); R.M. Dicker (offprints sent, thanks for offprints received); Leon M. Despres (financial matters); Ronald G. Douglas (routine exchange)

Box 1
Errera, Alfred, 1937-1951

Belgian mathematician.

Topic(s): Routine exchanges

Box 1
Evans, Griffith C., 1930-1938

American mathematician.

Topic(s): Routine exchanges; publication in English of a summary of Menger's early work; invitation to Rice Institute; dimension theory; publication matters

Box 1
General correspondence, "E," 1925-1958

Other correspondents with last name beginning with E.

Including: Paul Ehrenfest (routine exchange); Dimitry Egoroff (dimension theory); Howard S. Ellis (gold / monetary policy); B.Eckmann (request for Menger to lecture to Mathematical Colloquium of Zurich); Jack M. Elkin (mathematics education, pedagogy); Albert C. English (mathematics education, pedagogy); Florence L. Elder (thank you for visiting lecture)

Box 1
Feigl, Georg, 1928-1930

German mathematician.

Topic(s): Dimension theory; Jahrbuch über die Fortschritte der Mathematik

Box 2
Feigl, Herbert, 1972

Austrian philosopher; member of the Vienna Circle.

Topic(s): Routine exchanges, Gödel, Wittgenstein, Russell, Vienna Circle

Box 2
Flores, Antonio, 1934-1935 and undated

Spanish mathematician.

Topic(s): Reprints, routine exchanges

Box 2
Ford, Lester R., 1951-1957

American mathematician.

Topic(s): Routine exchanges; I.I.T. business

Box 2
Fraenkel, Abraham, 1928-1955

German-Israeli mathematician.

Topic(s): Routine exchanges; set theory, dimension theory, constructivity

Box 2
Frank, Phillip, 1929-1952 and undated

Austrian physicist, mathematician, and philosopher; member of the Vienna Circle.

Topic(s): Suggested book for HUP on foundations of mathematics; program for "Kongress der Naturphilosophen"

Box 2
Fréchet, Maurice René, 1936-1959 and undated

French mathematician.

Topic(s): Calculus of variations, probabilistic geometry; recommendation by Frechet of Menger for Fullbright Fellowship

Box 2
W.H. Freeman and Company Publishers, 1962-1970

Some outgoing correspondence.

Topic(s): Correspondence with publisher regarding geometry textbook co-written with Leonard Blumenthal

Box 2
General correspondence, "F," 1926-1984 and undated

Other correspondents with last name beginning with F.

Including: Robert Friedman (foundations of math, intuitionism, routine exchanges); Felix Frankel (routine exchanges, state of science and mathematics in Moscow ca. 1929, theory of curves); Leopold Fejér (routine exchanges); Ragnar Frisch (routine exchanges, request for Menger's writings on social-scientific applications of mathematics and logic); Simion Stoilow (regarding Hans Hahn); Ky Fan (routine exchanges, metric geometry); Robert Feys (routine exchanges, probability theory, modal logic); Paul Finsler (routine exchanges, thanks for reprints, invitation to Zurich Mathematical Colloquium); Herbert Amasa Forrester (copy of report sent to Menger); Henry George Forder (routine exchanges); Don C. Ferguson (request for Menger to review and evaluate Ferguson's "functional notation" for calculus); William J. Frascella (addressed to Marvin G. Mundt regarding history of analysis course); Alois Fritsch (routine exchanges); Solomon Feferman (thanks for reprints, John Dawson's biography of Kurt Gödel)

Box 2
Ginn and Company Educational Publishers, 1955-1956

Topic(s): Correspondence regarding Menger's Calculus textbook

Box 2
Gödel, Kurt, 1933-1972

Austrian-American logician, mathematician, and philosopher; associate of the Vienna Circle and member of Menger's Mathematical Colloquium.

Topic(s): Routine exchanges, mathematical logic, set theory, continuum hypothesis; Gödel's comments on Menger's work; request for news regarding Mathematical Colloquium; offer to bring Gödel to Notre Dame; Menger's Calculus textbook; mathematics pedagogy; Menger's request for Gödel's reminiscences of Vienna Circle; the extent of Wittgenstein's comprehension of Gödel's incompleteness theorems

Box 2
General correspondence, "G," 1925-1981

Other correspondents with last name beginning with G. Some outgoing correspondence.

Including: Marcel Grossman (from Menger regarding metric geometry, postcard from Grossman to Menger); Harry Merrill Gehman (thanks for reprints; notification of Menger's appointment to American Association for the Advancement of Science); Heinrich Grell (invitation from Menger to speak to Mathematical Colloquium; post vist follow-up from Grell to Menger); Heinrich Gomperz (routine exchanges); Gerhard Gentzen (request for reprint); M. Gorce (request for reprint); Frau Gräfin (regarding translation of Menger's book); Lawrence M. Graves (routine exchanges, rejection letter from Bulletin of the AMS); Godofredo Garcia (routine exchanges); S. Grunzweig (routine exchanges); J. Trevino Garcia (request for reprints); Charles David Gorman (request for letter of recommendation); L.E. Grinter (request for Menger to join University of Florida faculty); Ferdinand Gonseth (invitation for Menger to attend meeting of International Congress for Philosophy of Science); Thomas L. Gilbert (critical comments on Menger's "What are Variables and Constants?"); Ralph J. Godzicki (communication of student praise of Menger); Dan Gottl (routine exchanges); James H. Bowden (to Martin Gardiner regarding Unexpected Hanging Paradox); Eugene T. Gadol (publication of Schilck volume); V. Grafe (routine exchanges); Roy Gunderson (request for letters of recommendation); Eugene Gehrig (thanks for reprints)

Box 2
Haberler, Gottfried, 1983 and undated

Austrian-American economist

Topic(s): Comments on Carl Menger biography; thanks for reprints, Schumpeter, Birkhoff, Wassily Leontief, Böhm-Bawerk, Morgenstern; routine exchanges

Box 2
Hahn, Hans, 1926-1931 and undated

Austrian mathematician; Menger's teacher and founding member of the Vienna Circle.

Topic(s): Routine exchanges; Brouwer, Urysohn, Birkhoff; set theory, geometry, topology (Hahn's handwriting mostly illegible)

Box 2
Harlen, H., 1928

Topic(s): Metric geometry, definition of convexivity, combinatorics; routine exchanges

Box 2
Hart, John B., 1951-1975

American physicist.

Topic(s): Routine exchanges, request for reprints; Legendre transformation; relationship between Newton's first two laws of motion

Box 2
Haupt, Otto, 1932-1963

German mathematician.

Topic(s): Routine exchanges; theory of non-orientable manifolds

Box 2
Hayden, Robert W., 1980-1981 and undated

American mathematician. Some outgoing correspondence.

Topic(s): "New math" movement, Max Beberman, mathematics education / pedagogy; routine exchanges

Box 2
Hayek, F.A., 1929-1983 and undated

Austro-British economist and philosopher, 1974 Nobel Prize Winner in Economics. Folder includes some early correspondence between Hayek and J.M. Keynes.

Topic(s): Correspondence between Hayek and Keynes concerns a potential position at the Bank of International Settlements and the possibility of Keynes recommending Hayek for such a position (Keynes treats Hayek's request cordially, but is rather non-committal), and a possible subscription by the Royal Economic Society to Carl Menger's Collected Works (which Hayek edited ?). Correspondence between Hayek and K. Menger addresses Wittgenstein (and Hayek's relationship with the latter); routine exchanges; Hayek raises the possibility that he and Menger were distantly related. Hayek offers comments on a biography of Carl Menger that Menger seems to have written at some point (?)

Box 2
Heald, Henry T., 1951-1957

First President of Illinois Institute of Technology; later President of the Ford Foundation. Some outgoing correspondence

Topic(s): Routine exchanges from Heald; letters from Menger concern mathematics education / pedagogy; some plea for funding from Ford Foundation for Menger's mathematics education project.

Box 2
Hedrick, E.R., 1931-1937

American mathematician.

Topic(s): Resuest for Menger to lecture at Caltech, summer 1931, and at American Association for the Advancement of Science meeting in Denver, June 1937.

Box 2
Holder-Pichler-Tempsky, 1964-1983

Viennese publishing company. Some outgoing correspondence.

Topic(s): Licensing of Carl Menger's Grundsätze and Die Irrtümer; Menger's contribution to a monograph about Gödel.

Box 2
Hurewicz, Witold, 1927-1929 and undated

Polish mathematician.

Topic(s): Metric geometry, dimension theory, set theory; Brouwer-Menger controversy; Urysohn, Alexandroff, Schreier, Kuratowski, Redeimeister; routine exchanges

Box 2
General correspondence, "H," 1920-1983 and undated

Other correspondents with last name beginning with H. Some outgoing correspondence.

Including: Wilhelm (?) Hummel (dimension theory, set theory); Edmund Husserl (postcard, routine exchanges); Arend Heyting (thanks for reprints, Brouwer); Felix Hausdorff (thanks for reprints, Brouwer-Menger controversy); Lothar Heffter (illegible); T. Hirano (foundations of mathematics, Herman Weyl, Gödel); T.H. Hildebradt (thanks for warm treatment at Notre Dame conference, Green's theorem); Victor F. Hess (routine exchanges, Gert Müller); Lilly Hahn (Hans Hahn, routine exchanges); M. Herfeld (Emil Kauder, Carl Menger, Crown Prince Rudolph, Menger's paper about Carl and Rudolph); Car; G. Hempel (regarding whether Princeton's math department ever used one of Menger's texts, thanks for reprints, mathematical eduction / pedagogy); Edward F. Haskell (sent reprints, Marston Morse, geometry); George B. Headley (mathematics education / pedagogy); M.E. Hartzler (thanks for reprints, comments, applied statistics, routine exchanges); Martial (?) Honnell (mathematics education / pedagogy, electrical engineering, Laplace transformations); Father Henry (?) (1960 summer institute on mathematics education (?), theory of planar order); Albert Hardwick (Associate Editor Charles E. Merrill Books, routine exchanges); Nikolaus Hofreiter (routine exchanges, approval of University of Vienna Fulbright proposal); Dietmar Hübler (projective geometry); Maurice Heiss (?) (Riemannian geometry); J.B. Harkin (routine exchanges, printing of book, Marquette project update); Adolf Hübner (routine exchanges); Rudolf Haller (routine exchanges, Holder-Pichler-Tempsky); F. Henmuller (?) (planar geometry ?)

Box 2
Isaacs, Rufus, 1947-1952 and undated

American game theorist.

Topic(s): Routine exchanges; request for advice; comments on paper; differential games

Box 2
Johnson, Dale M., 1972-1981 and undated

American mathematician; author of book on history of dimension theory. Some outgoing correspondence.

Topic(s): Johnson's book on history of dimension theory; Brouwer-Menger-Urysohn priority controversy

Box 2
Journal of Graph Theory, 1980-1981

Topic(s): Thank you to Menger for willingness to contribute to special issue dedicated to his work, correspondence regarding same

Box 2
General correspondence, "J," 1929-1975

Other correspondents with last name beginning with J.

Including: Vojtěch Jarník (comments on Menger's "Dimensionstheorie"); Easley S. Jones (request for reading suggestions regarding theory of abstract groups; John C. Jordan (mathematical / statistical meteorology); Ralph Duncan James (revisions to Menger's paper "Gulliver's Return to the Land Without One, Two, Three"); Frederick H. Jackson (rejection of appeal for Carnegie funding); Bjarni Jonsson (lattice theory); Larry Johnson (Everiste Galois, nutrition, routine exchanges)

Box 2
Kaufmann, Felix, 1927-1934 and undated

Austrian-American philosopher; member of the Vienna Circle.

Topic(s): Routine exchanges; Brouwer, Vienna Circle; social science methodology; thanks for copy of book (probably "Moral, Wille Und Weltgestaltung")

Box 2
Knaster, Bronislaw, 1925-1936

Polish mathematician.

Topic(s): Routine exchanges; curve theory, set theory, dimension theory; Hurwicz, Urysohn, Brouwer, Alexandroff, Nöbeling, Ayres, R.L. Moore, Kuratowski, Borsuk, Aronzsajn, Hahn, Schreier; comments on papers

Box 2
Kuratowski, Kazimierz, 1921-1960

Polish mathematician.

Topic(s): Routine exchanges; curve theory, set theory, dimension theory, topology; Urysohn, Brouwer, Alexandroff, Knaster, Wilder, Hahn, Sierpinski, Nöbeling, Gödel; 1960 invitation for Menger to visit Poland

Box 2
General correspondence, "K," 1924-1982 and undated

Other correspondents with last name beginning with K.

Including: M. Kiseljak (routine exchanges); A. Koselt (routine exchanges, handwriting illegibile); J.R. Kline (routine exchanges, request for reprints); H. Kinneth (curve theory; Dénes Kőnig (graph theory, curve theory); W.D. Kupradze (exchange of reprints); Julius Kraft ("Moral, Wille und Weltgestaltung"); Dick Kayser (routine exchanges); Howard K. (?) (routine exchanges); Ann Kontny (routine exchanges); Morton R. Kenner (1960 Sumer Institute for Teachers of Mathematics); Paul Kelly (thanks for reprints, job offer to UCSB); Richard Kessler (routine eschanges, compliments for course taught by Menger, "Kessler's equation"); Virginia Kafka (proofs, theorems); Erwin Kreyszig (routine exchanges); Hans (?) Kopfermann (regarding Menger's manuscript "Weierstrass Analytic Functions and Riemann Surfaces"); R.G. Keats (routine exchanges); Hedi Kuranda (from Menger, routine exchanges); Robert Kowalski (routine exchanges); Burt Kaufman (Comprehensive School Mathematics Program); Eckehart Kohler (routine exchanges, Gödel, Schimanovich, Carnap, Dingler, Wittgenstein, methodological tolerance); Rudolf Kirchschlaeger (80th birthday wishes); postcard from (? handwriting illegible) (routine exchanges); K. Kunngui (partial letter); Marianne Kuranda (routine exchanges); C.J.K. (?) (Notre Dame engineering qualifying exams)

Box 2
Lefschetz, Solomon, 1930-1944

American mathematician.

Topic(s): Invitation to lecture; routine exchanges; Nöbeling's result concerning deformation of homeopathic n-dimensional sets in 2n+2 dimensional space; rejection letter from Annals of Mathematics

Box 2
Littauer, Sebastian, 1931-1937 and undated

American engineer.

Topic(s): Request for letter of recommendation; routine exchanges; request for reprints

Box 2
General correspondence, "L," 1927-1982 and undated

Other correspondents with last name beginning with L.

Including: R.G. Lubben (routine exchanges); Edgar Ovell Lovett (visitng appointment to Rice Institute); Adölf Lindenbaum (offprints sent); letter from (? handwriting illegible) (offprints received / sent); P. Lévy (routine exchanges); Adrienne Lipson (discussion of results, computer program for 3 functor results); John B. Lennes (invitation to lecture); Werner Leinfellner (symposiums on Wittgenstein and Vienna Circle); Eric F. Lype (routine exchanges, 80th birthday wishes); J. Marianne Littau (communication of recent mathematical results); May Ling (photographs)

Box 2
Mandelbroit, Benoit B., 1978 and undated

Polish-American mathematician. Some outgoing correspondence.

Topic(s): From Menger: complaint for not receiving credit for discovering, defining, and proving universlaity of Menger sponge in Mandelbroit's book "Fractals." From Mandelbroit: apologies and correction.

Box 3
Mayer, Anton E., 1935-1936 and undated

Austrian mathematician

Topic(s): Projective geometry; handwritten copy of Mayer's "Der grosse durchmesser koveklaieller (?) Polygone"

Box 3
Mazurkiewicz, Stefan, 1929-1934

Polish mathematician.

Topic(s): Dimension theory; invitation to lecture; routine exchanges

Box 3
McGuinness, Brian, 1974-1980

British philosopher; editor of Vienna Circle Collection.

Topic(s): Routine exchanges; correspondence regarding Vienna Circle Collection; Boltzmann, Wittgenstein, Hahn

Box 3
Menger's outgoing correspondence to unknown recipients, 1922-1975 and undated

Topic(s): Routine exchanges; dimension theory, set theory; Hurwicz, Blumenthal, Wald, Gödel; Brouwer-Menger-Urysohn controversy; possible book on philosophy of mathematics; Menger's philosophical library; comments on unidentified papers

Box 3
Moore, Robert Lee, 1926-1930

American mathematician.

Topic(s): Thanks for reprints, reprints sent to Menger; curve theory; routine exchanges; invitation to lecture at U. of Texas during Menger's visit to Rice Institute

Box 3
Morgenstern, Oskar, 1952-1977

Austrian economist; founder (with John von Neumann) of game theory; member of Menger's Mathematical Colloquium. Some outgoing correspondence.

Topic(s): Routine exchanges; thanks for reprints; potential resarch contract for Menger; Emil Kauder; Morgenstern encourages Menger to re-commence work on his mathematical ethics à la "Moral, Wille und Weltgestaltung" and to get Menger's Petersburg Paradox paper translated into English; Menger's research project on social groups and relations

Box 3
Morris, Charles W., 1934-1975

American philosopher.

Topic(s): Routine exchanges; request to meet while Morris visits Vienna; invitation to Menger to attend Chicago Logic of Science Disucssion Group

Box 3
Morse, Marston, 1934-1957 and undated

American mathematician.

Topic(s): Routine exchanges; thanks for reprints; Blumenthal, Veblen, Gödel; metric geometry,calculus of variations; acceptance of invitation to lecture at Notre Dame; copy of correspondence from Morse to Gordon Bowles, Executive Secretary, Conference Board of Associated Research Coucils, regarding Menger; submission of manuscript to Proceedings of the American Mathematical Society; thanks for copy of "Calculus"; correspondence with Edward Haskell regarding Menger

Box 3
Mulder, Henk, 1972-1978

Dutch philosopher.

Topic(s): Neurath, Carnap; Vienna Circle Collection, correspondence regarding Menger's contribution to VCC and partcipation as Advisory Board member; routine exchanges

Box 3
General correspondence, "M," 1933-1980 and undated

Other correspondents with last name beginning with M.

Including: H.M. Miller (Rockefeller Foundation administrator regarding fellowship for Nöbeling); Yukio Mimura (routine exchanges); H. Marsh (?) (routine exchanges); Paul Montes (routine exchanges); Richard von Mises (Wald, foundations of probability theory); H. Mark (Philipp Gross); Kazuo K. Midutani (mathematical economics); G.H. (?) MIller (response to invitation to visit Notre Dame); Andrzej Mostowski (routine exchanges, Tarski, Polish exposition of Gödel's incompleteness theorems); Ho Kee Minn (routine exchanges); Edward F. Moody, Jr. (rejection from Wiley & Sons of "Calculus: A Modern Approach"); Warren Sturgis McCulloch (thanks for reprints, neurophysiology); Heinrich Meyer (partial letter, set theory, differential calculus, group theory, function theory, Bridgman); Russell Meyers, M.D. (comments on Menger's "Why Johnny Hates Math" and "New Approach to Teaching Intermediate Mathematics"); Fritz Machlup (routine exchanges, possible gift of Menger's collection of photographs [of economists?] to Johns Hopkins); Daniel M. McMaster (correspondence from Lawrence J. Green, S.J. regarding geometry exhibition at Chicago Museum of Science and Industry); W.H. Meyer (regarding mathematics currciulum of California public high schools); Edwin Marcuski (?) (response to invitation to conference); Maximilian Mintz (thanks for reprints, routine exchanges); Kenneth O. May (thanks for Menger's offer to write something on theory of curves; routine exchanges); M.A. McKiernan (calculus of variations, mauscript of McKiernan's "Sufficiency of Parameter Invariance Conditions in Areal and Higher Order Kawaguchi Spaces); William M. Myers (request for suggestion of candidates for position at University of Montana); Saunders Mac Lane (routine exchanges); Marvin G. Mundt (routine exchanges); Klaus Mudersbach (routine exchanges, thanks for reprints, definition); Phil Marcus (reprints sent); Eva Menger (daughter) (routine exchanges); Kirsten Menger (-Anderson, granddaughter) (routine exchanges); Dr. Mahavier (?) (from Menger, routine exchanges, discussion of formula); Karl S. Menger, Jr. (son) (routine exchanges)

Box 3
Neumann, John von, 1930-1953 and undated

Hungarian mathematician, physicist, and economist; founder (with Oskar Morgenstern) of game theory.

Topic(s): Routine exchanges; reprints sent, thanks for reprints

Box 3
Newman, James R., 1956-1959

American mathematician. Some outgoing correspondence.

Topic(s): Correspondence regarding Menger's proposed article for Scientific American; comments on Menger's "mathematics primer" ("Why Johnny Hates Math"?)

Box 3
Nöbeling, Georg, 1929-1934 and undated

German mathematician; member of Menger's Mathematical Colloquium.

Topic(s): Routine exchanges; mathematical colloquium; geometry, topology, analysis, curve theory, dimension theory, set theory, differential calculus; letter of recommendation written by Menger on Nöbeling's behalf; Wald, Urysohn, Reichenbach, Grell, Hahn, Alt, Hurwicz, Bieberbach, Flores, Veblen, A.N. Whitehead, F.K. Schmidt, Kurt Reidemeister, Čech

Box 3
General correspondence, "N," 1926-1975 and undated

Other correspondents with last name beginning with N. Some outgoing correspondence.

Including: Ernst Nagel, Otton Nikodym (routine exchanges, reprints); Otto Neurath (Encyclopedia of Unified Science); F.S. Norlan (?) (home rental); Ernest Nagel (comments on partial manuscript of Menger's "Mathematics and Common Sense"); Eric T. Nettel (routine exchanges); M.H.A. "Max" Newman (thanks for offprints, Bertrand Russell);

Box 3
Office of Naval Research, 1963

Topic(s): Proposal on algebra of functions

Box 3
Oldenbourg Verlag, R., 1964-1981

German publisher.

Topic(s): Comments on Menger's "Calculus", "Selected Papers"; routine exchanges

Box 3
Organizations (Miscellaneous), 1924-1978 and undated

Some outgoing correspondence.

Topic(s): (Viennese ? Austrian ?) Akademie der Wissenschaften (Menger's deposit of "Point Set Theory III"); R. Gaston Dreyfus & Cie (account statement); Society for the Protection of Science and Learning (reference for Friedrich Waismann); Association for Symbolic Logic (invitation to join); Committee in Preparation for the 2nd International Topology Conference (committee business); Minerva Wissenschaftliche Buchhandlung (receipt); British Society for the History of Science, Philosophy of Science Group (correspondence regarding accepted paper); Chicago Museum of Science and Industry (mathematics exhibit); The Saturday Review (science / mathematics education); Canadian Journal of Mathematics (rejection letter); British Society for Philosophy of Science, et al. (correspondence [stapled together] apparently concerning Menger's trip ca. 1960/61 to Britain, includes letters from Mary Hesse, Martin Fieldhouse, Gerd Buchdahl, G.N. Copley, P.H. Frost, M.H.A. "Max" Newman); Archiv der Mathematik (corrections to manuscript ?); The International Year Book and Statesmen's Who's Who (Menger's biographical entry in the 1963 Year Book); Institute for Advanced Studies - Vienna (list of guest professors); Association for the Advancement of Science, 133rd Meeting (abstract for Menger's talk on Mach); Illinois Institute of Technology, Public Relations Department (list of upcoming events); Ex Libris Buchhandlungsgesellschaft (order of Menger's "Basic Concepts of Mathematics"); Harper and Brother (from Menger, regarding "Calculus. The Elements"); Kürschners Deutscher Gelehrten-Kalender (form / request for information); Theory and Decision (rotuine exchanges); Duncker and Humboldt (publication rights to works of Carl Menger); University of Vienna (program from symposium on 100 years of Carl Menger's "Grundsätze"); Battelle, Seattle Resarch Center ("An Open Letter from a Group of Mathematicians to Mr. Emerson Elliott, the Acting Director of the National Institute of Education"); Oxford University Press (order / billing of Hicks-Weber's book "Carl Menger"); CBS International Publishing (request to quote from textbook); Synthese (style sheet); B.G. Teubner Verlag (publishing contract); American Catholic's Who's Who (Menger's entry); Johann Rotter Cemetary (grave sales / advertising ?); Ford Institute in Vienna (structure and scope of Institute); Whos' Who in America (Menger's entry in the 43rd edition); American Men of Science (Menger's entry in the 1970 edition); Little City (seasons greetings card)

Box 3
Ostrowski, Alexander, 1951-1955

Russian-Swiss mathematician.

Topic(s): Menger's "Geometrie und Wahrscheinlichkeit"; comments on paper

Box 3
General correspondence, "O," 1936-1954 and undated

Other correspondents with last name beginning with O.

Including: Signature illegible (Lillruy Ogulral ?) (routine exchanges ?); Rufus Oldenburger (notes of Menger's seminar lecture, 1953 Sigma XI program); Benton Brooks Owen (request for reprint); Thomas H. Osgood (rejection letter from American Journal of Physics); Oystein Ore (rotuine exchanges); Bob Owendoff (vector analysis)

Box 3
Pauc, Christian Yvon, 1933-1961 and undated

French mathematician.

Topic(s): Routine exchanges; calculus of variations, topology, curve theory, dimension theory; Frechet, Brouwer, Wald, Bouligand

Box 3
Philosophia Verlag, 1978-1984 and undated

Albert H. Zlabinger; Carl Menger Library.

Topic(s): Correspondence regarding Carl Menger Library; routine exchanges; Hayek, Ludwig von Mises, Ludwig Lachmann

Box 3
Popoff, Kiril, 1930-1932

Bulgarian mathematician and physicist.

Topic(s): Routine exchanges

Box 3
Popper, Karl R., 1968-1971

Austro-British philosopher.

Topic(s): Routine exchanges; lattice theory; logical tolerance

Box 3
General correspondence, "P," 1927-1982

Other correspondents with last name beginning with P. Some outgoing correspondence.

Including: M. Parch (Brouwer, handwriting illegible); Emil L. Post (reprint sent, routine exchanges); Josef Priebuh (dimension theory); James Pierpont (routine exchanges, thanks for reprints); William T. Perry (routine exchanges, Gödel); Rozsa Peter (thanks for reprints); G. Baley Price (routine exchanges, Green's Theorem); Dan Pyke (complaint regarding Menger's classification as a citizen of German, rather than Austrian, extraction); Gerald B. Phelan (routine exchanges, Menger's "The New Logic"); Sister Mary Peleu (?) (routine exchanges); Chaim Perelman (routine exchanges); George Kimball Plochmann (routine exchages; invitation for Menger to speak at 1964 Western Division meeting of American Philosophical Association); James Pettigrew (routine exchanges, time worked on Menger's research project); William A. Pierce (Moulton Plane); Tony Patricelli (correspondence stapled together, includes letters from Menger, Joe Harkin, and an unnamed ("Ed") correspondent, mathematics teaching, Menger's pre-limit calculus text); Robert Park (Menger [and Blumenthal's] "Studies in Geometry"); Jonas Partridge (treatment of American Indians); Solomon Passy (Bulgarian translation of Menger's "Wittgenstein on Formulae and Variables"); Pryozelaki (? signature illegible) (thanks for reprints)

Box 3
Quine, Willard Van Orman, 1952

American philosopher and logician.

Topic(s): Routine exchanges; praise for and comments upon Menger's attempt to reform calculus, and calculus textbook;

Box 3
D. Reidel Publishing Company, 1972-1980 and undated

Publisher of Vienna Circle Collection.

Topic(s): Regarding publication Vienna Circle Collection, Menger's contributions and others

Box 3
Reilly, Robert C., 1963

American mathematician.

Topic(s): Work on Menger's research project;

Box 3
General correspondence, "R," 1926-1977 and undated

Other correspondents with last name beginning with R. Some outgoing correspondence.

Including: Bertrand Russell (routine exchanges, thanks for reprints, topology); Selby Robinson (request to work with Menger at University of Vienna, 1933-34, as a research assistant); Robert Reininger (routine exchanges); Tonio Rella (routine exchanges, Hahn); Alfred Rosenblatt (topology, mathematical astronomy, Godofredo Garcia, routine exchanges); R.G.D. Richardson (Menger's visit to New York); Hans Reichenbach (Carnap, possibility of a position for Menger in UCLA's math daepartment, thanks for reprints); A. Revuz (routine exchanges, Frechet); J.T. Rettaliata (routine exchanges, Howard Horvath); A. Rapoportz (?) (Menger's Calculus textbook, probabilistic geometry); Tibor Rado (routine exchanges, manuscript); Francois Rostand (routine exchanges, apologies for inability to respond positively to invitation); Gilbert Ryle (rejection letter); Professor Ryser (?) (from Menger, regarding commutative hypergroups); Nicolas Rashevsky (Robert Rosen's PhD defense); Frigyes Riesz (from Menger, regarding multivalued analytic functions); Robert Reichardt (Viennese Ford Institute lecture regarding street geometry (i.e., "taxicab geometry" ?); Gerald R. Rising (mathematics education); Stephen Regoczei (Waismann's "Introduction to Mathematical Thinking"); Marek Rochowski (request for comments); Gian-Carlo Rota (mathematical encyclopedia, some correspondence form Menger on same topic); Robert Rosenthal (query from U. of Chicago libraries of Carl Menger's papers); Ludwig Reich (1978 Symposium on Functional Equations); Haim Reingold (appeal to Carnegie Corporation on Menger's behalf); John F. Randolph (comment on note by J. Novak)

Box 3
Sagoroff, Slawtscho, 1963

German economist, Director of Vienna Institute for Advanced Studies.

Topic(s): Invitation and acceptance to lecture at the Insitute for Advanced Studies Vienna

Box 4
Schalie, Eric van der, 1972-1975 and undated

German-English translator of Menger's "Moral, Wille und Weltgestaltung". Some outgoing correspondence.

Topic(s): Regarding English translation of Menger's "Moral, Wille und Weltgestaltung"

Box 4
Schein, Boris, 1965-1983

Russian-American mathematician. Some outgoing correspondence.

Topic(s): Regarding algebra (superassociative sysmtes, multiplace functions); comments on publications; routine exchange

Box 4
Schlick, Moritz, 1924(?), 1934-1935

German philosopher and physicist; founding member of the Vienna Circle.

Topic(s): Routine exchange

Box 4
Scholz, Heinrich, 1929-1939

German logician, philosopher, and theologian.

Box 4
Schreier, Otto, 1921-1928 and undated

Austrian mathematician.

Topic(s): Routine exchange; miscellaneous mathematical discussions; comments on university classes and publications

Box 4
Schröter, Karl, 1955-1969

German mathematician.

Topic(s): Journal "Zeitschrift fuer Mathematische Logik und Grundlagen der Mathematik"; conference invitation

Box 4
Schweizer, Berthold, 1953-1974 and undated

Mathematician; student of Karl Menger. Some outgoing correspondence.

Topic(s): Routine exchange; miscellaneous mathematical discussions; comments on publications; includes some photocopies of publications by others

Box 4
Sierpiński, Waclaw, 1926-1933

Polish mathematician.

Box 4
Simon and Schuster, Inc. Publishers, 1959 and undated

Some outgoing correspondence.

Topic(s): Correspondance about a possible book publication

Box 4
Skala, Helen, 1968-1972 and undated

Mathematician; student of Karl Menger. Some outgoing correspondence.

Topic(s): Routine exchange; miscellaneous mathematical discussions

Box 4
Sklar, Abe, 1962-1981 and undated

American mathematician; colleague of Karl Menger at Illinois Institute of Technology.

Topic(s): Routine exchange; algebraic discussions

Box 4
Springer Verlag, 1934-1981 and undated

Viennese publishing house; some outgoing correspondence

Topic(s): Correspondance about the publication and English translation of Menger's "Moral, Wille und Weltgestaltung" and about the publcation of a memorial volume for Mortiy Schlick

Box 4
Sugar, Alvin C., 1955-1963

Topic(s): Thermodynamics, relativity

Box 4
General correspondence, "S," 1921-1982 and undated

Other correspondents with last name beginning with S. Some outgoing correspondence.

Box 4
Tarski, Alfred, 1930-1953

Polish logician, mathematician, and philosopher.

Topic(s): Invitation to Vienna; comments on a articles by Tarski and Menger

Box 4
Taussky-Todd, Olga, 1929-1981 and undated

Austrian-American mathematician; member of Menger's Mathematical Colloquium.

Topic(s): Abelian group; group theory; comments on manuscripts; routine exchange

Box 4
Trillas-Ruiz, Enrique, 1967-1977

Spanish mathematician. Some outgoing correspondence.

Box 4
General correspondence, "T," 1926-1977 and undated

Other correspondents with last name beginning with T. Some outgoing correspondence.

Box 4
Unidentified correspondents, 1921-1982 and undated
(3.0 folders)

Some outgoing correspondence.

Topic(s): Unidentified correspondents, 3 folders: 1921-1949; 1950-1982; undated

Box 4
Veblen, Oswald, 1930-1942

American mathematician.

Topic(s): Routine exchange; business exchange

Box 5
Ville, Jean André, 1935-1951

French mathematician.

Box 5
General correspondence, "V," 1936-1960

Other correspondents with last name beginning with V.

Box 5
Waerden, Bartel Leendart van der, 1929-1965

Dutch mathematician and historian of mathematics. Some outgoing correspondence.

Topic(s): Routine exchanges; business exchange

Box 5
Wald, Abraham, 1932-1938 and undated

Austro-Hungarian mathematician, decision theorist, econometrician, and geometer; member of Menger's Mathematical Colloquium.

Topic(s): Metric geometry; comments on papers; routine exchange; exchange about the Mathematical Colloquium; miscellaneous mathematical discussions

Box 5
Werba, Helmut, 1980-1981 and undated

Austrian philosopher. Some outgoing correspondence.

Topic(s): Exchange about a possible German publication of Menger's early writings on mathematics and philosophy

Box 5
Whyburn, Gordon Thomas, 1928-1937 and undated

American mathematician.

Topic(s): Comments on papers; routine exchange

Box 5
Wieser, Friedrich von, 1921

Austrian economist.

Topic(s): Carl Menger's death

Box 5
General correspondence, "W," 1926-1980 and undated

Other correspondents with last name beginning with W. Some outgoing correspondence.

Box 5
General correspondence, "Y," 1948-1949

Other correspondents with last name beginning with Y.

Box 5
Zellweger, Shea, 1976-1983 and undated

American psychologist and logician. Some outgoing correspondence.

Topic(s): Copy of Piaget (1952); comments on papers; mathematical discussions

Box 5
Zippin, Leo, 1930 and undated

American mathematician.

Topic(s): Routine exchange; mathematical discussions

Box 5
Zygmund, Antoni, 1952-1965 and undated

Polish mathematician; some outgoing correspondence

Topic(s): Routine exchange; comments on Menger's book "Calculus"

Box 5
General correspondence, "Z," 1929-1964

Other correspondents with last name beginning with Z.

Box 5

Writings and Research Series, 1921-1983 and undated

The Writings and Research Series includes drafts, proofs, notes, and published copies of Menger's books, articles, speeches, and other works, spanning his entire career. Files in each subseries are arranged chronologically by publication date.

Materials are written in German and English. Menger also used both German and English shorthand for his notes and writings, making translations difficult. A significant amount of unsorted material, largely consisting of loose pages with unidentified topics and writings, is filed in the Drafts and Proofs Subseries. Additionally, the Notebooks and Notes Series has a significant amount of material related to Menger's Writings and Research Series.

Kurventheorie, 1932

Incomplete

Box 6
Moral, Wille und Weltgestaltung, 1934
Box 6
Untitled (General Book on Mathematics), 1935/36
(3.0 folders)

Draft, unpublished

Box 6
Three Lectures on Mathematical Subjects, 1940
Box 6
Algebra of Analysis, 1944
Box 6
The Concept of a Function, 1948-1949

1st ed. (1948) and 2nd ed. (1949)

Box 6
Introduction to Calculus. Part I, 1950
Box 7
Understanding Calculus. Part I, 1950

Includes German draft (handwritten)

Box 7
Understanding Calculus. Part II, 1950
Box 7
You Will Like Geometry. A Guide Book for the lllinois Institute of Technology Geometry Exhibition at the Museum of Science and Industry, 1952-1961

First printing (1952) and third printing (1961); incl. a magazine article about the exhibition with a photograph of Karl Menger; incl. draft titled "A Geometric Exhibition"

Box 7
Calculus. A Modern Approach, 1952
(4.0 folders)

Includes draft

Box 7
Calculus. A Modern Approach, 2nd ed., 1953
(3.0 folders)

Includes draft

Box 8
Géométrie Générale, 1954
Box 8
Calculus. A Modern Approach, 1955

Draft, incomplete:; incl. "Remarks concerning my book Calculus"

Box 8
The Basic Concepts of Mathematics. A Companion to Current Textbooks on Algebra and Analytic Geometry. Part I. Algebra, 1956
(2.0 folders)
Box 8
The Basic Concepts of Mathematics. A Companion to Current Textbooks on Algebra and Analytic Geometry. Part I. Algebra, 1957
(2.0 folders)

2nd edition

Box 27
Calculus. The Elements. Introduction into Pre-Limit Calculus for Everyone, Chapter I + II, 1966-1967
(2.0 folders)

Chapter I (1966) and Chapter II (1967); incl. copies with comments (Chapter I) and draft of Chapter II

Box 27
Morality, Decision and Social Organization, 1974

1st and 2nd proof, draft

Box 27
Selected Papers in Logic and Foundations, Didactics, Economics, 1979

Incomplete; incl. draft and comments

Box 27
Reminiscences of the Vienna Circle and Mathematical Colloquium, Ch. I-III, 1994 and undated
(5.0 folders)

Drafts, edits

Box 9
Reminiscences of the Vienna Circle and Mathematical Colloquium, Ch. IV-XI, 1994 and undated
(9.0 folders)

Drafts, edits

Box 10
Reminiscences of the Vienna Circle and Mathematical Colloquium, Ch. XII--XVI, Memoires of Kurt Gödel, Miscellaneous and unidentified material, 1994 and undated
(8.0 folders)

Drafts, edits

Box 11
Biography of Carl Menger, undated
(10.0 folders)

Drafts

Box 28
Der Economist: Lebensmittelzuschüsse und Noteninflation, 1921

Published in "Neue Freie Presse," Vienna on November 17, 1921)

Box 12
Zur Dimensions- und Kurventheorie. Unveröffentlichte Aufsätze aus den Jahren 1921-1923, 1921-1923

Published in 1929, incl. draft

Box 12
Über die DimensionaIität von Punktmengen, I. Teil, 1923
Box 12
Einige Überdeckungssätze der PunktmengenIehre, 1924
Box 12
Über die Dimension von Punktmengen, 1924

Includes handwritten draft

Box 12
Über die Dimension von Punktmengen, II. Teil, 1924

Includes copy of handwritten draft

Box 12
Grundzüge einer Theorie der Kurven, 1925

Includes copy with comments

Box 12
Allgemeine Räume und Cartesische Raume I, II, 1926
Box 12
Bericht über die Dimensionstheorie, 1926
Box 12
Dimensionstheoretische Konsequenzen des Verhältnisses von allgemeinen Räumen und Zahlenräumen, 1926
Box 12
Über geodätische Linien in allgemeinen metrischen Räumen, 1926
Box 12
Über reguläre Baumkurven, 1926
Box 12
Zur allgemeinen Kurventheorie, 1926

Includes copy with comments

Box 12
Zur Entstehung meiner Arbeiten über Dimensions- und Kurventheorie, 1926

Includes copy with comments

Box 12
Bemerkungen zur zweiten Untersuchung über allgemeine Metrik, 1927
Box 12
Das Hauptproblem über die dimensionelle Struktur der Räume, 1927
Box 12
Die Haupttheoreme der Dimensionstheorie, 1927
Box 12
Zusammenhangsstufen und Cantorsche Mannigfaltigkeiten, 1927
Box 12
Bemerkungen zu Grundlagenfragen I-IV, 1928
Box 12
Der allgemeine Trennungssatz, 1928
Box 12
Die Metrik des Hilbertschen Raumes, 1928
Box 12
Die Halbstetigkeit der Bogenlänge, 1928
Box 12
Dimension und Zusammenhangsstufe, 1928

With W. Hurewicz

Box 12
Dimensionstheoretische Notizen IV, 1928
Box 12
Ein Theorem der Topologie, Dimensionstheoretische Notizen I-III, 1928

Two articles

Box 12
Ein Theorem über die Bogenlänge, 1928
Box 12
Metrische Untersuchungen, 1928
Box 12
Notizen zur Konvexitätstheorie, 1928
Box 12
Untersuchungen über allgemeine Metrik I-III, 1928
(2.0 folders)

Includes comments and inserts

Box 12
Die allgemeine Kurventheorie, 1929
Box 12
Allgemeine Räume und Cartesische Räume III. Beweis des Fundamentalsatzes, 1929
Box 12
Antwort auf eine Note von Brouwer, 1929
(1.0 folder)
Oversize-box 1
Dimensionstheoretische Notizen, 1929

Ein Zerlegungssatz für rational- und irrational-dimensionale Mengen; Über die nirgends dichten Teilmengen des Rn; Über die Summe regulärer Kurven

Box 12
Über die Dimension von Punktmengen III. Zur Begründung einer axiomatischen Theorie der Dimension, 1929

Includes copy with comments

Box 12
Über eine neue Definition der Bogenlänge. Eine weitere Verallgemeinerung des Längenbegriffes, 1929
Box 12
Über die Summe regulärer Kurven, 1929
Box 12
Zur Begründung einer axiomatischen Theorie der Dimension, 1929
Box 12
Antwort auf eine Note von Brouwer, 1930
Box 13
Axiomatische Einführung des Dimensionsbegriffes, 1930
Box 13
Bemerkungen über dimensionelle Feinstruktur und Produktsatz, 1930
Box 13
Der Intuitionismus, 1930
Box 13
Eine dimensionstheoretische Bemerkung von O. Schreier, 1930
Box 13
Einführung des Komplexes in die allgemeine Metrik, 1930
Box 13
Entwurf einer neuen Theorie des Maßes, 1930
Box 13
Otto Schreier. Nachruf, 1930

Obituary

Box 13
Remarques sur la theorie axiomatique de la dimension, 1930

With C. Kuratowski

Box 13
Über den n-Beisatz in lokal-zusammenhängenden Kontinua, 1930

With Georg Nöbeling

Box 13
Über die sogenannte Konstruktivität bei arithmetischen Definitionen, 1930
Box 13
Über einen Abstandsbegriff in Gruppen, 1930
Box 13
Über plättbare Dreiergraphen und Potenzen nichtplättbarer Graphen, 1930
Box 13
Untersuchungen über allgemeine Metrik Teil IV: Zur Metrik der Kurven, 1930
Box 13
Beiträge zur Gruppentheorie I. Über eine Gruppenmetrik, 1931
Box 13
Bericht über ein mathematisches Kolloquium 1929/30, 1931
Box 13
Bericht über metrische Geometrie, 1931

Includes copy with comments

Box 13
Ein Problem von Blaschke, 1931
Box 13
Eine neue Kennzeichnung der Geraden, 1931
Box 13
New Foundations of Euclidian Geometry, 1931
Box 13
Remarks Concerning the Paper of W. L. Ayres on the Regular Points of a Continuum, 1931
Box 13
Some Applications of Point Set Methods, 1931
Box 13
Über den Konstruktivitätsbegriff. Zweite Mitteilung, 1931
Box 13
Eine Zuschrift von Karl Menger an Hans Hahn betreffend Mengers Antwort auf eine Note von Brouwer, 1932
Box 13
Neuere Methoden und Probleme der Geometrie, 1932
Box 13
Über die Hinweise auf Brouwer in Urysohns Memoire, 1932
Box 13
Die neue Logik, 1933
Box 13
Über den imaginären euklidischen Raum, 1933
Box 13
Vorwort und Nachwort zu: Fünf Wiener Vorträgen (Krise und Neuaufbau in den exakten Wissenschaften, Alte Probleme - Neue Lösungen in den exakten Wissenschaften), 1933-1934

Preface and epilogue

Box 13
Bericht über neueste Ergebnisse der metrischen Geometrie, 1934
Box 13
Bemerkungen zu: Das Unsicherheitsmoment in der Wertlehre, 1934
Box 13
Das Unsicherheitsmoment in der Wertlehre. Betrachtungen in Anschluß an das sogenannte Petersburger Spiel, 1934

Includes printed and early handwritten drafts

Box 13
Ist die Quadratur des Kreises lösbar?, 1934
Box 13
Hans Hahn, 1935

Obituary

Box 13
Hans Hahn, 1935

Obituary

Box 13
Metrische Geometrie und Variationsrechnung, 1935
Box 13
Sull Indirizzo di Idee e sulle Tendenze Principali dei Colloquio Matematico di Vienna, 1935
Box 13
Sur un théorème général du calcul des variations, 1935

Includes comments

Box 13
Bemerkungen zu den Ertragsgesetzen, 1936

Includes draft

Box 13
Calcul des variations dans les espaces distanciés généraux, 1936
Box 13
Courbes minirnisantes non-rectifiables et champs généraux des courbes admissibles dans le calcul des variations, 1936
Box 13
Einige neuere Fortschritte in der exakten Behandlung sozialwissenschaftlicher Probleme, 1936

Includes comments

Box 13
Metric Methods in Calculus of Variations, 1936

Includes draft

Box 13
New Foundations of Projective and Affine Geometry, 1936

With F. Alt and O. Schreiber

Box 13
New Ways in Differential Geometry, 1936
Box 13
Vorwort zu: Friedrich Waismann; Einführung in das mathematische Denken, 1936

Preface

Box 13
Weitere Bemerkungen zu den Ertragsgesetzen, 1936
Box 13
A Note on a Previous Paper "New Foundations of Projective and Affine Geometry," 1937

With Franz Alt

Box 14
An Exact Theory of Social Relations and Groups, 1937

Includes copy with comments

Box 14
Die metrische Methode in der Variationsrechnung, 1937
Box 14
La géométrie des distances et ses relations avec les autres branches des mathématiques, 1937
Box 14
Metric Methods in Calculus of Variations, 1937
Box 14
Nouvelle démonstration de l'équation d'Euler-Lagrange, 1937

Marked as "incorrect", présentée par M. Élie Cartain

Box 14
The New Logic, 1937

Includes copy with comments

Box 14
What Is the Calculus of Variations and What Are Its Applications?, 1937

Includes copy with comments

Box 14
A Foundation of Projective Geometry, 1938
Box 14
A New Foundation of Non-Euclidean, 1938

Includes draft

Box 14
A Symposium on the Algebra of Geometry and Related Subjects, 1938
Box 14
An Abstract Form of the Covering Theorems of Topology, 1938

Includes copy with comments

Box 14
An Exact Theory of Social Groups and Relations, 1938
Box 14
Axiomatique simplifiée de l'algèbre de la géométrie projective, 1938
Box 14
Introduction to: L. M. BlumenthaI; Distance Geometries, 1938

Preface

Box 14
Non-Euclidean Geometry of Joining and Intersecting, 1938
Box 14
Nouvelle base pour le développement de la géométrie de Bolyai et Lobatchefski, 1938

Includes drafts with Helen Skala with comments

Box 14
Une forme abstraite du théorème de Borel-Lebesgue généralisé, 1938
Box 14
A Logic of the Doubtful. On Optative and Imperative Logic, 1939
Box 14
A Theory of Length and Its Applications to the Calculus of Variations, 1939
Box 14
On Cauchy's Integral Theorem in the Real Plane, 1939
Box 14
On Linear Sets in Metric Spaces, 1939

With Arthur N. Milgram

Box 14
On Necessary and on Suffieient Conditions in Elementary Mathematics, 1939
Box 14
On Green's Formula, 1940

Includes a presentation draft and a referee's report

Box 14
On Shortest Polygonal Approximations to a Curve, 1940
Box 14
Redundancies in the Classical Treatment of the Cailehy-Riemann Conditions, 1940
Box 14
Statistical Metrics, 1942
Box 14
Differential Equations, 1943

Includes drawing of Karl Menger

Box 14
What is Dimension?, 1943
Box 14
On the Relation Between Calculus of Probability and Statistics, 1944
Box 14
On the Teaching of Differential Equations, 1944
Box 14
Projective Generalizations of Metric Geometry, 1944
Box 14
Tri-Operational Algebra, 1944
Box 14
Why Study Mathematics?, 1944
Box 14
Définition intrinsèque de la notion de chemin, 1945
Box 14
Methods of Presenting e and π,, 1945
Box 14
Analysis without Variables, 1946
Box 15
General Algebra of Analysis, 1946
Box 15
General Algebra of Analysis, 1946

Includes two copies with comments

Box 15
Aristotelian Demonstration and Postulational Method, 1948

With Yves R. Simon, incl. a presentation draft

Box 15
Fundamental and Applied Research in Geometry, 1948
Box 15
Independent Self-Dual Postulates in Projective Geometry, 1948
Box 15
Stieltjes Integrals Considered as Lengths, 1948

Includes draft

Box 15
The Topology of the Triangle Inequality, 1948
Box 15
Are Variables Necessary in Calculus?, 1949

Includes two copies with comments

Box 15
Generalized Vector Spaces. I. The Structure of Finite-Dimensional Spaces, 1949
Box 15
La géométrie axiomatique de I' espace projectif, 1949
Box 15
Modem Geometry and the Theory of Relativity, 1949
Box 15
Self-Dual Fragments of the Ordinary Plane, 1949
Box 15
What Paths Have Length?, 1949
Box 15
The Mathematics of Elementary Thermodynamics, 1950
Box 15
The Projective Space, 1950
Box 15
Ensembles flous et fonctions aléatoires, 1951

Présentée par M. Arnaud Denjoy

Box 15
Espaces vectoriels généraux, topologies triangulaires, transformations linéaires généralisées, 1951

Présentée par M. Arnaud Denjoy

Box 15
Probabilistic Geometry, 1951

Includes copy with comments

Box 15
Probabilistic Theories of Relations, 1951
Box 15
A Topological Characterization of the Length of Paths, 1952
Box 15
The Formative Years of Abraham Wald and his Work in Geometry, 1952
Box 15
Une théorie axiomatique générale des déterminants, 1952
Box 15
On the Design of Grouping Problems and Related Intelligence Tests, 1953

Includes copy with comments

Box 15
The Ideas of Variable and Function, 1953

Includes copy with comments

Box 15
A Simple Definition of Analytic Functions and General Multi-Functions, 1954
Box 15
Is Calculus a Perfect Tool?, 1954

Includes draft

Box 15
On Variables in Mathematics and in Natural Science, 1954

Includes draft

Box 15
The Logic of the Laws of Return. A Study in Meta-Economics, 1954

Includes copy with comments

Box 15
Tossing a Coin, 1954

Includes copy with comments

Box 15
Variables de diverses natures, 1954
Box 15
Die Relativitätstheorie und die Geometrie, 1955

Galley Proofreading (1. Fahnenkorrektur)

Box 15
Generalized Derivates and Expansions, 1955

With S. S. Shü; incl. draft and copy with comments

Box 15
Random Variables from the Point of View of a General Theory of Variables, 1955

Draft

Box 15
The Behavior of a Complex Function at Infinity, 1955

Includes Drafts

Box 15
Calculus 1950 - Geometry 1880, 1956
Box 15
Integrals of Functions and Cumulations of Fluents, 1956

Includes rejection letter by journal

Box 15
On the Formulation of Certain Arithmetical Questions, 1956

With H. J. Curtis

Box 15
What Are Variables and Constants?, 1956
Box 15
What Are x and y?, 1956
Box 15
Why Johnny Hates Math?, 1956

Includes draft

Box 15
Multiderivatives and Multi-Integrals, 1957

Includes draft and two copies with comments

Box 15
How to Find Areas and Slopes Geometrically, 1958
Box 16
Is w a Function of u?, 1958
Box 16
New Approach to Teaching Intermediate Mathematics, 1958

Includes copy with comments

Box 16
Optimal Differences in Computing Probable Derivatives, 1958

Includes draft

Box 16
Rates of Change and Derivatives, 1958
Box 16
An Axiomatic Theory of Functions and Fluents, 1959

Includes draft

Box 16
Gulliver in the Land Without One, Two, Three, 1959
Box 16
Mensuration and Other Mathematical Connections of Observable Material, 1959
Box 16
On Probabilistic Metrics and Numerical Metrics with Probability I, 1959

With Berthold Schweizer und Abe Sklar

Box 16
A Counterpart of Occam's Razor in Pure and Applied Mathematics. Ontological Uses, 1960
Box 16
Areas. Numerical Methods, 1960
Box 16
Gulliver in Applyland, 1960
Box 16
Gulliver's Return to the Land Without One, Two, Three, 1960

Includes copy with comments

Box 16
Introduction to: Ernst Mach; The Science of Mechanics, 6th American Edition, 1960

Preface; incl. copy with comments

Box 16
Science in Institutes of Technology, 1960
Box 16
A Counterpart of Occam's Razor in Pure and Applied Mathematics. Semantic Uses, 1961
Box 16
Eine Algebra der Funktionen, 1961
Box 16
Frammenti piani autoduali e relative sostituzioni, 1961
Box 16
The Algebra of Functions: Past, Present, Future, 1961
Box 16
Variables, Constants, Fluents, 1961

Includes drafts

Box 16
What is Length?, 1961

With Frank Henmüller

Box 16
A Group in the Substitutive Algebra of the Calculus of Propositions, 1962

Includes draft and copy with comments

Box 16
Function Algebra and Propositional Calculus, 1962

Includes draft and three copies with comments

Box 16
On Compositive Functions of Matrices, 1962
Box 16
A Self-Dual Theory of Real Determinants, 1963

With Frank Kozin; incl. draft

Box 16
Postulates for the Substitutive Algebra of the 2-Place Functors in the 2-Valued Calculus of Propositions, 1963

With Martin Schultz, incl. draft with comment

Box 16
A New Introduction of Analytic Functions and Riemann Surfaces, 1964

Includes comments, draft returned from Journal

Box 16
Generalized Martix Inverse, 1964
Box 16
On Substitutive Algebra and Its Syntax, 1964

Includes copy with comments

Box 16
Superassociative Systems and Logical Functors, 1964
Box 16
600-Jahr-Feier der Wiener Universität, 1965

Draft of requested submission to "Die Presse: Unabhängige Zeitung für Österreich." Includes letter requesting Karl Menger write a recollection of his time spent studying there. Also includes a short biography of Menger to accompany the short text.

Box 16
A Characterization of Weierstrass Analytic Functions, 1965

Includes commented draft (incomplete)

Box 16
Analytische Funktionen, 1965

Includes a longer draft titled "Drei Bermerkungen zu Gedanken von Weierstrass"

Box 16
Une caractérisation des fonctions analytiques, 1965

Includes copies with comments

Box 16
Two Theorems on the Generation of System of Functions, 1966

With H. Ian Whitlock

Box 16
Weierstrass Analytic Functions, 1966

Includes drafts and copy with comments

Box 16
The Role of Uncertainty in Economics, 1967
Box 16
General Algebraic Equations and Functional Equations, 1968
Box 16
Mathematical Implications of Mach's ldeas: Positivistic Geometry. Clarification of Functional Connections, 1970

Includes draft

Box 17
Studies in Geometry, 1970

With Leonard M. Blumenthal, Draft Abstract

Box 17
The Geometry Relevant to Modern Education, 1971

Includes draft

Box 17
The New Foundation of Hyperbolic Geometry, 1971

Includes copy with comments

Box 17
Bericht über metrische Geometrie, 1972
Box 17
Österreichischer Marginalismus und mathematische Ökonomie, 1972

Includes extract with comments and incomplete draft

Box 17
Austrian Marginalism and Mathematical Economics, 1973

Includes incomplete draft

Box 17
Wittgenstein betreffende Seiten aus einem Buch über den Wiener Kreis, 1978
Box 17
Language and Mathematics, 1979

Includes draft and copy with comments

Box 17
Introduction to: Hans Hahn; Empiricism, Logic and Mathematics, 1980

Preface

Box 17
On the Origin of the n-Arc Theorem, 1981

Includes photograph of Karl Menger

Box 17
Memories of Moritz Schlick, 1982

Includes copy with comments

Box 17
On Social Groups and Relations, 1983
Box 17
A Generalization of the Concept of Differentiation and Its Application to Jacobi's Series (and the Taylor's Series), undated

With S. S. Shü; incl. comments

Box 17
A Generalization of the Concept of Differentiation and Related Topics, undated

With S. S. Shü; incl. comments and draft

Box 17
A New Approach to Analytical Mechanics, undated

Includes copy with comments

Box 17
A Parameter-Free Introduction of Certain Manifolds / An Introduction of Certain Manifolds Without Assuming Parametrization, undated

Two titles

Box 17
A Plane Presentation of Complex Functions and Their Composition, undated

With Appendices by J. and L. Frazin and R. Jindrich, incl. draft

Box 17
A Simple Description of the Projective Plane, undated
Box 17
A Simplification of the Use of Laplace Transforms, Especially in Solving Differential Equations, undated
Box 17
An Estimation of the Rate of a Gaussian Process, undated

Includes an incomplete copy with comments

Box 17
Analytic Geometries and the New Theory of Variables, undated

Includes draft with comments

Box 17
Dérivées Partielles Strictes, Paradérivées et les Conditions de Cauchy-Riemann, undated

Includes comments

Box 17
Einige Sätze der Abstrakten Mengenlehre und ihre Anwendungen, undated

Includes comments

Box 17
Intuitionismus und Formalismus, undated

Handwritten

Box 17
Is ∫cos x dx = ∫ cos y dy? Yes and No, undated

Includes comments

Box 17
Mathematical Study of Underground Movements, undated

With H. Ian Whitlock, Preliminary Report; incl. draft

Box 17
Memories of Beatrice Pearson de Lany, undated
Box 17
My Memories of the Early Days of I.I.T., undated

Includes copies with comments

Box 17
On Probably Optimal Differences in Differential Calculus, undated
Box 17
On the Pictorial Representation of Sets of Physical Objects, undated
Box 17
Outline of a Theory of Ortho-Planes, undated

Incomplete

Box 17
Postulational Method, undated
Box 17
Raising Funds for Common Enterprises, undated
Box 18
Razor and Separator, undated

Incomplete

Box 18
Remarks about the New Foundation of Hyperbolic and Related Geometries, undated
Box 18
Resumé of the Theory of Variables and Fluents, undated
Box 18
Substitutive Function Algebra and the Calculus of Propositions, undated

Includes copies with comments and draft

Box 18
The Application of Analysis to Physical Science, undated
Box 18
The Derivative of a Function, undated
Box 18
The Geometry of the Man in the Street, undated

Incomplete

Box 18
The Raising of Funds for Joint Purposes, undated
Box 18
The Semantics of Mathematical Analysis and Its Application to Science, undated
Box 18
Über die Gedankenrichtung und die Haupttendenzen des Wiener mathematischen Kolloquiums
Box 18
Über die Nulldimensionalen Mengen, undated
Box 18
Über die Stetigen Bilder der Strecke, undated
Box 18
Untitled (On Differential Equations and Their Teaching), undated (probably 1974)
Box 18
Untitled (On Social Groups), undated

Includes copy with comments

Box 18
Untitled (On Theories), undated

In German; includes handwritten draft

Box 18
Untitled (1. Eine Extentionale Wertlehre, 2. Exakte Aussagen über Menschengruppen, 3. Quantitative Aussagen über Willensgruppen), undated (probably 1934-1936)

Includes comments

Box 18
Untitled, incomplete works by Menger, undated

Includes two articles

Box 18
What Does Democracy Mean?, undated

Incomplete

Box 18
Витгенщайн за Формулите и променливите, undated

Incomplete

Box 18
The Teaching of Intermediate Mathematics, 1958

From an Address to the Illinois Section of the Mathematical Association of America

Box 18
What is x?, 1959-1961

Summary of Talks before the I.I.T. Mathematics Institute for Secondary School Students of High Ability

Box 18
Remarks on the Algebra of Functors, 1962

Conference on Self-Organizing Systems, Museum of Science and Industry, Chicago, Ill.

Box 18
Some Thoughts About the History and the Teaching of Mathematics, 1980

Presented at Valparaiso University, Indiana

Box 18
Untitled (About the History and Didactics of Mathematics), undated
Box 18
Untitled (On Modern Mathematics), undated
Box 18
Untitled (Vortrag über Intuitionismus / Presentation on Intuitionism), undated
Box 18
Review of: A. Fraenkel; Einleitung in die Mengenlehre, 1929
Box 18
Review of: E. Kamke; Mengenlehre, 1930
Box 18
Review of: Edwin A. Abbott; Flächenbrand. Eine Geschichte von den Dimensionen Erzählt von einem Quadrat, 1930
Box 18
Review of: J. Tinbergen; Minimumsproblemen in de Naturkunde en de Ekonomie, 1930
Box 18
Review of: Jahrbuch über die Fortschritte der Mathematik, 1932
Box 18
Review of: Witold Hurewicz and Henry Wallman, Dimension Theory, 1942
Box 18
Review of: Lucienne Félix; The Modern Aspect of Mathematics, 1962
Box 18
Review of: Contributions to the Theory of Riemann Surfaces, 1953, undated

Draft

Box 18
Reviews of: Dimensionstheorie, 1929-1931
Box 18
Reviews of: Ergebnisse eines Mathematischen Kolloquiums, 1933-1936

Reviews of Heft 1, Heft 3 and Heft 6

Box 18
Reviews of: Kurventheorie, 1932-1935
Box 18
Reviews of: Krise und Neuaufbau in den Exakten Wissenschaften, 1933
Box 18
Reviews of: Moral, Wille und Weltgestaltung, 1934-1936

Includes a list of reviews

Box 18
Reviews of: The New Logic, 1937
Box 18
Reviews of: You Will Like Geometry, 1952
Box 18
Reviews of: Calculus. A Modern Approach, 1953-1955 and undated
Box 18
Reviews of: The Basic Concepts of Mathematics. Part I. Algebra, undated
Box 18
Reviews of: Bericht über Metrische Geometrien, 1973
Box 18
Reviews of: Calculus 1950 - Geometry 1880, 1958

Russian

Box 18
Reviews of: Selected Papers in Logic and Foundations, Didactics, Economics, 1980 and undated
Box 18
Biography of Carl Menger, undated

Incomplete

Box 19
Advertisment for Menger's Publications, 1927-1979
Box 19
Articles about Menger, 1957-1987 and undated

Includes newspaper articles, orbituary, reports on presentations

Box 19
Articles Collected by Menger, 1937-1979 and undated

A variety of newspaper clippings, photocopies, book reviews and articles relevant to Menger and his research.

Box 19
Books edited by Menger, 1941-1942

Reports of a Mathematical Colloquium, Second Series, Issue 3 + 4

Box 19
Lists of Menger's Publications, undated

Includes comments

Box 19
Interview mit Professor Dr. Karl Menger, 1978

Interview by Werner Schimanovich and Peter Weibel

Box 19
What Mathematics is Really Like, Round Table Discussion on Radio Station WBIK; Karl Menger, Gordon Pall, Haim Reingold, S. S. Shu, L. R. Wilcox, 1952
Box 19
Scalar Functions of Matrices, Report to Office of Naval Research, Submitted by Deparment of Mathematics, I.I.T., Project Director: Karl Menger, 1953-1954

Proposal and final report

Box 19
Funktionsalgebra und Ihre Beziehungen zu Verwandten Theorien, Graz, 15. September 1964, 1964
Box 19
Drafts and proofs, undated
(81.0 folders)

Miscellaneous unsorted and undated drafts and proofs in English and German. Some shorthand used.

Box 40-44
Drafts and proofs, undated
(11.0 folders)

Miscellaneous unsorted and undated drafts and proofs.

Box 49

Writings by Others

Arrangement

Loosely arranged alphabetically.

"A"
(4.0 folders)

Including János Aczél, Pawel S. Alexandroff, Nachman Aronszajn, Kenneth J. Arrow

Box 20
"Ba"
Box 20
"Be"
(5.0 folders)

Including Gustav Bergmann, Richard Bellman, Paul A. Benioff, Mary Katherine Bennett

Box 20
"Bl"
(2.0 folders)
Box 20
"Bo"
Box 20
"Br"
(2.0 folders)
Box 20
"Bu"
Box 20
"Ca"

Including Rudolf Carnap

Box 20
"Ce"
Box 20
"Ch"
(2.0 folders)

Including Alonzo Church

Box 20
"Cl-Cz"
(3.0 folders)
Box 21
"D"

Including John W. Dawson

Box 21
"E"
(4.0 folders)

Including Hans Eckstein

Box 21
"F"
(6.0 folders)

Including Solomon Feferman, Maurice René Fréchet, Burton D. Fried, Philipp Furtwängler

Box 21
"G"
(5.0 folders)

Including Eugene Garfield, Kurt Gödel, Adolf Grünbaum

Box 21-22
"Ha"
(5.0 folders)

Including Gottfried Haberler, Hans Hahn, Preston C. Hammer, Norwood Russel Hanson, Frank Harary, John C. Harsanyi, Friedrich August von Hayek

Box 22
"He"
Box 22
"Hi"

Including John Hicks, David Hilbert

Box 22
"Ho"

Including Gerald Holton, Hans Hornich

Box 22
"Hu"
(3.0 folders)

Including Edward V. Huntington, Witold Hurewicz

Box 22
"I-J"
Box 22
"K"
(4.0 folders)

Including Stuart Kauffman, Mead C. Killion, Stephen C. Kleene, Leopold Kronecker, Harold William Kuhn

Box 22
"L"
(6.0 folders)

Including Donald Charles "Don" Lavoie, Werner Leinfellner, Kenneth O. Leland, Justus von Liebig, Robert Duncan Luce, Günther Ludwig, Wilhelmus Luxemburg

Box 23
"Ma"
(2.0 folders)

Including Ernst Mach

Box 23
"Mc"

Including Warren S. McCulloch

Box 23
"Me"
(3.0 folders)

Including Hilda Menger, Karl Stephan Menger (Karl S. Menger, Jr.), Fredric M. Menger

Box 23
"Mi"

Including John Stuart Mill

Box 23
"Mo"
(2.0 folders)

Including Theodor Molien, Oskar Morgenstern

Box 23
"N"

Including John von Neumann, Allen Newell, Georg Nöbeling

Box 23
"O"

Including Robert F. O'Connell, Rufus Oldenburger

Box 23
"P"
(4.0 folders)

Including Bodo Pareigis, Solomon Passy, Max Planck, Johannes Poinsot (John of St. Thomas), Karl Popper, Hilary Putnam

Box 23-24
"Q"

Includes Willard Van Orman Quine

Box 24
"R"
(4.0 folders)

Including Haim Reingold, Marcel Riesz, Kurt W. Rothschild, Erzherzog Rudolf (Kronprinz von Österreich-Ungarn)

Box 24
"Sa"

Including Eike von Savigny

Box 24
"Sc"
(6.0 folders)

Including Werner Schimanovich, Jürgen Schmidt, Jan A. Schouten, Otto Schreier, Erwin Schrödinger, Berthold Schweizer

Box 24
"Se-Sh"
(3.0 folders)

Including Lloyd S. Shapley, Henry M. Sheffer, Roger N. Shepard

Box 24
"Si"

Including Carl Ludwig Siegel, Wacław F. Sierpiński, Herbert A. Simon

Box 25
"Sk"

Including Helen Skala, Abe Sklar

Box 25
"Sm"
Box 25
"So-Sp"
Box 25
"St"

Including David Ramsay Steele, Stanley Smith Stevens, Erich W. Streissler, Karl Strubecker

Box 25
"Su-Sz"
Box 25
"T"
(3.0 folders)

Including Alfred Tarski, Olga Taussky-Todd, Edward O. Thorp, Gerhard Tintner

Box 25
"U"

Including Pawel S. Urysohn (Paul Urysohn)

Box 25
"V"

Including Harry S. Vandiver

Box 25
"W"
(6.0 folders)

Including Friedrich Waismann, Abraham Wald, Hao Wang, Harrison C. White, Gordon Thomas Whyburn, Norbert Wiener, Friedrich von Wieser, Eugene P. Wigner

Box 25
"X"
Box 25
"Z"
(2.0 folders)

Including Shea Zellweger, Heinz Zemanek

Box 25
Unidentified authors
(32.0 folders)
Box 25-26

Notebooks and Notes

This series includes both bound volumes and loose pages of notes, largely kept by Menger (with one subseries of Notebooks by Others). The notebooks' topics are included when known, although Menger appears to have used his notebooks haphazardly and as-needed, resulting in several topics concurrently present in the same notebook.

Miscellaneous German notebooks

Titles and topics include: "Kottler: Theorien der Materie," "Mechanik fester Körper," "Axiomatik des Wünschens," "Galoische Theorie," "Carathéodory: Variationsrechnung in Frank-Mises 2. Auf.," "Generelle Vereinbarkeit," "Distributivgesetz," "Theorie der Einheiten algebraischer Körper"

Box 29
Folder 1
Miscellaneous German notebooks

Titles and topics include: "Kombin. Topol.," "Hyperkomplexe Zahlen," "Transformationen & ihre Zusammensetzung," "Übertragung der elementaren Zahlentheorie," "Orthogonalsysteme," "Lense," "Lense II," "Zahlenkörper," "Logik, Erkenntnistheorie: ihre Bedeutung für die Philosophie," "Statistische Mechanik," "Plato"

Box 29
Folder 2
Miscellaneous German notebooks
(,)

Titles and topics include: "Der Körper K(i)," "regressiv und dominant," "Reidemeister," "Reidemeister II," "Geschid. Math: Transendenz von e & π," "Differentialgeometrie," "Mathem. Probleme," "Hyperkomplexe Zahlen"  

Box 29
Folder 3
Miscellaneous German notebooks

One larger notebook comprised of smaller notebooks and loose notes. Topics and titles include: "Ex. Wissensch.," "Gleichmäßige Aufbringung im Aufbringerkreis," "Spenden und Zwangsabgaben"

Box 29
Folder 4
Miscellaneous German notebooks

One larger notebook comprised of smaller notebooks and loose notes. Topics and titles include: "Courant Hilbert: Methoden d. mathem. Physik," "Raum," "Vorgelegter Raum," "Positiv fastmetrischer Raum," "Eulersche Gleichung"

Box 46
Looseleaf philosophy notes, removed from at least 2 notebooks
Box 46
Arbeiten aus Studentenzeit: Einfachheitsproblem.
Box 46
"Kolloquiumhefte Rechnungen." Tables of costs with occasional dates (1933-1936).
Box 46
Notebooks, including "A New Introduction to D.E.s with an Appendix" 
Box 30
Folder 1
Miscellaneous English notebooks

Titles and topics include: "Operation Methods," "3 valued 2 place sets," "History new and final for k=3,4 m=2," "n valued 2 place 3 place," "3- & 4-valued," "Tensor Calc," "Tensor," "Theory of Triples," "Complex Functions: A New Approach"

Box 30
Folder 2
Miscellaneous English notebooks

Titles and topics include: "Wald seq.," "Conchoid of Nicomedes," "Real analysis" 

Box 30
Folder 3
Miscellaneous English notebooks

Titles and topics include: "Sierpinski's idea of weak dimension, etc.," "Topology of domain," "Limits, Theory of Limits"

Box 30
Folder 4
Miscellaneous English notebooks

Titles and topics include: "Carathéodory Theory," "Operators," "Diff. Eqs"

Box 30
Folder 5
Notebooks in shorthand
(12.0 folders)

Miscellaneous notebooks in German and English shorthand. Untitled and undated.

Box 31-32
Miscellaneous notes, in English and German
Box 49
Course Notes, 1920s
(1.0 folder)

Notebooks filled with Menger's personal notes from courses he took. Some dated, some undated. Titles and topics include: "Zentralprojektion (undated)," "Thirring: Thermodyn. (undated)," "Thirring: Kinetische Gastheorie (undated)," "Furtwängler: Gruppentheorie (1920-21)," "Furtwängler: Theorie der algebraischen Gleichungen (1920-21)," "Furtwängler: Zahlentheorie (1921)," "Furtwängler: Analytische Zahlentheorie (undated)"

Box 33
Lecture Notes, 1930s-?
(1.0 folder)

Notebooks filled with Menger's notes for courses he taught. Some dated, some undated. Titles and topics include: "Analytische Geometrie (1935-36)," "Reelle Funktionen (1936-37)," "Farbenlehre (1936-37)," "Differentialgeometrie (1936-37)," "Reasons for teach. econ. (undated)"

Box 33
Diaries, 1917-1922

One notebook dated 1917 containing collected quotes and ideas. A set of diaries numbered 1-3. Diary 1 begins December 15, 1918 and ends December 31, 1919. Diary 2 begins January 1, 1920 and ends December 31, 1921. Diary 3 covers parts of 1922.

Box 33
Autobiographical Writings
(2.0 folders)

A number of undated notebooks containing various recollections of Menger's life. Some of the writing is illegible or in an unknown shorthand. Years mentioned in the recollections include 1905, 1908, 1913, 1918, 1932, and 1934.

Box 33
Axamit, Hilda, 1933-1934
(2.0 folders)

Notebooks filled with Hilda Axamit's student notes from courses taught by Karl Menger and Hans Hahn from 1933-1934.

Box 34
Hahn, Hans, 1912-1929 and undated
(1.0 folder)

A larger notebook containing several smaller notebooks written by Hans Hahn. Notebooks include: "Die Anfänge der Variationsrechnung (undated)," "Mengenfunktionen, Integration, Differentiation (taught in WS 1928/29 and SS 1929)," "Variationsrechnung (taught WS 1912/13 and SS 1913)," "Variationsrechnung (undated)," "Proseminar: [?] Spiele (undated)"

Box 34
Schreier, Otto, undated
(1.0 folder)

Photocopy of handwritten version of Otto Schreier's article "Über die Erweiterung von Gruppen." Perhaps part of his 1923 dissertation under Prof. Furtwängler.

Oversize-box 1
Unknown Authors, 1923; 1930; undated
(1.0 folder)

Notebooks in unidentifed hands. Titles include: "Leuses Differentialgeometrie Teil II (SS 1923)," "Differentialgeometrie (presumably Teil I, but cover is missing)," "Differential und Integral [?] II (1930) (author's first name and last initial on first page but illegible)," On the Generalized Method of Summation (undated) (appears to be an English-German translation)," "Theorem: Zu jedem metrischen Quadrupel Q gibt es höchstens zwei Kügelflächen in die dasselbe einbettbar ist (penned by J. Groiß?)

Box 34
Looseleaf research notes in German, English, and shorthand, undated
(38.0 folders)

In Folder 8, there are a large number of notes written on the back of printed material from 1918.

Box 35-39

Academia

The Academia Series includes materials from Menger's teaching and professional engagement, including lecture notes, syllabi, exams, and course handouts; work by his students; conference announcements and proceedings; and other reports and materials accumulated during his career as a professor.

Problem sets, exercises, course handouts, printed materials, and teaching notes, 1937-1972 and undated
(21.0 folders)

Includes portions of Boston College Mathematical Series Co-op Unit Study Program by Stanley Bezuszka (1960-61) Course 1; Problem sets for the College Entrance Examination Board's Advanced Placement Exam in Mathematics; Part of an address to the Illinois Section of the Mathematical Association of America on teaching high school math by Karl Menger (May 10, 1958); Grant proposal to National Science Foundation for developing curriculum for Pre-Limit Calculus (1962); two short pieces by Karl Menger entitled "A New Approach to the Teaching of Intermediate Mathematics" and "Substitutive Function Algebra and the Calculus of Propositions"; test questions on half-sheets of paper sent to the Science Research Associates and the Professional Examination Service; numerous other publications and printed materials about teaching of mathematics in secondary and undergraduate education.

Box 45
Broadside: "Die Lehrtätigkeit der Unwissenden und der Unfähigen auf einem Gebiete des deutschen Unterrichtswesens," undated
Box 45
Various testing materials, including tests for the Future Engineers of America Tournament, 1959-60 and undated
Box 45
Various teaching material and notes., undated
Box 45
Miscellaneous notes by Menger's students, undated
Box 45
Student work by Eric Bajars, 1964-68

Notes and dissertation draft written by one of Menger's students, Eric Bajars.

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Student dissertations, 1933, 1946

Otto Schreiber (1933). Vincent J. Cushing "Mathematics of Thermodynamics" (1946).

Box 47
Various conference announcements, 1935-1984 and undated
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Various conference proceedings, 1961-1978 and undated
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Special Notes by K.M., provided to various institutions, 1937, 1954, 1959 and undated
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Miscellaneous memos, reports, and agendas, 1937-1979 and undated
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Carl Menger Papers

The Carl Menger Series consists of files created and maintained by Karl Menger's father, the economist. The series includes correspondence, arranged alphabetically by correspondent, as well as writings and miscellany. Additional materials about Carl Menger can be found in the Carl Menger Papers, also held by the Rubenstein Library.

Böhm-Bawerk, correspondence, 1910-1913
Box 48
Conrad, Johannes, correspondence, 1900-1909
Box 48
Mataja, Viktor, correspondence, 1910-1921
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Montemartini, Giovanni, correspondence, 1909-1913
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Sax, Emil, correspondence, 1900-1916
Box 48
Schüller, Richard, correspondence, 1912-1921
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Schumpeter, Joseph, correspondence, 1911-1918
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Spann, Othmar, correspondence, 1909-1920
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Wicksell, Knut, correspondence, 1920-1921
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Wiesner, Julius, correspondence, 1912-1916
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Wolf, Julius, correspondence, 1908-1913
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Zuckerkandl, Robert, correspondence, 1900-1921
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Miscellaneous letters to Carl Menger, 1882-1920
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Writings

Several pieces by Carl Menger including a copy of Emil Kauder's edition of Menger's "Grundsätze" commissioned by the University of Hitotsubashi in Tokyo that shows Menger's notes alongside the published text.

Box 48
Miscellaneous academic documents, 1896, 1900

One document in Czech and one in Latin conferring honors on Carl Menger.

Box 48
Clippings, 1894-1906 and undated

Miscellaneous clippings related to Carl Menger.

Box 48
Biographical Information, 2000

Photocopies of information requested by Berthold Schweizer regarding Karl Menger and the V-12 Program. Provided by Angie Kindig at the Archives of the University of Notre Dame.

Box 48
Clippings, Keepsakes, 1872, 1925, and undated

Miscellaneous clippings and keepsakes including student records, caricatures, and watercolor painting.

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Copyright Materials, 1956-1966

Certificates of Registration of a Claim to Copyright

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Financial Papers, 1934-1969
(4.0 folders)

Miscellaneous financial records.

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Interview with Bonnie Schulman and Abe Sklar, 2006

Tapes and transcript of interview with Bonnie Schulman and Abe Sklar reminiscing on Karl Menger.

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Photographs, undated
(1.0 folder)

A small collection of personal photographs.

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Historical Note

Date Event(s)
1902 Born in Vienna
1920-1924 Studied at the University of Vienna; Ph.D. in Mathematics
1925-1927 Docent at the University of Amsterdam
1927-1936 Professor of geometry at the University of Vienna. Member of the Vienna Circle.
1930-1931 Visiting lecturer at Harvard University and The Rice Institute
1931-1937 Founder of Ergebnisse eines Mathmatischen Kolloquiums
1935 Married Hilda Axamit
1937-1946 Professor of mathematics, University of Notre Dame. Founder of Reports of a Mathematical Colloquium, 2nd Series, and Notre Dame Mathematical Lectures
1946-1971 Professor of mathematics, Illinois Institute of Technology, Chicago
1951 Visiting lecturer at the Sorbonne, Paris
1961 Guest lecturer at several European universities
1964 Visiting professor, University of Arizona and Ford Institute, Vienna
1968 Visiting professor, Middle East Technical Institute, Ankara
1971 Professor emeritus, IIT
1975 Austrian Cross of Honor for Science and Art First Class
1983 Doctorate of Humane Letters and Sciences, IIT
1985 Died in Highland Park, Illinois

Karl Menger (1902-1985) was an Austrian-American mathematician and professor, and was the son of economist Carl Menger.

Subject Headings

Preferred Citation

[Identification of item], Karl Menger Papers, David M. Rubenstein Rare Book & Manuscript Library, Duke University.

Provenance

The Karl Menger Papers were received by the David M. Rubenstein Rare Book & Manuscript Library as a gift in 1995.

Processing Information

Initially processed by Keary Warner, August 1996; encoded by Walt Evans.

Reprocessed and enhanced by Scott Scheall, Reinhard Schumacher, and Janice Hansen in 2014.

Encoded by Meghan Lyon, October 2014.