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Karl Menger

    Moral, Wille und Weltgestaltung
    Ergebnisse eines Mathematischen Kolloquiums
    Selecta Mathematica II
    Selecta Mathematica I
    Selected Papers in Logic and Foundations, Didactics, Economics
    Morality, Decision and Social Organization
    • 2017

      Selecta Mathematica I

      • 621 pages
      • 22 hours of reading

      Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical Colloquium. Both during his early years in Vienna and, after his emigration, in the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced many of his colleagues. These two volumes contain Menger's major mathematical papers, based on his own selection from his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, and also include material on economics, sociology, logic and philosophy. The Selecta Mathematica is a monument to the diversity and originality of Menger's ideas.

      Selecta Mathematica I
    • 2002

      Selecta Mathematica II

      • 688 pages
      • 25 hours of reading

      Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical Colloquium. Both during his early years in Vienna and, after his emigration, in the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced many of his colleagues. These two volumes contain Menger's major mathematical papers, based on his own selection from his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, and also include material on economics, sociology, logic and philosophy. The Selecta Mathematica is a monument to the diversity and originality of Menger's ideas.

      Selecta Mathematica II
    • 1998

      Die von Karl Menger und seinen Mitarbeitern (darunter Kurt Gödel) herausgegebenen „Ergebnisse eines Mathematischen Kolloquiums“ zählen zu den wichtigsten Quellenwerken der Wissenschafts- und Geistesgeschichte der Zwischenkriegszeit, mit bahnbrechenden Beiträgen von Menger, Gödel, Tarski, Wald, John von Neumann und vielen anderen. In diesem Band liegt der Inhalt erstmals gesammelt vor. Der Nobelpreisträger Gerard Debreu schrieb die Einleitung, die Kommentare wurden vom Logiker und Gödel-Biographen John Dawson jr., dem Topologen Ryszard Engelking und dem Wirtschaftstheoretiker Werner Hildenbrand verfasst. Außerdem enthält der Band einen biographischen Aufsatz über Karl Menger sowie einen von Menger verfassten Überblick über die wichtigsten topologischen und geometrischen Arbeiten des Kolloquiums.

      Ergebnisse eines Mathematischen Kolloquiums
    • 1979

      This collection features papers that explore a range of topics including epistemology, logic, mathematics, and economics, reflecting over fifty years of work. It addresses fundamental concepts, critiques dominant views, and discusses teaching methods, all unified by a quest for clarity in mathematical ideas and practices.

      Selected Papers in Logic and Foundations, Didactics, Economics