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On the origins of Dénes König's infinity lemma

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Bibliography

  • Bernstein, F. 1905 “Untersuchungen aus der Mengenlehre”. Mathematische Annalen 61, 117–160.

    Google Scholar 

  • Cantor, G. 1895 “Beiträge zur Begründung der transfiniten Mengenlehre”. Mathematische Annalen 46, 481–512; also in

    Google Scholar 

  • Cantor, G. 1962, Gesammelte Abhandlungen. Olms, Hildesheim, 282–356.

    Google Scholar 

  • Dummett, M. 1977 Elements of Intuitionism. Clarendon Press, Oxford.

    Google Scholar 

  • Gallai, T. 1978 “The Life and Scientific Work of Dénes König (1984–1944)”. Linear Algebra and its Applications 21, 189–205.

    Google Scholar 

  • Kempe, A. B. 1879 “On the Geographical Problem of the Four Colours”. American Journal of Mathematics 2, 193–200.

    Google Scholar 

  • König, D. 1899 “Elementary Discussion of Two Maximum-Minimum Problems”. (In Hungarian) Mathematikai és Fizikai Lapok 8, 271–274.

    Google Scholar 

  • König, D. 1902 Mathematical Recreations I, (In Hungarian) Budapest.

  • König, D. 1905 Mathematical Recreations II, (In Hungarian) Budapest.

  • König, D. 1907 “Elementary Discussion of Rotations and Finite Rotation Groups of a Space of Many Dimensions”. (In Hungarian) Mathematikai és Fizikai Lapok 16, 313–335, 373–390.

    Google Scholar 

  • König, D. 1908 “Zur Theorie der Mächtigkeiten”. Rendiconti del Circolo Matematico di Palermo 26, 339–342.

    Google Scholar 

  • König, D. 1911a “Graphs on Two-sided Surfaces”. (In Hungarian) Mathematikai és Természettudományi Értesítö 29, 112–117.

    Google Scholar 

  • König, D. 1911b “The Genus of Graphs”. (In Hungarian) Mathematikai és Természettudományi Értesítö 29, 345–350.

    Google Scholar 

  • König, D. 1913a “On the One- and Two-sidedness of Manifolds of Higher Dimensions”. (In Hungarian) Mathematikai és Fizikai Lapok 22, 40–42.

    Google Scholar 

  • König, D. 1913b “Zur Analysis Situs der Doppelmannigfaltigkeiten und der projektiven Räume”, in Proceedings of the Fifth Congress of Mathematics II, 129–133.

    Google Scholar 

  • König, D. 1915 “Graphs and Determinants”. (In Hungarian) Mathematikai és Természettudományi Értesítö 33, 221–229.

    Google Scholar 

  • König, D. 1916 “Über Graphen und ihre Anwendung auf Determinantentheorie und Mengenlehre”. Mathematische Annalen 77, 453–465.

    Google Scholar 

  • König, D. 1918 Elements of Analysis Situs. Budapest

  • König, D. 1923 “Sur un problème de la théorie générale des ensembles et la théorie des graphes” (Communication faite le 7 avril 1914 au Congrès de Philosophie Mathématique à Paris). Revue de Métaphysique et de Morale 30, 443–449.

    Google Scholar 

  • König, D. 1926 “Sur les correspondances multivoques des ensembles”. Fundamenta Mathematicae 8, 114–134.

    Google Scholar 

  • König, D. 1927 “Über eine Schlußweise aus dem Endlichen ins Unendliche”. Acta Litterarum ac Scientiarum, Szeged 3, 121–130.

    Google Scholar 

  • König, D. 1936 Theorie der endlichen und unendlichen Graphen. Akademische Verlagsgesellschaft, Leipzig; Engl. transl. Theory of Finite and Infinite Graphs. Boston: Birkhäuser, 1990.

    Google Scholar 

  • König, D. and Valkó S. 1926 “Über mehrdeutige Abbildungen von Mengen”. Mathematische Annalen 95, 135–138.

    Google Scholar 

  • König, J. 1906 “Sur la théorie des esnsembles”. Comptes rendus de l'Académie de France, 110–112.

  • König, J. 1914 Neue Grundlagen der Logik, Arithmetik und Mengenlehre. Von Veit, Leipzig.

    Google Scholar 

  • Moore, G. H. 1982 Zermelo's Axiom of Choice: its Origins, Development and Influence. Springer, New York.

    Google Scholar 

  • Petersen J. 1879 “Die Theorie der regulären Graphs”. Acta Mathematica 15, 193–220.

    Google Scholar 

  • Poincaré, H. 1906 “Les mathématiques et la logique. II”. Revue de Métaphysique et de Morale 15, 17–34.

    Google Scholar 

  • Sierpinski, M. 1922 “Sur l'égalité 2m=2n pour les nombres cardinaux”. Fundamenta Mathematicae 3, 1.

    Google Scholar 

  • Tutte, W. T. 1990 “Commentary”, in König, D. Theory of Finite and Infinite Graphs. Boston: Birkhäuser, 1990, 1–43.

    Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Filosofia, Università degli Studi, V. Festa del Perdono 7, I-20122, Milano, Italy

    Miriam Franchella

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  1. Miriam Franchella
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Communicated by U. Bottazzini

This work was supported by CNR (contratto nr. CT94.03342.CT08.115.16509).

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Franchella, M. On the origins of Dénes König's infinity lemma. Arch. Hist. Exact Sci. 51, 3–27 (1997). https://doi.org/10.1007/BF00376449

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