Linked bibliography for the SEP article "The Early Development of Set Theory" by José Ferreirós |
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- Cantor, Georg, 1883. Grundlagen einer allgemeinen Mannigfaltigkeitslehre, Leipzig: B. G. Teubner. In Cantor 1932, 165–208. English in Ewald 1996, vol. 2. (Scholar)
- Cantor, Georg, 1884. “Über unendliche, lineare Punktmannichfaltigkeiten, 6,” Mathematische Annalen, 23: 453–88. In Cantor (1932). 210–244. (Scholar)
- Cantor, Georg, 1892. “Über eine elementare Frage der Mannigfaltigkeitslehre,” Jahresbericht der Deutschen Mathematiker Vereinigung, 1: 75–78. In Cantor (1932), 278–280. English trans. in [Ewald 1996], vol.2. (Scholar)
- Cantor, Georg, 1895/97. “Beiträge zur Begründung der transfiniten Mengenlehre,” in Cantor 1932, 282–351. English trans. in Cantor, Contributions to the founding of the theory of transfinite numbers, New York: Dover, 1955. (Scholar)
- Cantor, Georg, 1932. Gesammelte Abhandlungen mathematischen und philosophischen Inhalts, E. Zermelo (ed.), Berlin: Springer. Reprint Hildesheim: Olms, 1966. (Scholar)
- Cavaillès, Jean, 1962. Philosophie mathématique, Paris: Hermann, 1962. (Scholar)
- Dauben, Joseph, 1979. Georg Cantor. His Mathematics and Philosophy of the Infinite, Cambridge, MA: Harvard University Press. (Scholar)
- Dedekind, Richard, 1871. “Über die Komposition der binären quadratischen Formen,” Supplement X to G. L. Dirichlet & R. Dedekind, Vorlesungen über Zahlentheorie, Braunschweig: Vieweg. [Later editions as Supplement XI, of which the fourth is reprinted in New York: Chelsea, 1968.] Partial reprint in Dedekind (1930/32), vol.3, 223–261. (Scholar)
- Dedekind, Richard, 1872. Stetigkeit und irrationale Zahlen, Braunschweig: Vieweg. In Dedekind (1930/32), vol.3, 315–334. English trans. in [Ewald 1996], vol.2. (Scholar)
- Dedekind, Richard, 1876/77. “Sur la théorie des nombres entiers algébriques,” Bulletin des Sciences mathématiques et astronomiques, 1st series, XI (1876), 278–293; 2nd series, I (1877), 17–41, 69–92, 144–164, 207–248. Separate edition, Paris: Gauthier-Villars, 1977. English trans. by J. Stillwell: Theory of algebraic integers, Cambridge: Cambridge University Press, 2004. (Scholar)
- Dedekind, Richard, 1888. Was sind und was sollen die Zahlen?, Braunschweig: Vieweg. In Dedekind 1930/32, vol. 3. English in Ewald 1996, vol. 2. (Scholar)
- Dedekind, Richard, 1930/32. Gesammelte mathematische Werke, R. Fricke, E. Noether & Ö. Ore (eds.), Braunschweig: Vieweg, 3 vols. Reprint New York: Chelsea, 1969. (Scholar)
- Ewald, William B., 1996. From Kant to Hilbert: A source book in the foundations of mathematics, 2 vols., Oxford: Oxford University Press. (Scholar)
- Ferreirós, José, 1999. Labyrinth of Thought. A history of set theory and its role in modern mathematics, Basel: Birkhäuser. (Scholar)
- Frege, Gottlob, 1903. Grundgesetze der Arithmetik, vol. 2, Jena: Pohle. Reprint Hildesheim: Olms, 1966. (Scholar)
- Grattan-Guinness, Ivor (ed.), 1980. From the Calculus to Set Theory, 1630–1910, London: Duckworth. (Scholar)
- Hallett, Michael, 1984. Cantorian Set Theory and Limitation of Size, Oxford: Clarendon. (Scholar)
- Hausdorff, Felix, 2002. Gesammelte Werke, vol. II: “Grundzüge der Mengenlehre”, E. Brieskorn, W. Purkert et al. (eds.), Berlin: Springer. (Scholar)
- van Heijenoort, Jean, 1967. From Frege to Gödel: A source book in mathematical logic, Cambridge, MA: Harvard University Press. Reprint as paperback, 2000. (Scholar)
- Kanamori, Akihiro, 1996. “The mathematical development of set theory from Cantor to Cohen,” Bulletin of Symbolic Logic, 2: 1–71. (Scholar)
- Kanamori, Akihiro, 1995. “The emergence of descriptive set theory,” Synthese, 251: 241–262. . (Scholar)
- Lavine, Shaughan, 1994. Understanding the Infinite, Cambridge, MA: Harvard University Press. (Scholar)
- Maddy, Penelope, 1988. “Believing the axioms,” Journal of Symbolic Logic, 53 (2): 481–511; 53 (3): 736–764. (Scholar)
- Moore, Gregory H., 1982. Zermelo's Axiom of Choice. Its Origins, Development and Influence, Berlin: Springer. (Scholar)
- Moore, G. H. & A. Garciadiego, 1981. Burali-Forti's Paradox: A reappraisal of its origins, Historia Mathematica, 8: 319–50. (Scholar)
- Moschovakis, Yiannis N., 1994. Set Theory Notes, New York: Springer. (Scholar)
- Peckhaus, Volker & R. Kahle, 2002. “Hilbert's Paradox,” Historia Mathematica, 29 (2): 157–175. (Scholar)
- Purkert, Walter & H.J. Ilgauds, 1987. Georg Cantor 1845–1918, Basel: Birkhäuser. (Scholar)
- Rang, Bernhard & W. Thomas, 1981. “Zermelo's Discovery of the ‘Russell Paradox’,” Historia Mathematica, 8: 15–22. (Scholar)
- Riemann, Bernhard, 1854/1868. “Über die Hypothesen, welche der Geometrie zu Grunde liegen” (Habilitationsvotrag), Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen, 13 (1868): 133-152. In Riemann (1892), 272–287. English translation by Clifford, reprinted in [Ewald 1996], vol. 2. (Scholar)
- Riemann, Bernhard, 1854/1868b. “Über die Darstellbarkeit einer Function durch eine trigonometrische Reihe,” (Habilitationsschrift), Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen, 13 (1868): 87–132. In Riemann (1892), 227–265.
- Riemann, Bernhard, 1892. Gesammelte mathematische Werke und wissenschaftlicher Nachlass, H. Weber and R. Dedekind (eds.), Leipzig, Teubner. Reprinted (together with the Nachträge, M. Noether and W. Wirtinger (eds.), New York: Dover, 1953. (Scholar)
- Russell, Bertrand, 1903. The Principles of Mathematics, Cambridge, University Press. Reprint of the 2nd edn. (1937): London: Allen & Unwin, 1948. (Scholar)
- Sierpiński, Wacław, 1974–76. Oeuvres choisies, S. Hartman, et al. (eds.), Volumes 2–3; Warszawa, Editions scientifiques de Pologne. (Scholar)
- Tait, William, 2000. “Cantor's Grundlagen and the Paradoxes of Set Theory,” W. Tait, The Provenance of Pure Reason, Oxford: Oxford University Press, 2005, pp. 252–275. (Scholar)
- Zermelo, Ernst, 1904. “Beweis, dass jede Menge wohlgeordnet werden kann,” Mathematische Annalen, 59: 514–516. English trans. in van Heijenoort 1967. (Scholar)
- Zermelo, Ernst, 1908. “Untersuchungen über die Grundlagen der Mengenlehre,” Mathematische Annalen, 65: 261–281. English trans. in van Heijenoort 1967. (Scholar)
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