David Hilbert (hilbert-d)

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Contributions to Philosophie.ch

Bibliography

Hilbert, David. 1899. Grundlagen der Geometrie. Leipzig: B.G. Teubner. Originally published in “Festschrift zur Feier der Enthüllung des Gauss-Weber Denkmals in Göttingen.” Later editions published in 1903, 1909, 1911, 1922 and 1930. Translation by Leo Unger of the 10th German Edition: Hilbert (1971).
Hilbert, David. 1900a. “Mathematische Probleme.” Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-physikalische Klasse, 253–297. Vortrag, gehalten auf dem internationalen Mathematiker-Kongress zu Paris. reprinted, with some additions as Hilbert (1901a) and in Hilbert (1935, III: 290–329). French translation, with emendations and additions, in Hilbert (1902b). T.
Hilbert, David. 1900b. “Über den Zahlbegriff.” Jahresbericht der Deutschen Mathematiker-Vereinigung 8: 180–194. Translated by William Ewald in Ewald (1996, 1089–1095).
Hilbert, David. 1900c. “Problèmes mathématiques.” L’enseignement mathématique 2: 349–355.
Hilbert, David. 1901a. “Mathematische Probleme.” Archiv der Mathematik und Physik 1(3rd series): 44–63, 213–237.
Hilbert, David. 1901b. “Problèmes mathématiques.” Revue générale des sciences pures et appliquées 12: 168–174.
Hilbert, David. 1902a. “Mathematical Problems.” Bulletin of the American Mathematical Society 8(2nd series): 437–479. Translation of Hilbert (1901a) by Mary Winston Newson, reprinted partially in Ewald (1996, 1089–1095).
Hilbert, David. 1902b. “Problèmes mathématiques.” in Compte rendu du Deuxième congrès international des mathématiciens tenu à Paris du 6 au 12 août 1900, pp. 58–114. Paris: Gauthier Villars Éditeur.
Hilbert, David. 1903. Grundlagen der Geometrie. 2nd ed. Leipzig: B.G. Teubner. First edition: Hilbert (1899).
Hilbert, David. 1904. “Über die Grundlagen der Logik und der Arithmetik.” in Verhandlungen des Dritten Internationalen Mathematiker-Kongresses in Heidelberg vom 8. bis 13 August 1904, pp. 174–185. Leipzig: B.G. Teubner. reprinted in Hilbert (1909, 263–279), Hilbert (1913, 243–258), Hilbert (1922a, 243–258), Hilbert (1923, 243–258), Hilbert (1971, 247–261). translation by George Bruce Halsted as Hilbert (1905) and by Beverly Woodward.
Hilbert, David. 1905. “On the foundations of logic and arithmetic.” The Monist 15: 338–352. Translation by George Bruce Halsted of Hilbert (1904).
Hilbert, David. 1909. Grundlagen der Geometrie. 3rd ed. Leipzig: B.G. Teubner. First edition: Hilbert (1899).
Hilbert, David. 1913. Grundlagen der Geometrie. 4th ed. Leipzig: B.G. Teubner. First edition: Hilbert (1899).
Hilbert, David. 1915. “The Foundations of Physics (Proofs of First Communication).” in The Genesis of General Relativity. Volumes 3 and 4. Gravitation in the Twilight of Classical Physics: Between Mechanics, Field Theory, and Astronomy, edited by Jürgen Renn and Matthias Schemmel, pp. 989–102. Boston Studies in the Philosophy of Science n. 250. Dordrecht: Springer.
Hilbert, David. 1916. “The Foundations of Physics (First Communication).” in The Genesis of General Relativity. Volumes 3 and 4. Gravitation in the Twilight of Classical Physics: Between Mechanics, Field Theory, and Astronomy, edited by Jürgen Renn and Matthias Schemmel, pp. 1003–1016. Boston Studies in the Philosophy of Science n. 250. Dordrecht: Springer.
Hilbert, David. 1917. “The Foundations of Physics (Second Communication).” in The Genesis of General Relativity. Volumes 3 and 4. Gravitation in the Twilight of Classical Physics: Between Mechanics, Field Theory, and Astronomy, edited by Jürgen Renn and Matthias Schemmel, pp. 117–1039. Boston Studies in the Philosophy of Science n. 250. Dordrecht: Springer.
Hilbert, David. 1918. “Axiomatisches Denken.” Mathematische Annalen 78: 405–415. Lecture given at the Swiss Society of Mathematicians, 11 September 1917, reprinted in Hilbert (1935, III: 146–156); translated by William Ewald in Ewald (1996, 1105–1115).
Hilbert, David. 1922a. “Die logischen Grundlagen der Mathematik.” Mathematische Annalen 88(1–2): 151–165, doi:10.1007/BF01448445.
Hilbert, David. 1922b. Grundlagen der Geometrie. 5th ed. Leipzig: B.G. Teubner. First edition: Hilbert (1899).
Hilbert, David. 1922c. “Neubegründung der Mathematik. Erste Mitteilung.” Abhandlungen aus dem mathematischen Seminar der Hamburgischen Universität 1: 157–177. Reprinted in Hilbert (1935, III: 157–177); translated by William Ewald in Ewald (1996, 1115–1134).
Hilbert, David. 1923. Grundlagen der Geometrie. 6th ed. Leipzig: B.G. Teubner. First edition: Hilbert (1899).
Hilbert, David. 1926. “Über das Unendliche.” Mathematische Annalen 95: 161–190. Reprinted, in abbreviated form, as Hilbert (1927), in Hilbert (1930a, 262–288), and in Benacerraf and Putnam (1964, 134–151); translated by Stefan Bauer-Mengelberg and Dagfinn Føllesdal in van Heijenoort (1967, 367–392).
Hilbert, David. 1927. “Über das Unendliche.” Jahresbericht der Deutschen Mathematiker-Vereinigung 36(1st section): 201–215.
Hilbert, David. 1928a. Die Grundlagen der Mathematik, mit Zusätzen von Hermann Weyl and Paul Bernays. Hamburger Mathematische Einzelschriften n. 5. Leipzig: B.G. Teubner. Contains reprints of Hilbert (1928b), Weyl (1928) and Bernays (1928).
Hilbert, David. 1928b. “Die Grundlagen der Mathematik.” Abhandlungen aus dem mathematischen Seminar der Hamburgischen Universität 6: 65–85. Reprinted in Hilbert (1928a, 1–21) and Hilbert (1930a, 289–312); translated by Stefan Bauer-Mengelberg and Dagfinn Føllesdal van Heijenoort (1967, 464–479).
Hilbert, David. 1929a. “Probleme der Grundlegung der Mathematik.” in Atti del Congresso internazionale dei matematici, Bologna 3–10 settembre 1928, volume 1, pp. 135–141. Bologna: ? reprinted, with emendations and additions, as Hilbert (1929b) and in Hilbert (1930a, 313–323).
Hilbert, David. 1929b. “Probleme der Grundlegung der Mathematik.” Mathematische Annalen 102: 1–9.
Hilbert, David. 1930a. Grundlagen der Geometrie. 7th ed. Leipzig: B.G. Teubner. First edition: Hilbert (1899).
Hilbert, David. 1930b. “Naturerkennen und Logik.” Die Naturwissenschaften 18: 959–963.
Hilbert, David. 1931a. “Die Grundlegung der elementaren Zahlenlehre.” Mathematische Annalen 104(1): 485–494. Translated as “The Grounding of Elementary Number Theory” in Ewald (1996, 1148–1156), doi:10.1007/BF01457953.
Hilbert, David. 1931b. “Beweis des Tertium non datur.” Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-physikalische Klasse ?? 120–125. Reprinted in part in Hilbert (1935, III: 192–195).
Hilbert, David. 1935. Gesammelte Abhandlungen. vol. III. Berlin: Springer Verlag.
Hilbert, David. 1970. “Axiomatic Thinking.” Philosophia Mathematica s1-7(1–2): 1–12, doi:10.1093/philmat/s1-7.1-2.1.
Hilbert, David. 1971. Foundations of Geometry. LaSalle, Illinois: Open Court Publishing Co. Translation by Leo Unger of the 10th German Edition of Hilbert (1899).
Hilbert, David. 1972. “Sur l’infini.” in Logique mathématique, Textes, edited by Jean Largeault, pp. 215–245. U Epistémologie. Paris: Armand Colin. Traduction de Hilbert (1926).
Hilbert, David. 1992. “Sur les fondements de la logique et de l’arithmétique.” in Logique et fondements des mathématiques, Anthologie (1850–1914), edited by François Rivenc and Philippe de Rouilhan, pp. 245–270. Paris: Payot. Traduction partielle de Hilbert (1904).
Hilbert, David and Ackermann, Wilhelm. 1928. Grundzüge der theoretischen Logik. Berlin: Springer Verlag.
Hilbert, David and Ackermann, Wilhelm. 1938. Grundzüge der theoretischen Logik. 2nd ed. Berlin: Springer Verlag. First edition: Hilbert and Ackermann (1928), doi:10.1007/978-3-662-41928-1.
Hilbert, David and Ackermann, Wilhelm. 1949. Grundzüge der theoretischen Logik. 3rd ed. Berlin: Springer. First edition: Hilbert and Ackermann (1928), doi:10.1007/978-3-642-52789-0.
Hilbert, David and Ackermann, Wilhelm. 1950. Principles of Mathematical Logic. New York: Chelsea Publishing Company. Translation of Hilbert and Ackermann (1938) by Lewis M. Hammond, George G. Leckie and F. Steinhardt, with revisions, corrections and added notes by Robert E. Luce.
Hilbert, David and Bernays, Paul. 1934. Die Grundlagen der Mathematik, Band I. Berlin: Springer Verlag, doi:10.1007/978-3-642-86894-8.
Hilbert, David and Bernays, Paul. 1939. Die Grundlagen der Mathematik, Band II. Berlin: Springer Verlag, doi:10.1007/978-3-642-86896-2.
Hilbert, David and Cohn-Vossen, S. 1932. Anschauliche Geometrie. Berlin: Springer Verlag.

Further References

Benacerraf, Paul and Putnam, Hilary, eds. 1964. Philosophy of Mathematics: Selected Readings. Englewood Cliffs, New Jersey: Prentice-Hall, Inc. Second edition: Benacerraf and Putnam (1983).
Benacerraf, Paul and Putnam, Hilary, eds. 1983. Philosophy of Mathematics: Selected Readings. 2nd ed. Cambridge: Cambridge University Press. First edition: Benacerraf and Putnam (1964), doi:10.1017/cbo9781139171519.
Bernays, Paul. 1928. “Zusatz zu Hilberts Vortrag über ‘Die Grundlagen der Mathematik’ .” Abhandlungen aus dem mathematischen Seminar der Hamburgischen Universität 6: 89–92. Reprinted in Hilbert (1928a, 25–28) and in van Heijenoort (1967, 485–489).
Ewald, William Bragg, ed. 1996. From Kant to Hilbert: A Source Book in the Foundations of Mathematics. Volume II. Oxford: Oxford University Press, doi:10.1093/oso/9780198505365.001.0001.
van Heijenoort, Jan, ed. 1967. From Frege to Gödel: A Source Book in Mathematical Logic 1879-1931. Cambridge, Massachusetts: Harvard University Press.
Weyl, Hermann. 1928. “Diskussionsbemerkungen zu dem zweiten Hilbertschen Vortrag über die Grundlagen der Mathematik.” Abhandlungen aus dem mathematischen Seminar der Hamburgischen Universität 6: 86–88.