Abstract
Those mathematicians and historians of mathematics who have participated in the 21st International Congress of Mathematicians in Kyoto and the Tokyo History of Mathematics Symposium 1990 may be interested in the following problem: Japan is now one of the big powers in mathematics, as participants may have observed at the Kyoto Congress. Why was Japan able to introduce Western mathematics so rapidly? I propose the following answer to this problem: The old order of Japan already possessed a very sophisticated traditional mathematics called ‘wasan’, and new Japan was in a great hurry to reform educational systems drastically and to institutionalize military academies, a mathematical society, and universities, which all facilitated Japan’s adoption of Western mathematics.
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References
Awakening Japan: The Diary of a German Doctor: Erwin Baelz, edited by his son, Toku Baelz (New York, 1932; Bloommgton-London: Indiana University Press, 21974), pp. 15–16.
Fukuzawa Yukichi, An Outline of a Theory of Civilization, translated by David A. Dilworth and G. Cameron Hurst (Tokyo: Sophia University, 1973), pp. 2–3.
See Marius B. Jansen, “Changing Japanese Attitudes Toward Modernization,” in Jansen , ed., Changing Japanese Attitudes Toward Modernization (Princeton: Princeton University Press, 1965), pp. 43–89.
Max Weber, The Religion of China: Confucianism and Taoism, translated and edited by Hans H. Gerth with an Introduction by C. K. Yang (New York-London: Free Press, 1968). See especially Chapter VI, “The Confucian Life Orientation,” pp. 142–172.
For a well-written survey of the history of physics in Meiji Japan, see Kenkichiro Koizumi, “The Emergence of Japan’s First Physicists: 1868–1900,” Historical Studies in the Physical Sciences, 6 (1975), pp. 1–108.
For an introduction to the history of traditional Japanese mathematics, see Yoshio Mikami, The Development of Mathematics in China and Japan (First published in 1913; New York: Chelsea, 21974)
and David E. Smith and Yoshio Mikami, A History of Japanese Mathematics (Chiacago: Open Court, 1914). These two books are partly out of date. The best work on the history of wasan is no doubt: The Japan Academy, Meiji-zen Nippon Sūgaku-shi (History of Mathematics in the Pre-Meiji Era), 5 vols. (Tokyo: Iwanami Shoten, 1954–1960), actually written by Fujiwara Matsusaburô (1881–1946).
As to main charactersitics of Viète’s algebra, see Michael S. Mahoney, “The Beginnings of Algebraic Thought in the Seventeenth Century,” in Stephan W. Gaukroger, ed., Descartes: Philosophy, Mathematics and Physics (Brighton, Sussex: The Harvester Press-Totowa, New Jersey: Barnes & Noble Books, 1980), pp. 141–155.
Weber, Op. cit.(n. 4), p. 160.
Joseph Needham, Science and Civilization in China, Vol. 3: Mathematics and the Sciences of the Heavens and the Earth (Cambridge: Cambridge University Press, 1959), pp. 151–153. As to an up-to-date introduction to the history of Chinese mathematics, see Lῐ Yăn and DÙ Shiran, Chinese Mathematics: A Concise History, translated by John N. Crosseley and Anthony W.-C. Lun (Oxford: Oxford University Press, 1987) and Jean-Claude Martzloff, Histoire des Mathématiques Chinoises (Paris-Milan-Barcelone-Mexico: Masson, 1988).
This aspect was emphasized in Mikami Yoshio’s Bunkashi-jo yori Mitaru Nippon no Sūgaku (Japanese Mathematics from the View-point of Cultural History), ed., by Hirayama Akira, ōya Shin’ichi, and Shimodaira Kazuo (Tokyo: Kōseisha-Kōseikaku, 1984). I claim that Mikami’s this work is one of the most insightful monographs ever written on the old Japanese mathematics.
Mikami, The Development of Mathematics in China and Japan (n. 6), p. 169.
Max Weber, Economy and Society: An Outline of Interpretive Sociology, edited by Guenther Roth and Claus Wittich, Vol. 2 (Berkeley-Los Angeles-London: University of California Press, 1978), pp. 1105–1106.
Furukawa Ujikazu (1783–1837), Sanwa Zuihitsu (Essays on the Story of Mathematics, 1811): Quoted in Ogura Kinnosuke, Kindai Nippon no Sūgaku (Mathematics in Modern Japan), Chosaku-shü (Selected Works), Vol. 2 (Tokyo: Keisō Shobō, 1973), p. 7.
The Japan Mathematical Society, Nippon no Sugaku Hyakunen-shi (100 Year History of Japanese Mathematics), Vol. 1 (Tokyo: Iwanami Shoten, 1983), p. 25.
The Autobiography of Fukuzawa Yukichi, translated by Eiichi Kiooka (Tokyo: Hokuseido Press, 1960), p. 214.
Ibid., pp. 214–215.
Origins of the Modern Japanese State: Selected Writings of E. H. Norman, edited by John Dower (New York: Pantheon Books, 1975), pp. 138–139.
“Gakusei” (The System of Learning), in The Ministry of Education, Gakusei Hyakunen-shi (100 Year History of the System of Learning), Shiryō-hen (Materials)(Tokyo: Monbushō, 1974), p. 11.
Nakayama Shigeru, “Baron D. Kikuchi’s Cambridge Days,” Kagakushi Kenkyu, No. 65 (1963), pp. 36–37.
Joan L. Richards, Mathematical Visions: The Pursuit of Geometry in Victorian England (Boston-San Diego-New York: Academic Press, 1988). Kikuchi seems to have been influenced especially by the mathematical thought of Isaac Todhunter and of William K. Clifford.
Quoted from Ogura Kinnosuke, Op. cit. (n. 13), p. 168.
Quoted from The Japan Mathematical Society, Op. cit. (n. 14), pp. 83–84.
In 1896 Endo Toshisada published the first critically written history of wasan: Dai-Nippon Sūgakushi (A History of Mathematics in Great Japan). See my review of a recent version of this book published by Kōseisha-Kōseikaku, Tokyo, 1981 in Historia Scientiarum, No. 21 (1981), pp. 123–124.
Max Planck, “Persönliche Erinnerungen aus alten Zeiten,” in Vorträge und Erinnerungen, (Stuttgart: Hirzel, 1949), p. 13 (my translation).
Ogura Kinnosuke, Op. cit. (n. 13), p. 171.
Teiji Takagi, “Über die im Berichte der rationalen komplexen Zahlen Abel’schen Zahlkörper,” Journal of the College of Science, Imperial University of Tokyo, 19 (1903), pp. 1–42; Collected Papers (Tokyo-New York-Berlin-Heidelberg: Springer-Verlag, 21990), pp. 13–39.
Idem, “Über eine Theorie des relativ Abel’schen Zahlkörpers,” Journal of the College of Science, Imperial University of Tokyo, 41 (1920), pp. 1–133; Collected Papers, pp. 73–167.
“Teikoku Daigaku Rei” (Imperial University Order), in The Ministry of Education, Op. cit. (n. 18), p. 152.
Wilhelm Lorey, Das Studium der Mathematik an den deutschen Universitäten seit Anfang des 19. Jahrhunderts (Leipzig-Berlin: Teubner, 1916), p. 158.
The expression “ Wissenschaft ideology” is used by R. S. Turner in his “The Growth of Professional Research in Prussia, 1818–1848 — Causes and Context,” Historical Studies in the Physical Sciences, 3 (1971), pp. 137–182. This ideology emphasizes in particular original research. See also his “The Prussian Universities and the Research Imperative, 1806 to 1848” (Princeton University unpublished Ph. D. dissertation, 1973).
Inoue Kowashi, “Jinshin Kyōdō Iken-an” (A Draft of Opinions for Directing People’s Minds), in Inoue Kowashi Den (A Biography of Inoue Kowashi), Vol. 1, Shiryō-hen (Historical Material) (Tokyo: Kokugakuin Daigaku Toshokan, 1966), pp. 248–251; “Doitsu Sho-seki Honyaku Iken” (An Opinion on the Translation of German Books), Ibid., pp. 254–255.
Sōseki, Zenshū (Collected Works), Vol. 11 (Tokyo: Iwanami Shoten, 1966), pp. 333–342.
E. H. Norman, Op. cit. (n. 17), p. 305.
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Chikara, S. (1994). The Adoption of Western Mathematics in Meiji Japan, 1853–1903. In: Sasaki, C., Sugiura, M., Dauben, J.W. (eds) The Intersection of History and Mathematics. Science Networks · Historical Studies, vol 15. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7521-9_12
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