This text was prepared for the colloquium “Mathematical Europe: Myth or Reality?” organized by Catherine Goldstein and James Ritter and held in Paris during April 1992. Circumstances prevented its presentation at that time.
2.
On Ptolemaic-inspired instruction in late nineteenth-century Morocco and DelphinCambodia Gaston, “L'astronomie au Maroc”, Journal asiatique, xvii (1891), 179–201; TanneryPaul, “Sur un manuel cambodgien d'astronomie, le ‘Kbuon sauriat’ [1905]”, in Tannery, Mémoires scientifiques, xv, ed. by HeibergJ-L. and ZeuthenH-G. (Toulouse, 1939), 392–406, related correspondence on following pages. Tannery's Mémoires scientifiques, in seventeen volumes, appeared under various editors between 1912 and 1950.
3.
SalamanRedcliffe, The history and social influence of the potato, ed. by HawkesJ. G. (Cambridge, 1949; 1985); WolfEric R., Europe and the people without history (Berkeley, 1982); MintzSidney W., Sweetness and power: The place of sugar in modern history (New York, 1985).
4.
RamanV. V. and FormanPaul, “Why was it Schrödinger who developed de Broglie's ideas?”, Historical studies in the physical sciences, i (1969), 291–314; SivinNathan, “Why the scientific revolution did not take place in China — or didn't it?”, Chinese science, v (1982), 45–66; NersessianNancy, “‘Why wasn't Lorentz Einstein?’: An examination of the scientific method of H. A. Lorentz”, Centaurus, xxv (1986), 205–42; PyensonLewis, “Why science may serve political ends: Cultural imperialism and the mission to civilize”, Berichte zur Wissenschaftsgeschichte, xiii (1990), 69–81.
5.
The observation is Thomas Kuhn's.
6.
PyensonLewis, “Over the bounding main”, Historical studies in the physical and biological sciences, xx (1990), 407–22.
7.
OslerWilliam, Chauvinism in medicine: The address in medicine, Canadian Medical Association, Montreal, Sept. 17th, 1902 (Montreal, [1902]), 5; reprinted from the Montreal medical journal. Osler as a historian of science in PyensonLewis, “What is the good of history of science?”, History of science, xvii (1989), 353–89.
8.
OslerWilliam, The anti-venereal campaign, being the annual oration of the Medical Society of London, 1917 (London, 1919), 290–312, pp. 294–5, reprinted with original pagination from Transactions of the Medical Society of London, xl (1917); idem, The nation and the tropics: Address delivered in the London School of Tropical Medicine, October 26, 1909 (Oxford, [1909]), 4–6.
9.
RashedRoshdi, “La notion de science occidentale”, in Human implications of scientific advance: Proceedings of the XVth International Congress of the History of Science, Edinburgh 10–19 August 1977, ed. by ForbesEric G. (Edinburgh, 1978), 45–54, revised and enlarged in Rashed, Entre arithmétique et algèbre: Recherches sur l'histoire des mathématiques arabes (Paris, 1984), 301–18. Rashed has elaborated on the matter, with special attention to the Ottoman empire, in “Science classique et science moderne à l'époque de l'expansion de la science européenne”, in Science and empires, ed. by PetitjeanPatrickJamiCatherine, and MoulinAnne Marie (Dordrecht, 1992), 19–30, p. 20. Complementing Science and empires is the Journal of the Japan-Netherlands Institute, iii (1991), edited by RemmelinkW. G. J. and devoted entirely to papers of the First Conference on the Transfer of Science and Technology between Europe and Asia since Vasco da Gama (1498–1998); the contributors are CohenH. FlorisDavidsKarelIhsanogluEkmeleddinVogelHans UlrichKeijiYamadaTadashiYoshidaBeukersHarmWerger-KleinK. E.GroveRichardKumarDeepakDelocheJeanVaradarajanLotika, and KnappGerrit J. Remmelink's volume is the single best introduction to current views about science East and West over the past five centuries.
10.
MerzJ. T., A history of thought in the nineteenth century (4 vols, Edinburgh, 1904–14; New York, 1965), iv, 260. On Merz's enterprises in chemicals and electricity, HughesThomas P., Networks of power: Electrification in Western society, 1880–1930 (Baltimore, 1983), 249, 448–51; on Merz's intellectual undertakings, HoernléR. F. Alfred, “The philosophical work of Dr. Merz”, Proceedings of the University of Durham Philosophical Society, iv, pt. 4 (1922–23), 233–90. The first volume of Merz's History appeared in 1896; the edition chosen for the 1965 reprinting is apparently an unaltered reprinting of the 1896 edition.
11.
Merz, History (ref. 9), i, 15–20.
12.
ibid., i, 14–15.
13.
SpingarnJ. E., “American scholarship: Les belles-lettres et l'érudition en Amérique au point de vue académique”, in Congress of Comparative History, Paris 1900, section 6, Histoire comparée des littératures (Paris, 1901), 243–7.
14.
QuesadaErnesto, La enseñanza de la historia en las universidades alemanas (La Plata, 1910), 1035–49 for a summary of Lamprecht, upon whose vision Quesada sought to build the discipline of history at La Plata. RingerFritz, The decline of the German mandarins (Cambridge, Mass., 1969), 302–4 for Lamprecht's “rather turbulent mixture of anthropological information, imaginative portraiture, and embarrassingly superfluous rhetoric about psychosocial laws”. Lamprecht's Diapason is rendered in English as the dominant — the fifth degree of the major or minor scale, although no discussion is given to the musical allusion: LamprechtKarl, What is history?, transl. by AndrewsE. A. (London, 1905), 119. On Quesada as a germanophile, Simons-StoeckerHaenni, “Die Quesadas als Förderer geistiger Beziehungen zwischen Argentinien und Deutschland”, Ibero-Amerikanisches Archiv, vii, no. 2 (1929), 1–6; and PyensonLewis, Cultural imperialism and exact sciences: German expansion overseas, 1900–1930 (New York, 1985), 210, 213.
15.
Lamprecht, 1907, cited by Quesada, Enseñanza (ref. 13), 914–15.
16.
ibid., 961.
17.
Lamprecht, 1907, cited in ibid., 914–15.
18.
Lamprecht, What is history? (ref. 13), 28, 97–98; on Lamprecht and his stages of civilization, see RomeinJan, The watershed of two eras: Europe in 1900, transl. by PomeransArnold J. (Middletown, Ct, 1978), 449–50.
19.
LamprechtKarl, Die kulturhistorische Methode (Berlin, 1900), 7–13.
20.
DelormeSuzanne, “La naissance d'Isis: Premiers rapports entre Henri Berr et George Sarton”, in Eleventh International History of Science Congress, Warsaw, Actes (Wrocław, 1967), ii, 223–32, p. 224.
21.
Quesada, Enseñanza (ref. 13), 1019–20.
22.
ibid., 1042.
23.
AdamsHenry, The education of Henry Adams: An autobiography (Boston, 1918), 434, 441, 476.
24.
ibid., 477–83.
25.
KiplingRudyard and BalestierWolcott, The Naulahka: A story of East and West (1891; New York, 1899), 1, 65, 70, 102, in sequence.
26.
In the Oxford English dictionary, s. v. “West”. The term ‘West’ appears in the work of historians like Michelet, Ranke, and Curtius, but none makes sustained use of it; their main focus is directed toward “European” history. Deutsches Wörterbuch von Jacob Grimm und Wilhelm Grimm (Leipzig, 1965–), s. v. “Abendland”; Trésor de la langue française, xii (Paris, 1986), s. v. “Occident”. See PyensonLewis, “The ideology of Western rationality: History of science and the European civilizing mission”, Science and education, to appear.
27.
Osler, The nation and the tropics (ref. 7), 3–6.
28.
ConradJoseph, Under Western eyes (1911; London, 1926), 109, 112, 141, 169, 189, in sequence.
29.
Tannery, “Programme d'un cours d'histoire des sciences”, in Mémoires (ref. 1), x, 1–9.
30.
Tannery, “Histoire des sciences: Mathématiques”, ibid., 15–36, p. 30.
31.
Tannery, “Congrès d'histoire des sciences”, ibid., 11–14.
32.
Tannery, “De l'histoire générale des sciences”, ibid., 163–82, p. 163.
33.
Tannery, “Du programme d'une histoire générale des sciences”, ibid., 219–26, p. 223.
34.
Tannery, “Discours sur l'histoire générale des sciences”, ibid., 227–40.
35.
Tannery, “Les sciences en Europe”, ibid., xvii, 134, from Tannery's contribution to the collective history of Lavisse and Rambaud published in 1893; Tannery, “Discours sur l'histoire générale des sciences”, ibid., x, 226–40, p. 226 for Tannery's (posthumously published) definition of civilized peoples.
36.
CerfLéopold, who published Tannery's edition of Descartes, was condemned as a “Jew” for not providing Tannery with copies of the work for review and for personal use. Tannery to Eneström, 9 Jan. 1900, ibid., xiv, 377–80.
37.
Quesada lists 26 professors teaching history of science or medicine at German universities in 1909. Among the best known are Karl Sudhoff, Hermann Kerschensteiner, Wilhelm His, Julius Pagel, Felix Bernstein, Wilhelm Förster, and Leopold Ambronn. Quesada, Enseñanza (ref. 13), 722–8. Apart from the chair in history of science at the Collège de France — founded for Comte's disciple Pierre Laffitte — in 1903 the discipline was taught at the Sorbonne, at Lyons, and at Montpellier. Tannery, Mémoires (ref. 1), xvii, 37.
38.
The broad extent of research and writing in history of science during the later part of the nineteenth century is brilliantly surveyed by PiñeroJosé María López, “Las etapas iniciales de la historiografía de la ciencia: Invitación a recuperar su internacionalidad y su integración”, Arbor, cxlii, nos. 558–60 (1992), 21–67, pp. 32–41. López Piñero's learned essay is the single best introduction to the issues discussed in the following pages. Complementary works include: BabiniJosé, Ciencia, historia e historia de la ciencia (Buenos Aires, 1967); CohenI. Bernard, “The many faces of the history of science”, in The future of history, ed. by DelzellCharles F. (Nashville, 1977), 65–110; ThackrayArnold, “History of science”, in A guide to the culture of science, technology, and medicine, ed. by DurbinPaul T. (New York, 1980), 3–69; StruikDirk, “The historiography of mathematics from Proklos to Cantor”, NTM: Schriftenreihe für Geschichte der Naturwissenschaften, Technik und Medizin, xvii, no. 2 (1980), 1–22.
39.
Tannery to Cantor, 11 Dec. 1899, in Tannery, Mémoires (ref. 1), xiii, 371–3.
40.
Cantor to Tannery, 24 Dec. 1899, ibid., 375–6.
41.
Tannery to Cantor, 9 Jan. 1900, ibid., 377–8.
42.
Information on the congress and its participants from its collected papers: Congress of Comparative History, Paris 1900, Annales internationales d'histoire (7 vols, Paris, 1901–2), preceded by a list of members.
43.
A notable participant in this category was the ambassador of Turkey to Belgium, father of the mathematician Constantin Carathéodory; His Excellence registered for the section devoted to general and diplomatic history. On Thureau-Dangin, see HøyrupJens, “Changing trends in the historiography of Mesopotamian mathematics: An insider's view” (Institute of Communication Research, Educational Research, and Theory of Science, Roskilde Universitetscenter, 3. Raekke: Preprints og reprints, no. 3; Roskilde, 1991), 6–10.
44.
Berr promoted history of science throughout his life. In his Revue de synthèse historique he published the work of historians of science. When he established his Centre de Synthèse in Paris in 1925, history of science was one of its four sections. The International Academy of History of Sciences found lodgings, from the time of its creation in 1929, in the same building as Berr's centre. SartonGeorge, “Henri Berr (1863–1954): La synthèse de l'histoire et l'histoire de la science”, Centaurus, iv (1956), 185–97; Delorme, “Naissance d'Isis” (ref. 19), 224, for Sarton's invitation to Berr in 1912.
45.
Congress of Comparative History, Paris 1900, section 5, Histoire des sciences, ed. by TanneryPaul (Paris, 1901).
46.
In International Congress of Philosophy, Paris 1900, Logique et histoire des sciences (Bibliothèque du Congrès International de Philosophic, iii; Paris, 1900): CantorMoritz, “Origines du calcul infinitésimal”, 3–25; MilhaudGaston, “Note sur les origines du calcul infinitésimal”, 27–47; Günther, “Histoire des origines de la loi newtonienne de la gravitation”, 49–75; BouasseHenri, “Sur l'histoire des principes de la thermodynamique”, 77–132; RussellBertrand, “L'idée d'ordre et la position absolue dans l'espace et le temps”, 241–77, p. 276; PoincaréHenri, “Sur les principes de la mécanique”, 458–94, pp. 477–8. In the congress's volume Histoire de la philosophie (Bibliothèque du Congrès International de Philosophie, iv; Paris, 1902): PicavetFrançois, “La valeur de la scolastique”, 239–57; TanneryPaul, “Des principes de la science de la nature chez Aristote”, 211–21. Shortly before the First World War, Koyré began a doctoral dissertation on St Anselm under Picavet; a decade later Koyré received a so-called university doctorate from the Sorbonne for his treatise on St Anselm's idea of God. Dictionary of scientific biography, ed. by GillispieCharles C. (16 vols, New York, 1970–80), s. v. “Koyré”.
47.
CantorMoritz, “L'historiographie des mathématiques”, in Compte rendu du deuxième Congrès International des Mathématiciens tenu à Paris du 6 au 12 août 1900, ed. by DuporcqE. (Paris, 1902), 27–42.
48.
MilhaudGaston, “Sur un point de la philosophie scientifique d'Auguste Comte”, in Histoire des sciences (ref. 44), 15–26.
49.
GleyEmile, “Influence du positivism sur le développement des sciences biologiques en France”, in ibid., 164–70.
50.
WeberLouis, “L'idée d'évolution dans ses rapports avec le problème de la certitude”, in International Congress of Philosophy, Paris 1900, Philosophie générale et métaphysique (Bibliothèque du Congrès International de Philosophie, i; Paris, 1900), 435–57. In Histoire de la philosophie (ref. 45): BelotGustave, “L'idée et la méthode de la philosophie scientifique chez Aug. Comte”, 413–72; GroppaliAlexandre, “La sociologie considérée comme science philosophique”, 165–80.
51.
PaulHarry, “Scholarship and ideology: The chair of the general history of science at the Collège de France, 1892–1913”, Isis, lxxvii (1976), 376–97, pp. 381, 387. HoussayFrédéric, “Les théories atomiques en biologie”, in Logique et histoire des sciences (ref. 45), 595–607, p. 596.
52.
Congress of Comparative History, Paris 1900, Procès-Verbaux sommaires (Paris, 1901), 30. The comission originally consisted of Tannery, the epistemologist André Lalande, and the doctors Dureau and Sicard de Plauzoles.
TanneryPaul, “Pour le progrès de l'histoire des sciences”, ibid., xix, 103–12.
55.
Ibid.
56.
Tannery to Bobynin, 24 Jan. 1904, ibid., xiii, 165–7.
57.
Eneström to Tannery, 31 Jan. 1904, ibid., xiv, 413.
58.
Tannery to Loria, 23 Nov. 1903, ibid., xv, 473–5. Tannery to Ludwig Stein, 28 Nov. 1903, ibid., xvi, 377–81, for another example of Tannery's politicking with French colleagues with regard to an international project — in this case publishing a corpus philosophorum; Tannery mentions that his vision of the bibliographical project is difficult to realize.
59.
Tannery to Blanchard, 1 Nov. 1903, ibid., xiii, 160–3.
60.
Léon to Tannery, 16 Nov. 1903, ibid., xv, 435–6.
61.
Tannery to Stein, 1 Nov. 1903, ibid., xvi, 375–7.
62.
In ClaparèdeE. (ed.), Congrès International de Philosophie, rapports et comptes rendus (Geneva, 1905): MentréF., “La simultanéité des découvertes scientifiques”, 916–24; MilhaudGaston, “Note sur l'idée de science”, 693–705.
63.
CantorMoritz, “Einfürung in die Geschichte der Mathematik: Hinweis auf neue Resultate”, in Verhandlungen des dritten internationalen Mathematiker-Kongresses in Heidelberg vom 8. bis 13 August 1904, ed. by KrazerA. (Leipzig, 1905), 497–501. The tree metaphor appeared in the work of a number of mathematicians in the years around 1900, notably Felix Klein and Hermann Weyl. PyensonLewis, The young Einstein: The advent of relativity (London, 1985), 148.
64.
TanneryJules, “Paul Tannery”, in Congrès International (ref. 61), 775–97, Sudhoffs observation on p. 796.
65.
PiñeroLópez, “Etapas iniciales” (ref. 37), 41–57. López Piñero contends that history of medicine emerged as a discipline in the nineteenth century and that it stood behind the fortunes of the discipline of history of science.
66.
Weber, “Science as a vocation”, transl. by JohnMichael, in Max Weber's ‘Science as a vocation’, ed. by LassmannPeterVelodyIrving, and MartinsHerminio (London, 1989), 3–31, p. 6.
67.
TönniesFerdinand, “La synthèse créatrice”, in Philosophie générale et métaphysique (ref. 49), 415–34, p. 423, where Tönnies cites his seminal publication of 1887; Weber, “Science as a vocation” (ref. 65), 15.
68.
GlickThomas F., George Sarton i la història de la ciència a Espanya, transl. by ViladrichMercè (Barcelona, 1990), for Sarton's relationship with the Spanish Arabists. Peter Novick dates the historical defence of the West, in United States historiography, from the 1920s; U.S. historians followed their European colleagues, however, in embracing the concept of the West well before the First World War. NovickPeter, That noble dream: The ‘objectivity question’ and the American historical profession (Cambridge, 1988), 281–313.
69.
The author's trilogy is relevant: PyensonLewis, Civilizing mission: Exact sciences and French overseas expansion, 1830–1940 (Baltimore, 1993); Empire of reason: Exact sciences in Indonesia, 1840–1940 (Leiden, 1989); Cultural imperialism and exact sciences: German expansion overseas, 1900–1930 (New York, 1985).
70.
PyensonLewis, Neohumanism and the persistence of pure mathematics in Wilhelmian Germany (Philadelphia, 1983); SaidEdward W., Orientalism (New York, 1978).
71.
Romein, Watershed (ref. 17), 47.
72.
KeylorWilliam R., Academy and community: The foundation of the French historical profession (Cambridge, Mass., 1975), 160–1 for internationalism in the context of the community of French historians. CrawfordElisabeth, Nationalism and internationalism in science, 1880–1939: Four studies of the Nobel population (Cambridge, 1992), 38–39 for the late nineteenth-century internationalist movement.
73.
WhiteHayden, Metahistory: The historical imagination in nineteenth century Europe (Baltimore, 1973), 195, 212, 343.
74.
Hegel's lectures on the history of philosophy, transl. by HaldaneE. S. and SimsonFrances H. (3 vols, 1892–96; London, 1968), i, 95; iii, 25; i, 117. Last quotation from Hegel, The philosophy of history, transl. by SibreeJ. (1899; New York, 1956), 410–11. Not once in Metahistory (ref. 72) does Hayden White cite these and related passages of Hegel's. One of Rashed's merits is to have clearly identified the Hegelian precedent. Rashed, “Notion” (ref. 8), 305. Naïve and uncritical use of the word “West” is a structural feature of “Western” scholarship today, for example in two recent, major surveys: Von LaueTheodore H., The world revolution of Westernization: The twentieth century in global perspective (Oxford, 1987); LindbergDavid C., The beginnings of Western science: The European scientific tradition in philosophical, religious, and institutional context, 600 B.C. to a.d. 1450 (Chicago, 1992). The matter is less ambiguous for some East Asian scholars, who apparently understand “West” to mean everything — kit and caboodle — tracing roots to Mediterranean cultures. NakayamaShigeru, Academic and scientific traditions in China, Japan, and the West, transl. by DusenburyJerry (Tokyo, 1984); Joseph Needham identifies the West with Europe tout court: Needham, “Les rôles respectifs de l'Europe et de la Chine dans l'évolution de la science oecuménique [1967]”, in Needham, Dialogue des civilisations Chine-Occident: Pour une histoire oecuménique des sciences, transl. by FèvreFrancine and FosterMarie-Brigitte, ed. by MétailiéGeorges (Paris, 1991), 270–302. As suggested in Schafer'sEdward H.Golden peaches of Samarkand: A study of T'ang exotics (Berkeley, 1963), 7–39, Chinese civilization in the T'ang (seventh through tenth centuries) considered the West to begin in Chinese Turkestan. Japan was long familiar with South Asia by way of Chinese texts; beginning with Portuguese contacts in the sixteenth century, taisei (Far West) denoted Europe exclusively. I am grateful to Nathan Sivin and Setsuko Tanaka-Blackmore for enlightenment on these points. 74. HarrisMarvin, The rise of anthropological theory (New York, 1968), 64–66 for the Comtean-Hegelian affinity; Merz, History of thought (ref. 9), iv, 482–3 for Comte and Hegel compared.