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Mathematical Meditations: Revisiting Moral Practice in the Sciences of the Classical Age
Published online by Cambridge University Press: 20 January 2017
Abstract
To what extent did scholars use science to pursue the good life in the seventeenth century? How to articulate the Scientific Revolution with ethical questions? These are the questions at the core of the investigation led by the historian of science Matthew Jones in his book The Good Life in the Scientific Revolution. At first glance, his project is simply an extension of research on the social history of truth that has encouraged historians for two decades to decipher the moral norms that gave credit to the use and production of scientific knowledge. Civility, politeness, honor led to specific research that highlighted the cultural and social context surrounding the practices of scientific innovation in the Classical Age. This book deepens these questions by asking how mathematical practices were considered moral reflections. This article will discuss the contribution of this book by first examining the three attempts at experimenting mathematical morals led by Descartes, Pascal and Leibniz. The article then shows how Matthew Jones successfully draws on the work of Pierre Hadot by considering mathematical exercises as spiritual exercises. In a third broader step, the article examines how the book exemplifies a return of the moral issue in Anglophone history of science in the last twenty years while the French classical epistemology has avoided this kind of questioning. The article argues that these approaches open up avenues of research for historians to better understand the relationship between science and passion, science and spirituality, and more largely science and religion in the early modern period.
- Type
- Histories of Knowledge
- Information
- Annales. Histoire, Sciences Sociales - English Edition , Volume 67 , Issue 1 , March 2012 , pp. 133 - 149
- Copyright
- Copyright © Les Éditions de l’EHESS 2012
References
1. Jones, Matthew L., The Good Life in the Scientific Revolution: Descartes, Pascal, Leibniz, and the Cultivation of Virtue (Chicago: University of Chicago Press, 2006).CrossRefGoogle Scholar
2. Shapin, Steven, A Social History of Truth: Civility and Science in Seventeenth-Century England (Chicago: University of Chicago Press, 1994 Google Scholar). Since this book, there have been other attempts which tend towards adopting a plural model. For an intellectual history of “dissonant truths” that predates the chronology of Matthew Jones’ book, see for instance Bianchi, Luca, Pour une histoire de la double vérité (Paris: J. Vrin, 2008 Google Scholar).
3. Shapiro, Barbara J., Probability and Certainty in Seventeenth-Century England: A Study of the Relationships between Natural Science, Religion, History, Law, and Literature (Princeton: Princeton University Press, 1983 Google Scholar). Schaffer, Simon, “Making Certain,” Social Studies of Science 14, no. 1 (1984): 137–52.CrossRefGoogle Scholar
4. Shapiro, Barbara J., A Culture of Fact: England 1550-1720 (Ithaca: Cornell University Press, 2000).Google Scholar
5. Certeau, Michel de, Le lieu de l’autre. Histoire religieuse et mystique (Paris: Gallimard/ Le Seuil, 2005), 162.Google Scholar
6. Spinoza, Baruch, Œuvres, IV, Traité politique, Lettres Google Scholar, translation and notes by Appuhn, C. (Paris: GF-Flammarion, 1966), 145 Google Scholar, letter VII. For Spinoza’s correspondence, see Laux, Henri, “La correspondance,” in Lectures de Spinoza Google Scholar, eds. Moreau, P.-F. and Ramond, C. (Paris: Ellipses, 2006), 203–19 Google Scholar. More generally, see Moreau, Pierre-François, Spinoza et le spinozisme (Paris: PUF, 2003 Google Scholar). For relations with Oldenburg, see Marie Hall, Boas, Henry Oldenburg: Shaping the Royal Society (Oxford: Oxford University Press, 2002), 61–63.Google Scholar
7. In his celebrated article “Spinoza” in the Dictionnaire historique et critique, Pierre Bayle recalls: “When Spinoza betook himself to the study of philosophy, he quickly grew out of conceit with the common systems and was wonderfully pleased with that of Descartes. He felt so strong an inclination to inquire after truth that he renounced the world in a manner the better to succeed in that inquiry. Not contented to free himself from all manner of business, he also left Amsterdam, because the visits of his friends too much interrupted his speculations. He retired into the country, where he meditated without any hindrance and made microscopes and telescopes.” ( Bayle, Pierre, Pour une histoire critique de la philosophie. Choix d’articles philosophiques du Dictionnaire historique et critique Google Scholar, general introduction and presentation by Gros, J.-M. Google Scholar, with the collaboration of Chomarat, J. (Paris: Honoré Champion, 2001), 526).Google Scholar
8. For honor, see Goldstein, Catherine, “L’honneur de l’esprit : de la République des mathématiques,” in Dire et vivre l’ordre social en France sous l’Ancien Régime, ed. Cosandey, F. (Paris: Éd. de l’EHESS, 2005), 191–230 Google Scholar, and Terrall, Mary, “Gendered Spaces, Gendered Audiences: Inside and Outside the Paris Academy of Sciences,” Configurations 3, no. 2 (1995): 207–32 CrossRefGoogle Scholar, on virility. Please note that honor has become a central historiographical category in the social history of the English-speaking world.
9. Fisch, Harold, “The Scientist as Priest: A Note on Robert Boyle’s Natural Theology,” Isis 44, no. 3, (1953): 252–65 CrossRefGoogle Scholar; Schaffer, Simon, “Godly Men and Mechanical Philosophers: Souls and Spirits in Restoration Natural Philosophy,” Science in Context 1, no. 1 (1987): 55–85.CrossRefGoogle Scholar
10. Shapin, Steven, “The Mind Is Its Own Place: Science and Solitude in Seventeenth-Century England,” Science in Context 4, no. 1 (1991): 191–218.CrossRefGoogle Scholar
11. Paul, Charles B., Science and Immortality: The Eloges of the Paris Academy of Sciences (1699-1791) (Berkeley: University of California Press, 1980)Google Scholar.
12. See the work by Romano, Antonella, La contre-réforme mathématique. Constitution et diffusion d’une culture mathématique jésuite à la Renaissance, 1540-1640 (Rome: École française de Rome, 1999)CrossRefGoogle Scholar; Dear, Peter, Discipline &Experience: The Mathematical Way in the Scientific Revolution (Chicago: Chicago University Press, 1995).CrossRefGoogle Scholar
13. Hallyn, Fernand, Les structures rhétoriques de la science. De Kepler à Maxwell (Paris: Le Seuil, 2004 Google Scholar), 12, compares two rhetorical approaches: the rhetorical approach that “studies techniques of argument and persuasion,” and amounts to “observing the way in which established science presents itself to its audience,” and the poetic approach, which “may also be called a ‘deep rhetoric,’ and explores how representations are formed. Its subject is science coming into being. It seeks in particular to find in the processes of invention and discovery the traces of an activity in which imagination is at work that is both tropological (generating semantic operations such as metonymy and metaphor, leading to conceptual transformations) and narrative (generating narratives such as thought experiences, like exploration and argumentation). Poetics or deep rhetoric addresses the utterance as text. It regards it as a structure or as a more or less consistent, formal and thematic composition, which has similarities to and differences from other compositions and structures that do not necessarily belong to the same domain but are the signs of heuristic work, the output of which has been deposited in them.”
14. Cahné, Pierre-Alain, Un autre Descartes. Le philosophe et son langage (Paris: J. Vrin, 1980).Google Scholar
15. Cavaillé, Jean-Pierre, Descartes, la fable du monde (Paris: J. Vrin, 1991).Google Scholar
16. Blair, Ann, The Theater of Nature: Jean Bodin and Renaissance Science (Princeton: Princeton University Press, 1997 Google Scholar).
17. There is also a historical epistemology of mathematics. See Rabouin, David, Mathesis universalis. L’idée de “mathématique universelle” d’Aristote à Descartes (Paris: PUF, 2009).Google Scholar
18. Hadot, Pierre, Qu’est-ce que la philosophie antique ? (Paris: Gallimard, 1995)Google Scholar
19. Hadot, Pierre, Exercices spirituels et philosophie antique (Paris: Études augustiniennes, 1981)Google Scholar
20. Ibid., 9. See also Hadot, Pierre, La philosophie comme manière de vivre. Entretiens avec Jeannie Carlier et Arnold I. Davidson (Paris: Albin Michel, 2001 Google Scholar), particularly chapter 6.
21. In the chapter “Spiritual Exercises,” which defines his research program, Hadot, Exercices spirituels, 59-70, devotes page four to learning to read as one of the essential loci of spiritual training.
22. Domanski, Juliusz, La philosophie, théorie ou manière de vivre ? Les controverses de l’Antiquité à la Renaissance (Fribourg/Paris: Éd. universitaires/Éd. du Cerf, 1996 Google Scholar). Domanski demonstrates that Petrarch and later Erasmus rejected the idea of a purely theoretical and descriptive ethic and refused to reduce “philosophers” to those who held university chairs.
23. See the nuances Hadot brings to using the notion of spiritual exercise, Exercices spirituelles, 26.
24. Parmentier, Bérangère, “Arts de parler, arts de faire, arts de plaire. La publication des normes éthiques au XVIIe siècle,” Littératures Classiques 37 (1999): 141–54.Google Scholar
25. From this point of view, see Jacob, Christian, ed., Lieux de savoir, vol. I, Espaces et communautés; vol. II, Les mains de l’intellect (Paris: Albin Michel, 2007-10).Google Scholar
26. As Foucault, Michel puts it in Le courage de la vérité. Le gouvernement de soi et des autres II. Cours au Collège de France, 1983-1984, ed. Gros, F., gen. eds. Ewald, F. and Fontana, A. (Paris: Gallimard/Le Seuil, 2009), 159 Google Scholar: “So Cynicism is not satisfied with coupling or establishing a correspondence, a harmony or homophony between a certain sort of discourse and a life conforming to the principles stated in that discourse. Cynicism links mode of life and truth in a much tighter, more precise way. It makes the form of existence an essential part of truth-telling. It makes the form of existence the reductive practice which will make space for truth-telling. Finally, it makes the form of existence a way of making truth itself visible in one’s acts, one’s body, the way one dresses, and the way one conducts oneself and lives. In short, Cynicism makes life, existence, bios, what could be called an alethurgy, a manifestation of truth.”
27. Niehues-Pröbsting, Heinrich, “The Modern Reception of Cynism: Diogenes in the Enlightenment,” in The Cynics: The Cynic Movement in Antiquity and its Legacy, eds. Bracht Branham, R. and Goulet-Cazé, M.-O. (Berkeley: University of California Press, 1996), 329–65, especially 330.Google Scholar
28. Goldstein, Catherine, Un théorème de Fermat et ses lecteurs (Paris: Presses universitaires de Vincennes, 1995).Google Scholar
29. There is a shift from the paradigm of ceremonies and knowledge described in Shapin, Steven and Schaffer, Simon, Leviathan and the Air-Pomp: Hobbes, Boyle, and the Experimental Life (Princeton: Princeton University Press, 1985) to the paradigm of dramatic performance: Simon Schaffer, “Natural Philosophy and Public Spectacle in the Eighteenth Century,” History of Science 51 (1983): 1–43 Google Scholar; Golinski, Jan, Science as Public Culture: Chemistry and Enlightenment in Britain, 1760-1820 (Cambridge: Cambridge University Press, 1992).Google Scholar
30. Ribard, Dinah, “Réflexions sur l’écriture comme lieu de savoir dans les livres de philosophie en France au XVIIe siècle,” Revue de Synthèse 3, no. 4 (2007): 395–417.CrossRefGoogle Scholar
31. Ribard, Dinah, “Philosophie et non-philosophie : Fontenelle et Descartes,” Revue Fontenelle 2 (2004): 55–68.Google Scholar
32. Hadot, , Qu’est-ce que la philosophie antique ?, 17–18.Google Scholar
33. This is the current direction chosen by an English-language history of philosophy that ponders the ways of transmission and the impact of reinventing traditions of antiquity, see, for example, Hutton, Sarah, “Introduction,” in Platonism at the Origins of Modernity: Studies on Platonism and Early Modern Philosophy, eds. Hedley, D. and Hutton, S. (Dordrecht: Springer, 2008)Google Scholar.
34. Aristotle, , Éthique à Nicomaque, trans. Bodéüs, R. (Paris: Flammarion, 2004), part six, “The intellectual virtues,” 289–344.Google Scholar
35. Adam, Charles and Tannery, Paul, eds., Œuvres de Descartes, vol. VIII-B, 26 (Paris: J. Vrin, 1996), 2–7.Google Scholar
36. On generosity, see Kambouchner, Denis, Descartes et la philosophie morale (Paris: Hermann, 2008), chap. IV.Google Scholar
37. Lazzeri, Christian, “Pascal et le bonheur inaccessible,” in Histoire raisonnée de la philosophie morale et politique. Le bonheur et l’utile, eds. Caillé, A., Senellart, M. and Lazzeri, C., vol. 1 (2001; Paris: Flammarion, 2007), 401–14; here 409.Google Scholar
38. Jones, , The Good Life Google Scholar, chap. 4.
39. Ibid, ., 169.Google Scholar
40. Shapin, Steven, The Scientific Life: A Moral History of a Late Modern Vocation (Chicago: University of Chicago Press, 2008).CrossRefGoogle Scholar
41. See Pestre, Dominique, Sciences, argent et politique : essai d’interprétation (Paris: INRA Éditions, 2003).CrossRefGoogle Scholar
42. For the tension between this absolutism and curiosity, see Blumenberg’s, Hans interpretation, La légitimité des Temps modernes (1988; Paris: Gallimard, 1999 Google Scholar). See Monod’s, Jean-Claude illuminating commentary, La querelle de la sécularisation. Théologie politique et philosophies de l’histoire de Hegel à Blumenberg (Paris: J. Vrin, 2002).Google Scholar
43. Certeau, , “Politique et mystique. René d’Argenson (1596-1651),” Le lieu de l’autre, 265-300, on the “magistrate’s supernatural philosophy,” 269–76.Google Scholar
44. Ibid, ., 239–48 Google Scholar.
45. Daston, Lorraine, “The Moral Economy of Science,” Osiris 10 (1995): 2–24.CrossRefGoogle Scholar
46. Porter, Theodore, “Objectivity as Standardization: The Rhetoric of Impersonality in Measurement, Statistics, and Cost-Benefit Analysis,” Annals of Scholarship 9 (1992): 19–59 Google Scholar; Schaffer, Simon, “Astronomers Mark Time: Discipline and the Personal Equation,” Science in Context 2, no. 1 (1988): 115–45.CrossRefGoogle Scholar
47. Daston, , “The Moral Economy of Science CrossRefGoogle Scholar,” 4: “Here the term economy also has an old-fashioned meaning: it refers not to money, markets, labour, production or the distribution of material resources but rather to an organized system with certain regular features that can be explained but are not always predictable in their details.”
48. Ibid, ., 3: “We can state more strongly and more specifically that certain forms of empiricism, quantification and objectivity themselves are not simply compatible with a moral economy: they call for moral economies.”Google Scholar
49. Ibid., 6.
50. See Goldstein, , “L’honneur de l’esprit”.Google Scholar
51. Mackenzie, Donald, Mechanizing Proof: Computing, Risk, and Trust (Cambridge: MIT Press, 2001), 10–11.Google Scholar
52. Ibid., 11.
53. Here we can refer to the definition put forward by Daston, Lorraine, “Une histoire de l’objectivité scientifique,” in L’histoire des sciences. Méthode, styles et controversies, ed. Braunstein, J.-F. (Paris, J. Vrin, 2008), 367 Google Scholar: “What I understand by historical epistemology is the history of the categories that structure our thought, that pattern our arguments and proofs, and certify our standards of explanation and give each of these activities symbolic meaning and an emotional value. This historical epistemology can (and indeed should) refer to the history of ideas and practices, as much as to the history of meanings and values that constitute the moral economies of the sciences.”
54. James, Susan, Passion and Action: The Emotions in Seventeenth-Century Philosophy (Oxford: Clarendon Press, 1997)Google Scholar; Roux, Jacques, Charvolin, Florian and Dumain, Aurélie, “Les ‘passions cognitives’ ou la dimension rebelle du connaître en régime de passion. Premiers résultats d’un programme en cours,” Revue d’anthropologie des connaissances 3, no. 3 (2009): 369–85.CrossRefGoogle Scholar
55. Descartes, René, “Les passions de l’âme,” Œuvres philosophiques, vol. III, 1643-1650 (Paris: Bordas, 1989)Google Scholar, 1010 (art. 75). See Kambouchner, Denis, L’homme des passions. Commentaires sur Descartes, vol. I (Paris: Albin Michel, 1995), 237–40.Google Scholar
56. For attention, see Daston, Lorraine, “Attention and the Values of Nature in the Enlightenment,” in The Moral Authority of Nature, eds. Daston, L. and Vidal, F. (Chicago: University of Chicago Press, 2004), 100–26 Google Scholar. L. Daston writes: “I can say that the value placed on nature was built on highly developed modes of attention, observation and description, applied to natural objects” (101).
57. Descartes, “Les passions de l’âme,” 1011 (art. 385).
58. Hadot, Exercices spirituels, 31.
59. Daston, “The Values of Nature,” 102.
60. Daston, Lorraine and Galison, Peter, Objectivity (New York: Zone Books, 2007).Google Scholar
61. Darmon, Jean-Charles and Waquet, Françoise, eds., L’amitié et les sciences. De Descartes à Lévi-Strauss (Paris: Hermann, 2010).Google Scholar
62. On this point, Dew’s, Nicholas recent book, Orientalism in Louis XIV’s France (Oxford: Oxford University Press, 2009)Google Scholar, endeavors to place the role played by free-thinkers like François Bernier inside the networks of baroque Orientalism; see chapter III.
63. To revisit the terms used by Bachelard, Gaston, Essai sur la connaissance approchée (1928; Paris: J. Vrin, 1987)Google Scholar, 13.
64. Certeau, Michel de, L’écriture de l’histoire (Paris: Gallimard, 1975).Google Scholar
65. With the exception of Brice, Catherine and Romano, Antonella, eds., Sciences et religions de Copernic à Galilée, 1540-1610 (Rome: École française de Rome, 1999).Google Scholar
66. For this tension between religion and faith, see Büttgen, Philippe and Duhamelle, Christophe, eds., Religion ou confession. Un bilan franco-allemand sur l’époque moderne, XVIe-XVIIIe siècles (Paris: Éd. de la MSH, 2010).Google Scholar
67. This trend is particularly strong in Madera, Romano and Tarca, Luigi Vero, La filosofia come stile di vita. Introduzione alle pratiche filosofiche (Milan: Bruno Mondadori, 2003).Google Scholar
68. Mancini, Sandro, “Montaigne e il mestiere di vivere,” in Pratiche filosofiche e cura di sé, eds. Achenbach, G. and Brentari, C. (Milan: Bruno Mondadori, 2006), 61–66.Google Scholar
69. These studies into philosophy’s move away from discipline in the Classical Age stumble on this issue of philosophy spreading through society, still understood as a “vulgarization,” a “disclosure” of a corpus of academic philosophy that is not concerned with describing the many ways of being present.
70. Perrot, Jean-Claude, Une histoire intellectuelle de l’économie politique, XVIIe-XVIIIe siècle (Paris: Éd. de l’EHESS, 1992).Google Scholar
71. On the one hand, according to Certeau, in L’écriture de l’histoire, 156, “an autonomous ethic develops which takes either the social order or conscience as its frame of reference,” on the other there is the development of a positive theology and a “clerical hermeneutic” that goes back to the origins of Christianity. “A science of morals now judges religious ideology and its impact where a ‘science of faith’ used to classify conduct in a sub-section that was entitled ‘moral theology’ and established a hierarchy of conduct according to the codes of the doctrine.”
72. Armogathe, Jean-Robert, La nature du monde. Science et exégèse au XVIIe siècle (Paris: PUF, 2007).Google Scholar
73. Numerous studies, such as those by John Christie for example, have referred to a reassessment of the relations between mysticism and science in the case of Joseph Priestley. See the classic articles by Schaffer, Simon, “Priestley and the Politics of Spirit,” in Science, Medicine and Dissent: Joseph Priestley, eds. Anderson, R. G. W. and Lawrence, C. J. (London: Wellcome Institute/Science Museum, 1987), 39–53 Google Scholar; Id., “Measuring Virtue: Eudiometry, Enlightenment and Pneumatic Medicine,” in The Medical Enlightenment of the Eighteenth Century, eds. , R. K. and Cunningham, A. R. (Cambridge: Cambridge University Press, 1990), 281–318.Google Scholar
74. Riskin, Jessica, Science in the Age of Sensibility: The Sentimental Empiricists of the French Enlightenment (Chicago: University of Chicago Press, 2002).CrossRefGoogle Scholar