Abstract
The conceptual problems of natural philosophy remained a subject of en- during interest for Kant. Despite shifts in outlook, engendered by a deeper understanding of natural philosophy and the transformation in philosophical perspective which led to the development of the critical philosophy, the conceptual status of ‘force’ and the relationship between ‘force’ and ‘matter’ remained at the core of Kant’s treatment of the problems of natural philosophy. These issues pervade the chapters on ‘Dynamics’ and ‘Mechanics’ in the Metaphysical foundations of natural science (1786), Kant’s mature and most systematic discussion of natural philosophy, where he elaborated the ways in which the transcendental categories of the Critique of pure reason (1781) were to be applied to the concept of matter. It has become a commonplace to describe Kant’s intentions as an attempt to demonstrate the validity of Newtonian physics, but as Buchdahl has emphasised Kant’s ‘metaphysics of nature’ purports to demonstrate links between physical theory and the transcendental principles rather than to claim that the actual inductive validity of Newtonian physics can be derived from a priori premises.1 Moreover, in the Metaphysical foundations Kant’s examination of the metaphysical foundations of Newtonian physical concepts led him to a reappraisal of the conceptual status of ‘force’, ‘matter’ and inertia’ in physical theory. The argument of the Metaphysical foundations thus has a complex relationship to the conceptual structure of Newtonian natural philosophy.
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Notes
G. Buchdahl, Metaphysics and the philosophy of science: the classical origins. Descartes to Kant, Blackwell, Oxford, 1969, p. 678.
H. E. Timerding: ‘Kant und Euler’, Kant-Studien 23 (1919), 18–64.
I. Kant, Metaphysische Anfangsgründe der Naturwissenschaft [1786], in Kant’s gesammelte Schriften herausgegeben von der Königlichen Preussischen Akademie der Wissenschaften, Vol. 4, Reimer, Berlin, 1911, pp. 469–72. I have used the recent translation by J. Ellington of Kant’s Metaphysical foundations of natural science, Bobbs-Merrill, Indianapolis and New York, 1970. Quotations from the Metaphysische Anfangsgründe in this paper are taken, with occasional modifications, from this translation; and all page references are to the Akademie edition, page numbers in that edition being given as marginal numbers in Ellington’s translation.
Kant, Schriften, Vol. 4, pp. 473, 476. See G. Buchdahl: ‘The conception of lawlikeness in Kant’s philosophy of science’, Synthese 23 (1971), 24-46.
I. Kant, Gedanken von den wahren Schätzung der lebendigen Kräfte [1747], in Kant’s gesammelte Schriften, Vol. 1, Berlin, 1902, p. 139. For especially relevant background on the vis viva controversy, see: T. L. Hankins: ‘Eighteenth-century attempts to resolve the vis viva controversy’, Isis 56 (1965), 281-97; R. Calinger: ‘The Newtonian — Wolffian confrontation in the St. Petersburg Academy of Sciences (1725-1746), Journal of World History 11 (1968), 417-35; and C. Iltis: ‘Madame du Châtelet’s metaphysics and mechanics’, Studies in History and Philosophy of Science 8 (1977), 29-48.
Kant, Schriften, Vol. 1, p. 59.
Ibid., p. 107.
Ibid., p. 60.
Ibid., pp. 57, 91, 150. Bernoulli’s writings on ‘living force’ were collected in the third volume of his Opera Omnia,4 vols., Bousquet, Lausanne/Geneva, 1742.
G. W. Leibniz: ‘Specimen Dynamicum’, Acta Eruditorum 14 (1695), 145–57; in Leibniz, Mathematische Schriften,7 vols. C. I. Gerhardt (ed.), reprinted: Olms, Hildesheim, 1960-61, Vol. 6, pp. 235-7; trans, by L. E. Loemker in Leibniz, Philosophical papers and letters, D. Reidel Publ. Co., Dordrecht, Holland, 1969, pp. 435-444.
Leibniz, Mathematische Schriften, Vol. 6, p. 238.
Leibniz to Varignon, 20 June 1702, Mathematische Schriften, Vol. 4, p. 110. Cf. J. Mittelstrass, Neuzeit und Aufklärung: Studien zur Enstehung der neuzeitlichen Wissenschaft und Philosophie, de Gruyter, Berlin, New York, 1970, pp. 489-501.
Got. Gui. Leibnitij et Johan Bernoullij commercium phüicum et mathematicum, 2 vols., Lausanne /Geneva, 1745. A more complete collection of the Leibniz-Bernoulli correspondence is in Leibniz, Mathematische Schriften, Vol. 3, parts 1 and 2.
Leibniz to Bernoulli, 20/30 September, 1698, Mathematische Schriften, Vol. 3, p. 544.
J. Bernoulli: ‘Discours sur les loix de la communication du mouvement’ [1727], Opera omnia, Vol. 3, p. 58.
Bernoulli, Opera omnia, Vol. 3, p. 23.
Bernoulli to Leibniz, 6 December, 1698 and 7 January, 1699, in Leibniz, Mathematische Schriften, Vol. 3, pp. 555 and 563. On Bernoulli’s relation to Leibniz see P. M. Heimann: “Geometry and nature”: Leibniz and Johann Bernoulli’s theory of motion’, Centaurus 21 (1977), 1-26.
J. Bernoulli: ‘De vera notione virium vivarum earumque usu in dynamicis’ [Acta Eruditorum (1735), 210–30], Opera omnia, Vol. 3, pp. 239-41. Cf. Heimann, op. cit., for a full account of Bernoulli’s theory of ‘living force’.
Kant, Schriften, Vol. 1, pp. 150–1. Cf. E. Adickes, Kant als Naturforscher, 2 vols., Berlin, 1924-25, Vol. 1, p. 98. While Adickes correctly contrasts Kant’s and Bernoulli’s theories of ‘living force’, he fails to note Kant’s reference to Bernoulli, which has a significant bearing on the relationship between them. The account of Kant’s ‘living forces’ paper by Buchdahl, op. cit.,(note 1), pp. 553-6 provides a valuable analysis, but ignores Kant’s relation to Bernoulli, and hence gives a slightly misleading account of the status of Kant’s ‘living force’ concept.
Kant, Schriften, Vol. 1, pp. 34, 139.
J. Hermann: ‘De mensura virium corporum’ and G. Bilfmger: ‘De viribus corporum moto insitis’, Commentarii Academiae Scientiarum Imperialis Petropolitanae 1 (1728), 1–42 and 43-121. See Kant, Schriften, Vol. 1, pp. 43-5, 79-84.
Bernoulli: ‘Discours sur le mouvement’, Opera omnia, Vol. 3, p. 37.
L. Euler: ‘De 1a force de percussion et de sa véritable measure’, Mémoires de l’Académie Royale des Sciences de Berlin 1 (1745, [published 1746]), 21–53 (on pp. 29-31).
Kant, Schriften, Vol. 1, pp. 107, 140.
Ibid., p. 139.
Ibid., p. 107. Cf. Buchdahl, op. cit. (note 1), pp. 553f.
Kant, Schriften, Vol. 1, pp. 26, 141-8.
Bernoulli: ‘Discours sur le mouvement’, Opera omnia, Vol. 3, p. 37; Euler: ‘Force de percussion’, op. cit. (note 23), p. 29. Cf. Leibniz to de Voider (undated, late 1698), in Die Philosophischen Schriften von G. W. Leibniz, 7 vols., C. I. Gerhardt (ed.), reprinted: Olms, Hildesheim, 1960-61, Vol. 2, p. 154, comparing ‘living force’ to ‘dead force’ as a ‘line’ to its ‘elements’. Leibniz had compared ‘living force’ to ‘dead force’ as a’ surface to a line’ in a manuscript, Mathematische Schriften, Vol. 6, p. 121.
J. Ecole: ‘Cosmologie wolffienne et dynamique leibnizienne’, Les études philosophiques 19 (1964), 3–10.
I. Polonoff, Force, cosmos, monads and other themes in Kant’s early thought, Bouvier Verlag Herbert Grundmann, Bonn, 1973, pp. 77–89; R. Calinger: “The Newtonian — Wolffian controversy (1741-1759)”, Journal of the History of Ideas 30 (1969), 319-30, and also idem: ‘Kant and Newtonian science: the pre-critical period’, Isis 70 (1979), 349-62. Euler had taken a strongly anti-Wolffian stance in these controversies, in his Gedanken von die Elementen der Cörper, Berlin, 1746, so in the mid-1750s Kant’s position was anti-Eulerian, a view he was ultimately to invert.
Kant, Schriften, Vol. 1, p. 226. On these issues see S. Schaffer: ‘The phoenix of nature: fire and evolutionary cosmology in Wright and Kant’, Journal for the History of Astronomy 9 (1978), 180-200.
I. Kant: ‘Monadologia Physica’, Schriften, Vol. I, pp. 473–87.
I. Kant: ‘Neuer Lehrbegriff der Bewegung und Ruhe’ [1758], Schriften, Vol. 2, p. 20.
D. T. Whiteside, ed., The mathematical papers of Isaac Newton, Vol. 6, Cambridge University Press, Cambridge, 1974, p. 93.
I. Newton, Mathematical principles of natural philosophy, ed. and trans. A. Motte and F. Cajori, University of California Press, Berkeley, 1934, p. 399. Cf. J. E. McGuire:’ The origin of Newton’s doctrine of essential qualities’, Centaurus 12 (1968), 233-60.
Cf. A. Gabbey: ‘Force and inertia in seventeenth century dynamics’, Studies in History and Philosophy of Science 2 (1971), 1–67; R. S. Westfall, Force in Newton’s physics: the science of dynamics in the seventeenth century Macdonald, London, 1971, pp. 448-56; E. McMullin, Newton on matter and activity, University of Notre Dame Press, Notre Dame/London, 1978, pp. 33-43.
Whiteside, op. cit. (note 34), p. 97.
L. Euler: ‘Recherches sur l’origine des forces’, Mémoires de l’Académie des Sciences de Berlin 6 (1750 [published 1752]), 419–47; in Leonhardi Euleri opera omnia, series II, Vol. 5, J. O. Fleckenstein (ed.), Orell Füssli, Lausanne, 1957, pp. 112-5.
Ibid., pp. 116,131.
L. Euler, Lettres à une princesse d’Allemagne sur divers sujets de physique et de philosophie, 3 vols., St. Petersburg, 1768-72; in Leonhardi Euleri opera omnia, Series III, Vol. II ed. A. Speiser, Orell Füssli, Zürich, 1960, pp. 150-3.
Ibid., pp. 161-6.
Ibid., pp. 167-71.
Cf. Timerding; op. cit. (note 2), p. 50.
Euler, op. cit. (note 40), p. 172; Kant, Schriften, Vol. 1, pp. 26, 141.
Kant, Schriften, Vol. 4, pp. 473, 476, 477.
Gehler’s physikalishes Wörterbuch neu bearbeitet, 10 vols., Leipzig, 1825-44, Vol. 2, p. 715.
G. W. Leibniz, Theoria motus abstracti, Mainz, 1671; in Leibniz, Mathematische Schriften, Vol. 6, p. 71. Cf. R. Palter: ‘Kant’s formulation of the laws of motion’, Synthese 24 (1972), p. 111.
Kant, Schriften, Vol. 4, pp. 472, 480, 496.
Ibid., p. 502.
Ibid., pp. 497, 502, 508.
Ibid., pp. 508, 509, 511.
Ibid., p. 523.
Ibid., pp. 518, 519.
Ibid., pp. 501,502,525.
Ibid., pp. 508,511,512,516.
Ibid., pp. 524, 534, Cf. Buchdahl, op. cit. (note 4).
Kant, Schriften, Vol. 4, pp. 497, 498.
Ibid., pp. 498,524, 525.
Ibid., pp. 513, 525, 534.
Ibid., pp. 473, 524.
Ibid., p. 551.
Ibid., p. 543. Cf. Buchdahl, op. cit. (note 1), pp. 676-8.
Kant, Schriften, Vol. 4, pp. 543, 544, 549.
Ibid., pp. 549,550, 551.
Cf. Buchdahl, op. cit. (note 1), p. 556.
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Harman, P.M. (1983). Force and Inertia: Euler and Kant’s Metaphysical Foundations of Natural Science . In: Shea, W.R. (eds) Nature Mathematized. The University of Western Ontario Series in Philosophy of Science, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6957-5_10
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