Summary
This article is an investigation of parallel themes in Heinrich Hertz’s philosophy science and Kant’s theory of schemata, symbols and regulative ideas. It is argued that Hertz’s “pictures” bears close similarities to Kantian “schemata”, that is, they are rules linking concepts to intuitions and provide them with their meaning. Kant’s distinction between symbols and schemata is discussed and related to Hertz’s three pictures of mechanics. It is argued that Hertz considered his own picture of mechanics (the “hidden mass” picture) as symbolic in a different way than the force and energy pictures. In the final part of the article it is described how Harald Høffding soon after the publication of Hertz’s Principles of Mechanics developed a general theory of analogical reasoning, relying on the ideas of Hertz and Kant.
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References
Barker, P.: 1980, ‘Hertz and Wittgenstein’, Studies in the History and Philosophy of Science 11, 243–256.
Cassirer, E.: 1910, Substance and Function, Dover Publications, Inc., English translation and publication 1923 (with Einsteins Theory of Relativity), Dover republication 1953.
Cassirer, E.: 1928, The Philosophy of Symbolic Forms, Yale University Press, Published 1965.
Duhem, P.: 1905, The Evolution of Mechanics, Alphen an den Rijn: Sijthoff and Noordhoff. Published 1980.
Friedman, M.: 1992, Kant and the Exact Sciences, Harvard University Press.
Harré, R.: 1970, Principles of Scientific Thinking, Chicago, USA: University of Chicago Press.
Hertz, H.: 1894, The Principles of Mechanics — Presented in a New Form, Dover Publications, Inc., Dover Publication from 1956.
Høffding, H.: 1895, Den nyere filosofis historie, Vol. second. Copenhagen: Gyldendalske Boghandel, Nordisk forlag, German translation 1895–1896: Geschichte der neueren Philosophie, English translation 1900: A History of Modern Philosophy, French translation 1906–1908: Histoire de la Philosophie moderne.
Høffding, H.: 1902, Filosofiske problemer, Copenhagen: Universitetsbogtrykkeriet, German version 1903: Philosophische Probleme. English version with additions 1905: The Problems of Philosophy, translation by G. M. Fischer; preface by William James, New York.
Høffding, H.: 1905, ‘On Analogy and its Philosphical Importance’, Mind XIV, 199–209, Danish version 1905: ‘Om Begrebet Analogi of dets filosofiske Betydning’, Mindre Arbejder II.
Høffding, H.: 1910, Den menneskelige Tanke — dens Former og dens Opgaver. Gyldendalske boghandel, Nordisk forlag, Published in German and French (both 1911): Der menschliche Gedanke, seine Formen und seine Aufgaben and Les Pensée Humaine, ses formes et ses problèmes.
Høffding, H.: 1915, Modern Philosophers (1902) and Lectures on Bergson (1913), London: MacMillan and Co., Ltd. Danish version 1905.
Høffding, H.: 1917, ‘Totalitet som Kategori’, in: D. Vid. S. Skrifter, Vol. 6 of D. Vid. S. Skrifter, Copenhagen: Hist. Filosofisk afd. 2, pp. 259–334. German Translation (1917): Der Totalitätsbegriff. Eine erkenntnistheoretische Untersuchung. Leipzig, 1917, French version, see Hoffdingrela.
Høffding, H.: 1921, Relation som kategori, Vol. 1(3) of Filosofiske Meddelelser, Copenhagen: Det Kgl. Danske Videnskabernes Selskab, German version 1922: Der Relationsbegriff. Eine erkenntnistheoretische Untersuchung. Leipzig, French version (including Hoffdingtot): La relativité philosophique. Totalité et relation. Bibliothéque de la philosophie comtemporaine, Paris.).
Høffding, H.: 1923, Begrebet analogi, Vol. 1(4) of Filosofiske Meddelelser, Copenhagen: Det Kgl. Danske Videnskabernes Selskab, German translation by Georg Wehrung: Der Begriff der Analogie, Theologische Literaturzeitung 50(1925) sp. 141f.
Hyder, D. J.: 2002, ‘Kantian Metaphysics and Hertzian Mechanics’, in: Stadler F. (ed.): Vienna Circle Institute Yearbook. Kluwer Academic Publishers.
Kant, I.: 1781, Critique of Pure Reason, London: Macmillan Press, English Translation by Norman Kemp Smith, first published 1929.
Kant, I.: 1786, Metaphysische Anfangsgründe der Naturwissenschaft. Leipzig: Veröffentlichungen der Philosophischen Gesellschaft an der Universität zu Wien. Published 1900.
Kant, I.: 1793, Critique of the Power of Judgment, Cambridge University Press, Translated by Paul Guyer and Eric Matthews, edited by Paul Guyer and Allen W. Wood, Published 2000. Kentner, K.L.
Kjærgaard, P. C.: 2002, ‘Hertz and Wittgenstein's Philosophy of Science’, Journal for General Philosophy of Science 33, 121–149.
Lakoff, G. and Johnson, M.: 1980, Metaphors we live by, USA: The University of Chicago Press.
Locke, J.: 1690, An Essay Concerning Human Understanding, Fontana Philosophy Classics, London: William Collins and Sons and Co. Ltd.
Lützen, J.: 1998, ‘Hertz and the Geometrisation of Mechanics’, in: Baird, D., Nordmann, A. and Hughes, R. I. G. (eds.), Heinrich Hertz: Classical physicist, Modern Philosopher, No. 198 in Boston Studies in the Philosophy of Science, Kluwer Academic Publishers, pp. 103–122.
Majer, U.: 1998, ‘Heinrich Hertz's Picture-Conception of Theories: Its Elaboration by Hilbert, Weyl, and Ramsey’, in: Baird, D., Nordmann, A. and Hughes, R. I. G. (eds.), Heinrich Hertz: Classical physicist, Modern Philosopher, No. 198 in Boston Studies in the Philosophy of Science, Kluwer Academic Publishers, pp. 225–242.
Meyerson, E.: 1921, Explanations in Science, No. 128 in Boston Studies in the Philosophy of Science, Kluwer Academic Publishers, Published 1992.
Peirce, C. S., Collected Papers of Charles Sanders Peirce, Vol. 1–8. Harvard University Press, Edited by Charles Hartshorne and Paul Weiss and Arthur Burks, Published 1931-58.
Peirce, C. S.: 1900, ‘Note [On Hertz's The Principles of Mechanics Presented in a New Form]’, The Nation 70(15 March), 203–204. From Kentner and Cook (1978), p. 237.
Saunders, S.: 1998, ‘Hertz's Principles’, in: Baird, D., Nordmann, A., and Hughes, R. I. G. (eds.), Heinrich Hertz: Classical physicist, Modern Philosopher, No. 198 in Boston Studies in the Philosophy of Science. Kluwer Academic Publishers, pp. 123–154.
Schiemann, G.: 1998, ‘The Loss of World in the Image: Origin and Development of the Concept of Image in the Thought of Hermann von Helmholtz and Heinrich Hertz’, in: Baird, D., Nordmann, A., and Hughes, R. I. G. (eds.): Heinrich Hertz: Classical physicist, Modern Philosopher, No. 198 in Boston Studies in the Philosophy of Science. Kluwer Academic Publishers, pp. 25–38.
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Christiansen, F.V. Heinrich Hertz’s Neo-Kantian Philosophy of Science, and its Development by Harald Høffding. J Gen Philos Sci 37, 1–20 (2006). https://doi.org/10.1007/s10838-006-0486-0
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DOI: https://doi.org/10.1007/s10838-006-0486-0