Abstract
It is appropriate to consider three distinct phases of Mach’s changing views regarding the ultimate structure of matter. As a young ‘Dozent’ at the University of Vienna, until 1863, Mach accepted the atomic theory without reservation — at least as a useful working model and hypothesis. His earliest views on atomism are contained primarily in the investigations on the Doppler effect, capillary phenomena, spectra of gases, resonance vibrations, and the transmission of sound in the ear. In addition Mach employed the atomic theory in his compendium of physics for medical students which was published in 1863.
It is a pleasure to acknowledge the support of the National Science Foundation for research on the life and works of Ernst Mach.
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References
In another paper the author will examine Mach’s criticism of the atomic theory as contained in his major treatises, papers, and correspondence with scientists and philosophers.
Ernst Mach, ‘Einleitung’, in Beiträge zur Doppler’schen Theorie der Ton und Farbenänderung durch Bewegung, Prag 1873, p. 3.
Christian Doppler, ‘Ueber das farbige Licht der Doppelsterne und einiger anderer Gestirne des Himmels’, Abhandl. Böhmischen Ges. Wiss. [5] 12 (1843), 467–482.
Buijs Ballot, ‘Akustische Versuche auf der Niederländischen Eisenbahn, nebst gelegentlichen Bemerkungen zur Theorie des Hrn. Prof. Doppler’, Ann. Physik 66 (1845), 321–351.
J. Petzval, ‘Ueber ein allgemeines Princip der Undulationslehre: Gesetz der Erhaltung der Schwingungsdauer’, Wien, Ak. Sber. 8 (1852), 134–156; ‘Ueber die Unzukömmlichkeiten gewisser populärer Anschauungsweisen in der Undulationstheorie und ihre Unfähigkeit das Princip der Erhaltung der Schwingungsdauer zu ersetzen’, ibid., 567–586, and ibid, 9 (1852) 699–737; Doppler, ‘Bemerkungen zu dem Aufsatze: Über ein allgemeines Princip der Undulationslehre, usw.’, ibid., 587–593; v. Ettingshausen, ‘Bemerkung, derselben Gegenstand betreffend’, ibid., 593–594.
Angström, ‘Optische Untersuchungen’, Ann. Physik 170 (1855), 141–165.
Ernst Mach, ‘Ueber die Änderung des Tones und der Farbe durch Bewegung’, Wien, Ak. Sber. 41 (1860), 543–560; continued in Ann. Physik 116 (1862), 333–338.
This was first undertaken by A. Belopolsky with an arrangement of two counter-rotating discs with mirrors moving at the rate of 80 meters per second. He measured the shift in the solar Fraunhofer lines. See Astrophys..1. 13 (1901), 15–24. Several years later B. Galitzin and J. Wilip measured the Doppler shift spectroscopically using a mercury lamp source and a Michelson echelon. See St. Pét. Ac. Sc., Bull. [VI] 1 (1907), 213–223.
Ernst Mach, op. cit. (1860), p. 548.
Ernst Mach, ‘Ueber die Controverse zwischen Doppler und Petzval, bezüglich der Änderung des Tones und der Farbe durch Bewegung’, Z. Math. Physik 60 (1861), 120–126.
Ibid., p. 124.
Ernst Mach, ‘Ueber die Molekularwirkung der Flüssigkeiten’, Sber. Akad. Wiss. Wien 46 (1863), 125–134.
Ibid., p. 127.
Ibid., pp. 132–133.
Ernst Mach, Popular Scientific Lectures,La Salle, Illinois (1943), 1–16.
Ibid., p. 10.
Ibid., pp. 15–16.
Ernst Mach, ‘Ueber die Spectra chemisch verschiedener Körper’, Z. Math. Physik 17 (1862), 214–216.
Ibid., p. 216.
Ernst Mach, ‘Ueber die Gesetze des Mitschwingens’, Sber. Akad. Wiss. Wien 47 (1863), 33–48.
Ibid., p. 35.
Ernst Mach, ‘Zur Theorie des Gehörorgans’, Sber. Akad. Wiss. Wien 48 (1863), 283–300.
Ibid., p. 284.
Ibid., p. 290.
Ibid., p. 292.
Ibid., p. 300.
Ernst Mach, ‘Die Leitgedanken meiner naturwissenschaftlichen Erkenntnislehre und ihre Aufnahme durch die Zeitgenossen’, Scientia 7 (1910), 234.
Ernst Mach, Compendium der Physik für Mediziner, Vienna 1863.
Ibid.,p. vi.
Ibid., pp. 3–4.
Ibid., p. 10.
Ibid., p. 10.
Ibid., pp. 10–11.
Ibid., p. 11.
Ibid., p. 15.
Ibid., p. 188.
Ibid., p. 18.
Ibid., p. 18. Also pp. 76–85 and 89–91.
Ibid., pp. 49–55.
Ibid., pp. 91–96.
Ibid., pp. 16–18.
Ibid., p. 171.
Ibid., p. 172.
Ibid., pp. 161–163.
Ibid., pp. 55–56.
Ibid., p. 170.
Ibid., p. 14.
Ibid., p. 16. See also pp. 178–179 and 189–193.
Ibid., p. 187–188.
Ibid., p. 170.
Ibid., p. 178.
Ibid., p. 178.
Ibid., pp. 178–181.
Ibid., p. 16.
Ibid., p. 234.
Ibid., pp. 235–239.
Ibid., p. 234.
Ibid., pp. 271–272.
The subject of Mach’s use of atomistic models in relation to views on the ultimate structure of matter, as seen among his immediate predecessors and contemporaries, forms the basis of another paper.
Aus Dr. Mach’s Vorträgen über Psychophysik’, Oesterr. Zeitschrift für praktische Heilkunde 9 (1863), 146–148,167–170,202–204,225–228,242–245,260–261,277–279, 294–298,316–318,335–338,352–354,362–366.
Ibid., p. 147.
Ibid., pp. 147–148.
Ibid., pp. 167–170.
Ibid., pp. 202–204.
Ibid., pp. 225–227, 242–245.
Ibid., p. 317.
Ibid., p. 335–336.
Ibid., pp. 362–363.
Ibid., p. 364.
Ibid., p. 366.
Ernst Mach, ‘Vorläufige Bemerkungen über das Licht glühender Gase’, Z. Math. Physik 9 (1864), 69–70.
Supra, pp. 82–83.
Ibid., p. 69, 1864.
Ibid., p. 69–70.
Ernst Mach, ‘Veber einige der physiologischen Akustik angehörige Erscheinungen’, Wien, Ak. Sber. 50 (1865), 342–362.
Supra, pp. 83–85.
Ibid., p. 348.
Ibid., pp. 351–352.
Ernst Mach, Die Geschichte und Wurzel des Satzes von der Erhaltung der Energie, 2nd unaltered reprint, Leipzig, 1909. The cited quotations and references are from the Jourdain translation, Open Court, Chicago, 1911.
Ibid., pp. 86–88.
The three essays were published together in 1906 by Open Court as Space and Geometry in the Light of Physiological, Psychological and Physical Inquiry. The citation is from this edition.
Ibid., pp. 138–139.
Ernst Mach, Bemerkungen zur Lehre vom räumlichen Sehen’, Z. für Phil. und philos. Kritik 46 (1865), 1–5; ‘Bemerkungen über die Entwicklung der Raumvorstellungen’, ibid. 48 (1866), 227–232.
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Hiebert, E.N. (1970). The Genesis of Mach’s Early Views on Atomism. In: Cohen, R.S., Seeger, R.J. (eds) Ernst Mach: Physicist and Philosopher. Boston Studies in the Philosophy of Science, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1462-4_6
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