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Volumn 2, Issue 1, 2000, Pages 6-29

Common Frontiers of the Exact Sciences and the Humanities

Author keywords

Atom; Causality; Chance; Exact sciences; Franz S. Exner; Hermann Helmholtz; Laws of nature; Mechanics; Oswald spengler; Probability; Reduction; The humanities; Truth; William S. Jevons

Indexed keywords


EID: 0347933168     PISSN: 14226944     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000160050034     Document Type: Article
Times cited : (12)

References (58)
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    • The Reduction of Thermodynamics to Mechanics - Historical-Philosophical Problem
    • Berlin: Max-PIanck-Institut für Wissenschaftsgeschichte. Preprint 38
    • For an analysis of attempts to cast the study of thermal phenomena in the form of mechanics, and arguments that support reduction without reductionism, see Erwin N. Hiebert, "The Reduction of Thermodynamics to Mechanics - Historical-Philosophical Problem," Memorial Symposium for Lorenz Krüger (Berlin: Max-PIanck-Institut für Wissenschaftsgeschichte, 1996). Preprint 38, pp. 43-60.
    • (1996) Memorial Symposium for Lorenz Krüger , pp. 43-60
    • Hiebert, E.N.1
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    • Musical Thought and Practice: Links to Helmholtz's Tonempfindungen
    • Lorenz Krüger, ed., Berlin: Akademie Verlag
    • Erwin and Elfrieda Hiebert, "Musical Thought and Practice: Links to Helmholtz's Tonempfindungen," in Lorenz Krüger, ed., Universalgenie Helmholtz. Rückblick nach 100 Jahren (Berlin: Akademie Verlag, 1994), pp. 295-311.
    • (1994) Universalgenie Helmholtz. Rückblick Nach 100 Jahren , pp. 295-311
    • Erwin1    Hiebert, E.2
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    • The Worldly Philosophy of William Stanley Jevons
    • A concise and clear analysis on this aspect of Jevons's ideas is given by Margaret Schabas in "The Worldly Philosophy of William Stanley Jevons," Victorian Studies 28 (1984), 129-147. For an analysis of Jevons's career and contributions to logic, mathematics, and economics see also M. Schabas, A World Ruled by Numbers: William Stanley Jevons and the Rise of Mathematical Economics (Princeton: Princeton University Press, 1990).
    • (1984) Victorian Studies , vol.28 , pp. 129-147
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    • Princeton: Princeton University Press
    • A concise and clear analysis on this aspect of Jevons's ideas is given by Margaret Schabas in "The Worldly Philosophy of William Stanley Jevons," Victorian Studies 28 (1984), 129-147. For an analysis of Jevons's career and contributions to logic, mathematics, and economics see also M. Schabas, A World Ruled by Numbers: William Stanley Jevons and the Rise of Mathematical Economics (Princeton: Princeton University Press, 1990).
    • (1990) A World Ruled by Numbers: William Stanley Jevons and the Rise of Mathematical Economics
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    • Cambridge: Cambridge University Press
    • These matters and others that are closely related have recently been subjected to timely and critical historical analyses that impinge on the relationship between the natural and the social sciences: Philip Morowski, More Heat Than Light. Economics as Social Physics: Physics as Nature's Economics (Cambridge: Cambridge University Press, 1989); I. Bernard Cohen, ed., The Natural Sciences and the Social Sciences: Some Critical and Historical Perspectives (Dordrecht: Kluwer Academic, 1994); Philip Morowski, Natural Images in Economic Thought: "Markets Red in Tooth and Claw" (Cambridge: Cambridge University Press, 1994).
    • (1989) More Heat Than Light. Economics as Social Physics: Physics as Nature's Economics
    • Morowski, P.1
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    • Dordrecht: Kluwer Academic
    • These matters and others that are closely related have recently been subjected to timely and critical historical analyses that impinge on the relationship between the natural and the social sciences: Philip Morowski, More Heat Than Light. Economics as Social Physics: Physics as Nature's Economics (Cambridge: Cambridge University Press, 1989); I. Bernard Cohen, ed., The Natural Sciences and the Social Sciences: Some Critical and Historical Perspectives (Dordrecht: Kluwer Academic, 1994); Philip Morowski, Natural Images in Economic Thought: "Markets Red in Tooth and Claw" (Cambridge: Cambridge University Press, 1994).
    • (1994) The Natural Sciences and the Social Sciences: Some Critical and Historical Perspectives
    • Bernard Cohen, I.1
  • 10
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    • Cambridge: Cambridge University Press
    • These matters and others that are closely related have recently been subjected to timely and critical historical analyses that impinge on the relationship between the natural and the social sciences: Philip Morowski, More Heat Than Light. Economics as Social Physics: Physics as Nature's Economics (Cambridge: Cambridge University Press, 1989); I. Bernard Cohen, ed., The Natural Sciences and the Social Sciences: Some Critical and Historical Perspectives (Dordrecht: Kluwer Academic, 1994); Philip Morowski, Natural Images in Economic Thought: "Markets Red in Tooth and Claw" (Cambridge: Cambridge University Press, 1994).
    • (1994) Natural Images in Economic Thought: "Markets Red in Tooth and Claw"
    • Morowski, P.1
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    • ed. Joachim Ritter, Basel and Stuttgart: Schwabe & Co. Verlag
    • A. Diemer, Historisches Wörterbuch der Philosophie, ed. Joachim Ritter, 3 (Basel and Stuttgart: Schwabe & Co. Verlag, 1974), 211, 215. See also Erich Rothacker, Logik und Systematik der Geisteswissenschaften (Bonn: H. Bouvier and Co. Verlag, 1947), p. 3; Rothacker, in Werner Ziegenfuss and Gertrud Jung, Philosophen-Lexikon. Handwörterbuch der Philosophie nach Personen (Berlin: W. de Gruyter, 1950), pp. 375-382.
    • (1974) Historisches Wörterbuch der Philosophie , vol.3 , pp. 211
    • Diemer, A.1
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    • Bonn: H. Bouvier and Co. Verlag
    • A. Diemer, Historisches Wörterbuch der Philosophie, ed. Joachim Ritter, 3 (Basel and Stuttgart: Schwabe & Co. Verlag, 1974), 211, 215. See also Erich Rothacker, Logik und Systematik der Geisteswissenschaften (Bonn: H. Bouvier and Co. Verlag, 1947), p. 3; Rothacker, in Werner Ziegenfuss and Gertrud Jung, Philosophen-Lexikon. Handwörterbuch der Philosophie nach Personen (Berlin: W. de Gruyter, 1950), pp. 375-382.
    • (1947) Logik und Systematik der Geisteswissenschaften , pp. 3
    • Rothacker, E.1
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    • Werner Ziegenfuss and Gertrud Jung, Berlin: W. de Gruyter
    • A. Diemer, Historisches Wörterbuch der Philosophie, ed. Joachim Ritter, 3 (Basel and Stuttgart: Schwabe & Co. Verlag, 1974), 211, 215. See also Erich Rothacker, Logik und Systematik der Geisteswissenschaften (Bonn: H. Bouvier and Co. Verlag, 1947), p. 3; Rothacker, in Werner Ziegenfuss and Gertrud Jung, Philosophen-Lexikon. Handwörterbuch der Philosophie nach Personen (Berlin: W. de Gruyter, 1950), pp. 375-382.
    • (1950) Philosophen-Lexikon. Handwörterbuch der Philosophie Nach Personen , pp. 375-382
    • Rothacker1
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    • Theil Leipzig: Johann Ambrosius Barth, Vorwort
    • Ludwig Boltzmann, Vorlesungen über Gastheorie, II. Theil (Leipzig: Johann Ambrosius Barth, 1898), Vorwort, pp. v-vi. All translations from the German in this paper are those of the author.
    • (1898) Vorlesungen Über Gastheorie , vol.2
    • Boltzmann, L.1
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    • Theil Leipzig: Johann Ambrosius Barth, Vorwort, p. v. Bring' vor, was wahr ist;- Schreib' so, dass es klar ist-Und verficht's, bis es mit dir gar ist
    • Boltzmann, Vorlesungen über die Mechanik, 1. Theil (Leipzig: Johann Ambrosius Barth, 1897), Vorwort, p. v. Bring' vor, was wahr ist;-Schreib' so, dass es klar ist-Und verficht's, bis es mit dir gar ist!
    • (1897) Vorlesungen Über die Mechanik , vol.1
    • Boltzmann1
  • 17
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    • The Austrian Revolt in Classical Mechanics: The Route from Probability and Chance to Radioactivity
    • July 7, in Paris is in press
    • My paper on this topic entitled: "The Austrian Revolt in Classical Mechanics: The Route from Probability and Chance to Radioactivity" (presented July 7, 1997, in Paris at an International Conference on Radioactivity and Culture) is in press.
    • (1997) International Conference on Radioactivity and Culture
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    • Die feierliche Inauguration des Rektors der Wiener Universität für das Studienjahr 1908/1909, 15. Oktober 1908 Wien: Selbstverlag der K. K. Universität
    • Franz Exner, "Ueber Gesetze in Naturwissenschaft und Humanistik." Die feierliche Inauguration des Rektors der Wiener Universität für das Studienjahr 1908/1909, 15. Oktober 1908 (Wien: Selbstverlag der K. K. Universität, 1908).
    • (1908) Ueber Gesetze in Naturwissenschaft und Humanistik
    • Exner, F.1
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    • 3-volume edited by Fritz Hasenöhrl Leipzig; New York: Chelsea Publishing Co.
    • In addition to Boltzmann's 3-volume Wissenschaftliche Abhandlungen edited by Fritz Hasenöhrl (Leipzig, 1900; New York: Chelsea Publishing Co., 1968), and Populäre Schriften (Leipzig: Johann Ambrosius Barth, 1905), the best direct source for Boltzmann's philosophy of the sciences is Ludwig Boltzmann, Principien der Naturfilosofi, 1903-1906, edited by Ilse M. Fasol-Boltzmann (Berlin: Springer-Verlag, 1990).
    • (1900) Wissenschaftliche Abhandlungen
    • Boltzmann's1
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    • Leipzig: Johann Ambrosius Barth
    • In addition to Boltzmann's 3-volume Wissenschaftliche Abhandlungen edited by Fritz Hasenöhrl (Leipzig, 1900; New York: Chelsea Publishing Co., 1968), and Populäre Schriften (Leipzig: Johann Ambrosius Barth, 1905), the best direct source for Boltzmann's philosophy of the sciences is Ludwig Boltzmann, Principien der Naturfilosofi, 1903-1906, edited by Ilse M. Fasol-Boltzmann (Berlin: Springer-Verlag, 1990).
    • (1905) Populäre Schriften
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    • edited by Ilse M. Fasol-Boltzmann Berlin: Springer-Verlag
    • In addition to Boltzmann's 3-volume Wissenschaftliche Abhandlungen edited by Fritz Hasenöhrl (Leipzig, 1900; New York: Chelsea Publishing Co., 1968), and Populäre Schriften (Leipzig: Johann Ambrosius Barth, 1905), the best direct source for Boltzmann's philosophy of the sciences is Ludwig Boltzmann, Principien der Naturfilosofi, 1903-1906, edited by Ilse M. Fasol-Boltzmann (Berlin: Springer-Verlag, 1990).
    • (1990) Ludwig Boltzmann, Principien der Naturfilosofi, 1903-1906
    • Boltzmann's1
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    • Exner, Inauguration (ref. 13), pp. 51-52
    • Exner, Inauguration (ref. 13), pp. 51-52.
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    • Leipzig & Vienna: Franz Deuticke
    • Franz Exner, Vorlesungen über die physikalischen Grundlagen der Naturwissenschaften, 2nd enlarged edition (Leipzig & Vienna: Franz Deuticke, 1922). Oswald Spengler, Der Untergang des Abendlandes. Umrisse einer Morphologie der Welt-Geschichte, Vol. 1, Gestalt und Wirklichkeit (Vienna & Leipzig: Wilhelm Braumüller, 1918), 639 pp. The second "totally reworked edition" of Untergang was published in Munich in 1922. The authorized English translation from the second German edition was made by Charles Francis Atkinson: The Decline of the West, Vol. 1, Form and Actuality (New York: Alfred A. Knopf, 1926). See especially the translator's Preface, pp. ix-xii. For a précis of Spengler as philosopher see W. H. Dray, "Oswald Spengler," The Encyclopedia of Philosophy 7 (New York: Macmillan and Free Press; London: Collier-Macmillan, 1967), 527-530. For an analysis of post-World War I discussions on causality that lie at the root of the "capitulation to Spenglerism" (not strictly the views expressed by Spengler in Untergang as given in this paper) see Paul Forman, "Weimar Culture, Causality, and Quantum theory, 1918-1927: Adaptation by German Physicists and Mathematicians to a Hostile Intellectual Environment," Historical Studies in the Physical Sciences, 3 (1971) 1-115. For comments about Exner see footnote 158 and pp. 74-75 regarding Exner as an early convert to acausality.
    • (1922) Vorlesungen Über die Physikalischen Grundlagen der Naturwissenschaften, 2nd Enlarged Edition
    • Exner, F.1
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    • Gestalt und Wirklichkeit Vienna & Leipzig: Wilhelm Braumüller
    • Franz Exner, Vorlesungen über die physikalischen Grundlagen der Naturwissenschaften, 2nd enlarged edition (Leipzig & Vienna: Franz Deuticke, 1922). Oswald Spengler, Der Untergang des Abendlandes. Umrisse einer Morphologie der Welt-Geschichte, Vol. 1, Gestalt und Wirklichkeit (Vienna & Leipzig: Wilhelm Braumüller, 1918), 639 pp. The second "totally reworked edition" of Untergang was published in Munich in 1922. The authorized English translation from the second German edition was made by Charles Francis Atkinson: The Decline of the West, Vol. 1, Form and Actuality (New York: Alfred A. Knopf, 1926). See especially the translator's Preface, pp. ix-xii. For a précis of Spengler as philosopher see W. H. Dray, "Oswald Spengler," The Encyclopedia of Philosophy 7 (New York: Macmillan and Free Press; London: Collier-Macmillan, 1967), 527-530. For an analysis of post-World War I discussions on causality that lie at the root of the "capitulation to Spenglerism" (not strictly the views expressed by Spengler in Untergang as given in this paper) see Paul Forman, "Weimar Culture, Causality, and Quantum theory, 1918-1927: Adaptation by German Physicists and Mathematicians to a Hostile Intellectual Environment," Historical Studies in the Physical Sciences, 3 (1971) 1-115. For comments about Exner see footnote 158 and pp. 74-75 regarding Exner as an early convert to acausality.
    • (1918) Der Untergang des Abendlandes. Umrisse Einer Morphologie der Welt-Geschichte , vol.1
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    • Form and Actuality New York: Alfred A. Knopf
    • Franz Exner, Vorlesungen über die physikalischen Grundlagen der Naturwissenschaften, 2nd enlarged edition (Leipzig & Vienna: Franz Deuticke, 1922). Oswald Spengler, Der Untergang des Abendlandes. Umrisse einer Morphologie der Welt-Geschichte, Vol. 1, Gestalt und Wirklichkeit (Vienna & Leipzig: Wilhelm Braumüller, 1918), 639 pp. The second "totally reworked edition" of Untergang was published in Munich in 1922. The authorized English translation from the second German edition was made by Charles Francis Atkinson: The Decline of the West, Vol. 1, Form and Actuality (New York: Alfred A. Knopf, 1926). See especially the translator's Preface, pp. ix-xii. For a précis of Spengler as philosopher see W. H. Dray, "Oswald Spengler," The Encyclopedia of Philosophy 7 (New York: Macmillan and Free Press; London: Collier-Macmillan, 1967), 527-530. For an analysis of post-World War I discussions on causality that lie at the root of the "capitulation to Spenglerism" (not strictly the views expressed by Spengler in Untergang as given in this paper) see Paul Forman, "Weimar Culture, Causality, and Quantum theory, 1918-1927: Adaptation by German Physicists and Mathematicians to a Hostile Intellectual Environment," Historical Studies in the Physical Sciences, 3 (1971) 1-115. For comments about Exner see footnote 158 and pp. 74-75 regarding Exner as an early convert to acausality.
    • (1926) The Decline of the West , vol.1
    • Atkinson, C.F.1
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    • Oswald Spengler
    • New York: Macmillan and Free Press; London: Collier-Macmillan
    • Franz Exner, Vorlesungen über die physikalischen Grundlagen der Naturwissenschaften, 2nd enlarged edition (Leipzig & Vienna: Franz Deuticke, 1922). Oswald Spengler, Der Untergang des Abendlandes. Umrisse einer Morphologie der Welt-Geschichte, Vol. 1, Gestalt und Wirklichkeit (Vienna & Leipzig: Wilhelm Braumüller, 1918), 639 pp. The second "totally reworked edition" of Untergang was published in Munich in 1922. The authorized English translation from the second German edition was made by Charles Francis Atkinson: The Decline of the West, Vol. 1, Form and Actuality (New York: Alfred A. Knopf, 1926). See especially the translator's Preface, pp. ix-xii. For a précis of Spengler as philosopher see W. H. Dray, "Oswald Spengler," The Encyclopedia of Philosophy 7 (New York: Macmillan and Free Press; London: Collier-Macmillan, 1967), 527-530. For an analysis of post-World War I discussions on causality that lie at the root of the "capitulation to Spenglerism" (not strictly the views expressed by Spengler in Untergang as given in this paper) see Paul Forman, "Weimar Culture, Causality, and Quantum theory, 1918-1927: Adaptation by German Physicists and Mathematicians to a Hostile Intellectual Environment," Historical Studies in the Physical Sciences, 3 (1971) 1-115. For comments about Exner see footnote 158 and pp. 74-75 regarding Exner as an early convert to acausality.
    • (1967) The Encyclopedia of Philosophy , vol.7 , pp. 527-530
    • Dray, W.H.1
  • 38
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    • Weimar Culture, Causality, and Quantum theory, 1918-1927: Adaptation by German Physicists and Mathematicians to a Hostile Intellectual Environment
    • Franz Exner, Vorlesungen über die physikalischen Grundlagen der Naturwissenschaften, 2nd enlarged edition (Leipzig & Vienna: Franz Deuticke, 1922). Oswald Spengler, Der Untergang des Abendlandes. Umrisse einer Morphologie der Welt-Geschichte, Vol. 1, Gestalt und Wirklichkeit (Vienna & Leipzig: Wilhelm Braumüller, 1918), 639 pp. The second "totally reworked edition" of Untergang was published in Munich in 1922. The authorized English translation from the second German edition was made by Charles Francis Atkinson: The Decline of the West, Vol. 1, Form and Actuality (New York: Alfred A. Knopf, 1926). See especially the translator's Preface, pp. ix-xii. For a précis of Spengler as philosopher see W. H. Dray, "Oswald Spengler," The Encyclopedia of Philosophy 7 (New York: Macmillan and Free Press; London: Collier-Macmillan, 1967), 527-530. For an analysis of post-World War I discussions on causality that lie at the root of the "capitulation to Spenglerism" (not strictly the views expressed by Spengler in Untergang as given in this paper) see Paul Forman, "Weimar Culture, Causality, and Quantum theory, 1918-1927: Adaptation by German Physicists and Mathematicians to a Hostile Intellectual Environment," Historical Studies in the Physical Sciences, 3 (1971) 1-115. For comments about Exner see footnote 158 and pp. 74-75 regarding Exner as an early convert to acausality.
    • (1971) Historical Studies in the Physical Sciences , vol.3 , pp. 1-115
    • Forman, P.1
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    • Spengler, Untergang, 1918, p. vii. All quotations have been made directly by the author from the first (1918) edition of Untergang because that is the version that Exner read and reacted to.
    • (1918) Untergang
    • Spengler1
  • 45
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    • Ibid., p. vii. This sentence about the German military achievement is included in the 1918 Preface that is reproduced in the 2nd 1922 edition. Oddly, it was deleted in the English translation of 1926 by Atkinson.
    • Untergang
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    • völlig umgestalte Ausgabe, Munich
    • Spengler, Untergang, völlig umgestalte Ausgabe, Munich 1922.
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    • Faustische und Apollinische Naturerkenntnis
    • Spengler, Untergang, 1919, Faustische und Apollinische Naturerkenntnis, pp. 547-639. Decline, 1926, pp. 377-428. Spengler represents the Apollinian soul (Nietzsche's term) as the soul of ancient/Greek/classical culture symbolized by the manly life-sized nude statue: local, visible, tangible, static, and finite in the space and time of the here and now. By contrast the Faustian soul (of Goethe) is characterized by deep consciousness and introspection. The soul's prime symbol (Ur-Symbol) is boundless space filled with dynamic activity.
    • (1919) Untergang , pp. 547-639
    • Spengler1
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    • Spengler, Untergang, 1919, Faustische und Apollinische Naturerkenntnis, pp. 547-639. Decline, 1926, pp. 377-428. Spengler represents the Apollinian soul (Nietzsche's term) as the soul of ancient/Greek/classical culture symbolized by the manly life-sized nude statue: local, visible, tangible, static, and finite in the space and time of the here and now. By contrast the Faustian soul (of Goethe) is characterized by deep consciousness and introspection. The soul's prime symbol (Ur-Symbol) is boundless space filled with dynamic activity.
    • (1926) Decline , pp. 377-428
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    • Spengler, Untergang, 1919, p. 620. Spengler, commonly known as a philosopher, had received a doctorate in 1904, with a thesis on Heraclitus, after studying mathematics, natural science, history, literature, and philosophy at the universities in Munich, Berlin, and Halle.
    • (1919) Untergang , pp. 620
    • Spengler1
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    • London: Collins and Brown. Essay by G. R. Elton
    • Juliet Gardiner, ed., The History Debate (London: Collins and Brown, 1990). Essay by G. R. Elton, pp. 6-12.
    • (1990) The History Debate , pp. 6-12
    • Gardiner, J.1
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    • ref. 18
    • Exner, Vorlesungen, 1919 (ref. 18), p. 714.
    • (1919) Vorlesungen , pp. 714
    • Exner1


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