Abstract
The present paper studies a specific way of addressing the question whether the laws involving the basic constituents of nature are statistical. While most German physicists, above all Planck, treated the issues of determinism and causality within a Kantian framework, the tradition which I call Vienna Indeterminism began from Mach’s reinterpretation of causality as functional dependence. This severed the bond between causality and realism because one could no longer avail oneself of a priori categories as a criterion for empirical reality. Hence, an independent reality criterion had to be sought, a problem which all three physicists to be studied solved in different ways that were mainly conditioned by their different concepts of probability. In order to prevent a dissipation of intuited facts, Mach had to resort to a principle of unique determination as his reality criterion, especially when discussing the Principle of Least Action. Giving theories more independence, Boltzmann understood atomism as property reduction to precisely defined theoretical entities and their interactions. While this served as a relative reality criterion, he also advocated a constructivist one because atomism was already implied by our finitary reasoning power. Finally, Exner contemplated the idea that all apparently deterministic laws are only a macroscopic limit of an irreducible indeterminism, because by adopting the frequency interpretation, observable collectives could be considered as the real basic entities.
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REFERENCES
Benndorf, H.: 1927, 'Zur Erinnerung an Franz Exner', Physikalische Zeitschrift 28, 397-409.
Blackmore, J. (ed.): 1992, Ernst Mach-A Deeper Look. Documents and New Perspectives, Kluwer, Dordrecht.
Blackmore, J. (ed.): 1995a, Ludwig Boltzmann. His Later Life and Philosophy, 1900-1906. Book One: A Documentary History, Kluwer, Dordrecht.
Blackmore, J.: 1995b, Ludwig Boltzmann. His Later Life and Philosophy, 1900-1906. Book Two: The Philosopher, Kluwer, Dordrecht.
Boltzmann, L.: 1866, 'Ñber die mechanische Bedeutung des zweiten Hauptsatzes der Wärmetheorie', Sitzungsberichte der Mathematisch-Naturwissenschaftlichen Classe der Kaiserlichen Akademie der Wissenschaften, 53/II, 195-220.
Boltzmann, L.: 1897, Vorlesungen über die Prinzipe der Mechanik,vol.I,J.A.Barth, Leipzig (partially translated in (Boltzmann, 1974)).
Boltzmann, L.: 1898, 'Ñber die sogenannte H-Kurve', Mathematische Annalen, 50, 325-332.
Boltzmann, L.: 1904, Vorlesungen über die Prinzipe der Mechanik, vol. II, J. A. Barth, Leipzig (partially translated in (Boltzmann, 1974)).
Boltzmann, L.: 1905, Populäre Schriften, J. A. Barth, Leipzig (partially translated in (Boltzmann, 1974)).
Boltzmann, L.: 1974, in B. McGuinness (ed.), Theoretical Physics and Philosophical Problems, Reidel, Dordrecht.
Broda, E.: 1955, Ludwig Boltzmann. Mensch, Physiker, Philosoph, Franz Deuticke, Wien.
Brush, S. G.: 1990, 'Ludwig Boltzmann and the Foundations of Natural Science', in (Fasol-Boltzmann, 1990), pp. 43-61.
Exner, F. S.: 1922, Vorlesungen über die physikalischen Grundlagen der Naturwis-senschaften, Franz Deuticke, Leipzig-Wien.
Exner, F. S.: 1909, Ñber Gesetze in Naturwissenschaft und Humanistik, Alfred Hölder, Wien-Leipzig.
Exner, F. S.: 1926, Vom Chaos zur Gegenwart, unpublished typescript.
Fasol-Boltzmann, I. M. (ed.): 1990, Ludwig Boltzmann. Principien der Naturfilosofi. Lectures on Natural Philosophy, Springer, Heidelberg-Berlin-New York.
Frank, P.: 1907, 'Kausalgesetz und Erfahrung', Ostwald's Annalen der Naturphilosophe 6, 443-450.
Frank, P.: 1961, Modern Science and Its Philosophy, Collier Books, New York.
Frank, P.: 1998, The Law of Causality and Its Limits, Kluwer, Dordrecht.
Haller, R.: 1986, 'Gibt es eine Österreichische Philosophie', in: Fragen zu Wittgenstein und Aufsätze zur Österreichischen Philosophie, Rodopi, Amsterdam, pp. 31-43.
Hanle, P. A: 1980, 'Indeterminacy before Heisenberg: The Case of Franz Exner and Erwin Schrödinger', Studies in the History of Physics 2, 225-69.
Heidelberger, M.: 1993, Die innere Seite der Natur. Gustav Theodor Fechners wissenschaftlich-philosophische Weltauffassung, Vittorio Klostermann, Frankfurt am Main.
Höflechner, W. (ed.): 1994, Ludwig Boltzmann. Leben und Briefe, Akademische Druck-und Verlagsanstalt, Graz.
Karlik, B. and E. Schmid: 1982, Franz Serafin Exner und sein Kreis. Ein Beitrag zur Geschichte der Physik in Österreich, Verlag der Österreichischen Akademie der Wissenschaften, Wien.
Klein, M. J: 1973, 'The Development of Boltzmann's Statistical Ideas', in E. G. D. Cohen and Walter Thirring (eds.), Acta Physica Austriaca, Suppl. X (The Boltzmann Equation. Theory and Applications), pp. 53-106.
Kries, J. von: 1886, Prinzipien der Wahrscheinlichkeitsrechnung, Mohr, Freiburg i.B.
Lemons, D. S.: 1997, Perfect Form. Variational Principles, Methods, and Applications in Elementary Physics, Princeton University Press, Princeton, NJ.
Mach, E.: 1910, 'Die Leitgedanken meiner naturwissenschaftlichen Erkenntnislehre und ihre Aufnahme durch die Zeitgenossen', Scientia VII (anno IV), pp. 225-40; English translation in Blackmore (1992), pp. 133-40.
Mach, E.: 1919, Die Principien der Wärmelehre. Historisch-kritisch entwickelt,J.A.Barth, Leipzig; English translation: Principles of the Theory of Heat. Historically and Critically Elucidated, Reidel, Dordrecht, 1986.
Mach, E.: 1988, Die Mechanik in ihrer Entwicklung. Historisch-kritisch dargestellt,R. Wahsner and H.-H. von Borzeszkowski (eds.), Akademie-Verlag, Berlin 1988. Author-ized English translation: The Science of Mechanics. Account of Its Development,Open Court, La Salle, IL, 1989.
Mach, E.: 1991, Erkenntnis und Irrtum. Skizzen zur Psychologie der Forschung,Wis-senschaftliche Buchgesellschaft, Darmstadt; English translation: Knowledge and Error, Reidel, Dordrecht.
Ostwald, W.: 1893, 'DeUeber das Princip des ausgezeichneten Falles', Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig (Mathematisch-Physische Klasse), 45, S. Hirzel, Leipzig, pp. 599-603.
Petzoldt, J.: 1895, 'Das Gesetz der Eindeutigkeit', Vierteljahrsschrift für wissenschaftliche Philosophie 19, 148-203.
Petzoldt, J.: 1890, 'Maxima, Minima und Oekonomie', Vierteljahrsschrift für wis-senschaftliche Philosophie 14, 206-39, 354-66, 417-42.
Planck, M.: 1944, 'Dynamische und statistische Gesetzmäßigkeit', in Wege zur physikalis-chen Erkenntnis, S. Hirzel, Leipzig, pp. 54-67.
Putnam, H.: 1975, 'Minds and Machines', in Mind, Language and Reality. Philosophical Papers, vol. 2, Cambridge University Press, Cambridge, pp. 362-85.
Schrödinger, E.: 1929, 'Was ist ein Naturgesetz?', Naturwissenschaften 17, 9-11.
Sommerfeld, A.: 1927, 'Franz Exner', Jahrbuch der Bayerischen Akademie der Wis-senschaften 192 6, Oldenbourg, München, p. 27.
Stöltzner, M.: 1994, 'Action Principles and Teleology', in Harald Atmanspacher and Gerhard Dalenoort (eds.), Inside Versus Outside, Springer, Berlin-New York, pp. 33-62.
Stöltzner, M.: 1995, 'Levels of Physical Theories', in W. DePauli-Schimanovich, E. Köhler, F. Stadler (eds.), The Foundational Debate. Complexity and Constructivity in Mathematics and Physics, Kluwer, Dordrecht, pp. 47-64.
Thirring, W.: 1995, 'Do the Laws of Nature Evolve?', in M. P. Murphy and L. A. J. O'Neill (eds.), What is Life? The Next Fifty Years. Speculations on the Future of Biology, Cambridge University Press, Cambridge, pp. 131-36.
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Stöltzner, M. Vienna Indeterminism: Mach, Boltzmann, Exner. Synthese 119, 85–111 (1999). https://doi.org/10.1023/A:1005243320885
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DOI: https://doi.org/10.1023/A:1005243320885