Marian Smoluchowski’s Contributions to the Philosophy of Causation

Zenon Roskal

Abstrakt
Marian Smoluchowski was a prominent Polish physicist whose greatest achievement was the development – independently of Albert Einstein – of the mathematical theory of Brownian motion. In his theoretical view of the problem of Brownian motion Smoluchowski employed the concept of causal relevance, which was never analysed in numerous publications devoted to his scientific achievement. In this article I am attempting to demonstrate that the concept of causal relevance which Smoluchowski employed in his works devoted to the issue of Brownian motion may be interpreted as analogous to the concept of causal relevance articulated by Max Kistler. I present a number of arguments which demonstrate that just such a concept of causal relevance was established by Smoluchowski. Since the explanation of the phenomenon of Brownian motion presented by Smoluchowski has been universally accepted, so in the same way the physicalistic concept of causal relevance has been widely propagated. In this I detect Smoluchowski’s contribution to the philosophy of causality. 
Słowa kluczowe: Marian Smoluchowski, causality principle, Brownian motion, causal relevance, transference theory
References
Aronson J. L., On the Grammar of ‘Cause’ in: Synthese 22, 1971, pp. 414–430. 
Bain A., Logic. Part first: Deduction. Part Second: Induction, vol. 1–2, Longmans, London 1870. 
Beale N. & Beale E., Echoes of Ingen Housz. The long lost story of the genius who rescued the Habsburgs from smallpox and became the father of photosynthesis, The Hobnob Press, Salisbury 2011. 
Bunge M., Causality. The Place of the Causal Principle in Modern Science, Harvard University Press, Cambridge, MA 1959. 
Cahan D., The Zeiss Werke and the Ultramicroscope: the Creation Scientific Instrument in Context in: J. Buchwald (ed.), Scientific Credibility and Technical Standards in 19th and early 20th century Germany and Britain, Kluwer, Dordrecht 1997, pp. 67–117. 
Casimir H. B., Haphazard Reality: Half a Century of Science, Amsterdam University Press, Amsterdam 2010. 
Chandrasekhar S., Stochastic Problems in Physics and Astronomy in: Reviews of Modern Physics 15, 1/1943, pp. 1–89. 
Chandrasekhar S., Marian Smoluchowski as the Founder of the Physics of Stochastic Phenomena in: Marian Smoluchowski. His Life and Scientific Work, (eds.) S. Chandrasekhar, M. Kac & R. Smoluchowski, Polish Scientific Publishers PWN, Warsaw 2000, pp. 21–28.  
Craver C., Explaining the Brain: Mechanisms and the Mosaic Unity of Neuroscience, Oxford University Press, New York 2007. 
Delsaulx J., Thermo–dynamic Origin of the Brownian Motions in: The Monthly Microscopical Journal 18, 1877, pp. 1–6. 
Dieks D., A Note on Causation and the Flow of Energy in: Erkenntnis 16, 1981, pp. 103–108. 
Dowe P., Physical Causation, Cambridge University Press, Cambridge 2007. 
Drouet I., Causal reasoning, causal probabilities, and conceptions of causation in: Studies in history and philosophy of biological and biomedical sciences 43, 4/2012, pp. 761–768. 
Dusenbery D., Living at Micro Scale: The Unexpected Physics of Being Small, Harvard University Press, Cambridge, MA & London 2009. 
Ebeling W. & Sokolov I., Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems, World Scientific Publishing, New Jersey & London 2005. 
Fair D., Causation and the Flow of Energy in: Erkenntnis 14, 3/1979, pp. 219–250. 
Falkenburg B. & Weinert F., Indeterminism and Determinism in Quantum Mechanics in: D. Greenberger, K. Hentschel, F. Weinert (eds.), Compendium of Quantum Physics. Concepts, Experiments, History and Philosophy, Springer Verlag, Berlin & Heidelberg 2009, pp. 307–311. 
Fernandez B. & Ripka G., Unravelling the Mystery of the Atomic Nucleus: A Sixty Year Journey 1896–1956, Springer Verlag, New York 2012. 
Frisch M., Causal Reasoning in Physics, Cambridge University Press, Cambridge 2014. 
Forman P., Weimar Culture, Causality, and Quantum Theory, 1918–1927: Adaption by German Physicists and Mathematicians to a Hostile Intellectual Environment in: Historical Studies in the Physical Sciences 3, 1971, pp. 1–115. 
García–Encinas M. J., Transference, or identity theories of causation? in: Theoria: an international journal for theory, history and foundations of science 19, 2004, pp. 31–48.
Guzzardi L., Energy, Metaphysics, and Space: Ernst Mach’s Interpretation of Energy Conservation as the Principle of Causality in: Science & Education 23, 6/2014, pp. 1269–1291. 
Heisenberg W., Kausalgesetz und Quantenmechanik in: Erkenntnis 2, 1931, pp. 172–182. 
Hitchcock Ch., Causal explanation and scientific realism in: Erkenntnis 37, 2/1992, pp. 151–178.
Illari Ph. & Russo F., Causality: Philosophical Theory Meets Scientific Practice, Oxford University Press, Oxford 2014. 
Ising G., A natural limit for the sensibility of galvanometers in: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 1, 4/1926, p. 827. 
Kac M., Marian Smoluchowski and the Evolution of Statistical Thought in Physics in: Marian Smoluchowski. His Life and Scientific Work, (eds.) S. Chandrasekhar, M. Kac & R. Smoluchowski, Polish Scientific Publishers PWN, Warsaw 2000, pp. 15–20. 
Kerker M., Brownian movement and molecular reality prior to 1900 in: Journal of Chemical Education 51, 12/1974, pp. 764–768. 
Kistler M., Reducing Causality to Transmission in: Erkenntnis 48, 1/1998, pp. 1–24. 
Kistler M., Causation as transference and responsibility in: W. Spohn, M. Ledwig & M. Esfeld (eds.), Current Issues in Causation, Paderborn, Mentis 2001, pp. 115–133. 
Kistler M., Causation and Laws of Nature, Routledge, London & New York 2006. 
Krajewski W., Four conceptions of causation in: Polish Essays in the Philosophy of the Natural Sciences, (ed.) W. Krajewski, Reidel, Dorderecht 1982, pp. 223–235. 
Krajewski W., Energetic, Informational, and Triggering Causes in: Erkenntnis 46, 1997, pp. 193–202. 
Leijenhorst C. H., Hobbes’s theory of causality and its Aristotelian background in: Monist 79, 3/1996, pp. 426–447. 
Mingers J. & Standing C., Why things happen – Developing the critical realist view of causal mechanism in: Information and Organization 27, 2017, pp. 171–189. 
Niss M., Brownian Motion as a Limit to Physical Measuring Processes: A Chapter in the History of Noise from the Physicists’ Point of View in: Perspectives on Science 24, 1/2016, pp. 29–44. 
Pearle P. & al., What Brown saw and you can too in: American Journal of Physics 78, 12/2010, pp. 1278–1289. 
Philipse A. P., Notes on Brownian motion, Utrecht 2011 [available from https://userpages.umbc.edu/~dfrey1/ench630/philipse_notes_on_brownian _motion.pdf, retrieved Jul. 27, 2018]. 
Piasecki J., Centenary of Marian Smoluchowski’s theory of Brownian motion, in: Acta Physica Polonica B 38, 2007, pp. 1623–1629. 
Psillos S., Regularity Theories in: H. Beebee, Ch. Hitchcock & P. Menzies (eds.), The Oxford Handbook of Causation, Oxford University Press, Oxford 2012. 
Schlegel R., Mario Bunge on Causality in: Philosophy of Science 28, 1/1961, pp. 72–82. 
Shlesinger M. F., Physics in the noise in: Nature 411, 7/2001, p. 641. 
Smit P., Jan Ingen–Housz (1730–1799): Some New Evidence About His Life and Work in: Janus 67, 1980, pp.125–139. 
Smoluchowski M., Zur kinetischen Theorie der Brownschen Molekularbewegung und der Suspensionen in: Annalen der Physik 21, 1906, p. 756–780. 
Smoluchowski M., Über Brownsche Molekularbewegung unter Einwirkung äußerer Kräfte und deren Zusammenhang mit der verallgemeinerten Diffusionsgleichung in: Annalen der Physik 24, 1915, pp. 1103–1112. 
Smoluchowski M., Drei Vorträge über Diffusion, Brownsche Molekularbewegung und Koagulation von Kolloidteilchen in: Physikalische Zeitschrift 17, 1916, pp. 557–571 & pp. 585–599. 
Smoluchowski M., Über den Begriff des Zufalls und den Ursprung der Wahrscheinlichkeitsgesetze in: Die Naturwissenschaften 6, 1918, pp. 253–263 [reprinted in: Pisma Mariana Smoluchowskiego vol. 3, 1, PAU, Kraków 1928]. 
Sosa E., Scriven on causation as explantion in: Theory and Decision 13, 1981, pp. 357–361. 
Struik D. J., On the Foundations of the Theory of Probabilities in: Philosophy of Science 1, 1934, pp. 50–70. 
Średniawa B., The Collaboration of Marian Smoluchowski and Theodor Svedberg on the Brownian Motion and Density Fluctuations in: Centaurus 35, 1993, pp. 325–353. 
Ulam S., Marian Smoluchowski and the Theory of Probabilities in Physics in: M. C. Reynolds & G. C. Rota (eds.), Science, Computers, and People: From the tree of mathematics, Birkhäuser, Cambridge, MA 1986, p. 241–251. 
van der Pas P. W., The Discovery of the Brownian Motion in: Scientiarum Historia 13, 1971, pp. 127–132. von Plato J., Creating Modern Probability: Its Mathematics, Physics, and Philosophy in: Historical Perspective, Cambridge University Press, Cambridge & New York 1994. 
Wiener Ch., Erklärung des atomistischen Wesens des tropfbar–flüssigen Körperzustandes, und Bestätigung desselben durch die sogenannten Molecularbewegungen in: Poggendorffs Annallen 118, 1863, pp. 79–94.