Genidentity and Topology of Time: Kurt Lewin and Hans Reichenbach

Chapter
Part of the Boston Studies in the Philosophy and History of Science book series (BSPS, volume 273)

Abstract

In the early 1920s, Hans Reichenbach and Kurt Lewin presented two topological accounts of time that appear to be interrelated in more than one respect. Despite their different approaches, their underlying idea is that time order is derived from specific structural properties of the world. In both works, moreover, the notion of genidentity—i.e., identity through or over time—plays a crucial role. Although it is well known that Reichenbach borrowed this notion from Kurt Lewin, not much has been written about their relationship, nor about the way Lewin implemented this notion in his own work in order to ground his topology. This paper examines these two early versions of the topology of time, and follows the extent of Lewin’s influence on Reichenbach’s proposal.

Keywords

Temporal Order Light Signal Causal Chain Time Order World Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

Research for this paper was variously supported by a Swiss Research Fellowship from the Canton of Ticino, as well as by a grant from the Swiss National Science Foundation (PA00P1–134177). Early versions of this paper were presented at several conferences including the conference “The Berlin Group: Knowledge Probability, Interdisciplinarity” held in Paderborn in September 2009, and to the Visiting Fellows’ reading group at the Center for Philosophy of Science at the University of Pittsburgh in Spring 2009. On both occasions, I have greatly benefitted from the remarks made by the audience, especially the invaluable suggestions from Chris Pincock and Ulrich Krohs. I am also grateful to Sheila Sandapen, Joe McPeak, and Jacques Catudal for comments on a more recent draft of this paper. Finally, I wish to thank both the Directors of the Archives of Scientific Philosophy in Pittsburgh and Konstanz, and of the Wiener Kreis Stichting in Amsterdam for their permission to quote from the Hans Reichenbach and the Moritz Schlick Collections. My special thanks goes to Brigitte Parakenings from the Konstanz Archives for her help in supplying unpublished material.

References

  1. Ash, M.G. 1995. Gestalt psychology in German culture, 1890–1967: Holism and the quest for objectivity. Cambridge: Cambridge University Press.Google Scholar
  2. Cassirer, E. 1910. Substanzbegriff und Funktionsbegriff. Untersuchungen über die Grundfragen der Erkenntniskritik. Berlin: Bruno Cassirer. Translated as Substance and Function. Chicago: Open Court, 1923.Google Scholar
  3. Friedman, M. 2001. Dynamics of reason. Stanford: CSLI Publications.Google Scholar
  4. Gerner, K. 1997. Hans Reichenbach. Sein Leben und Wirken. Osnabrück: Phoebe Autorenpress.Google Scholar
  5. Lewin, K. 1920. Die Verwandtschaftsbegriffe in Biologie und Physik und die Darstellung vollständiger Stammbäume. Berlin: Borntraeger.Google Scholar
  6. Lewin, K. 1922. Der Begriff der Genese in Physik, Biologie und Entwicklungsgeschichte. Berlin: Springer. (Repr. in Lewin (1983), 47–304.)Google Scholar
  7. Lewin, K. 1923a. Die zeitliche Geneseordnung. Zeitschrift für Physik 13:62–81.CrossRefGoogle Scholar
  8. Lewin, K. 1923b. Berechtigung. Zeitschrift für Physik 15:64.CrossRefGoogle Scholar
  9. Lewin, K. 1923c. Kurt Lewin, Die zeitliche Geneseordnung. Physikalische Berichte 4:977.Google Scholar
  10. Lewin, K. 1925. Über Idee und Aufgabe der vergleichenden Wissenschaftslehre. Symposion 1(1):61–94.Google Scholar
  11. Lewin, K. 1983. Kurt Lewin: Werkausgabe. In Wissenschaftstheorie II, eds. Graumann, C.-F., and A. Métraux. Bern/Stuttgart: Huber–Klett-Cotta.Google Scholar
  12. Marrow, A.J. 1969. The practical theorist: The life and work of Kurt Lewin. New York/London: Basic Books.Google Scholar
  13. Métraux, A. 1992. Kurt Lewin: Philosopher-psychologist. Science in Context 5(2):373–384.CrossRefGoogle Scholar
  14. Padovani, F. 2011. Relativizing the relativized a priori. Reichenbach’s axioms of coordination divided. Synthese 181(1):41–62.Google Scholar
  15. Reichenbach, H. 1911a. Universität und Technische Hochschule. Ein Vergleich. Berliner Freistudentische Blätter 4(16):243–247.Google Scholar
  16. Reichenbach, H. 1911b. Universität und Technische Hochschule. Berliner Freistudentische Blätter 4(20):310–312.Google Scholar
  17. Reichenbach, H. 1916. Der Begriff der Wahrscheinlichkeit für die mathematische Darstellung der Wirklichkeit. Leipzig: Barth. Translated as The concept of probability in the mathematical representation of reality, eds. Eberhardt, F., and C. Glymour. Chicago–La Salle (Ill.): Open Court, 2008.Google Scholar
  18. Reichenbach, H. 1920. Relativitätstheorie und Erkenntnis apriori. Berlin: Springer. Translated as The theory of relativity and a priori knowledge, ed. Reichenbach, M. Berkeley/Los Angeles: University of California Press, 1965.Google Scholar
  19. Reichenbach, H. 1921a. Rezension von Kurt Lewin, Die Verwandtschaftsbegriffe in Biologie und Physik und die Darstellung vollständiger Stammbäume. Die Naturwissenschaften 9:51.CrossRefGoogle Scholar
  20. Reichenbach, H. 1921b. Bericht über eine Axiomatik der Einsteinschen Raum-Zeit-Lehre. Physikalische Zeitschrift 22:683–686. Engl. transl. in Defending Einstein: Hans Reichenbach’s writings on space, time and motion, eds. Gimbel, S., and A. Walz, 45–55. New York: Cambridge University Press, 2006.Google Scholar
  21. Reichenbach, H. 1924a. Axiomatik der relativistischen Raum-Zeit-Lehre. Braunschweig: Fried. Vieweg & Sohn. Translated as The axiomatization of the theory of relativity, ed. Reichenbach, M. Berkeley/Los Angeles: University of California Press, 1969.Google Scholar
  22. Reichenbach, H. 1924b. Die Bewegungslehre bei Newton, Leibniz und Huygens. Kant-Studien 29:416–438. Engl. transl. in Modern philosophy of science: Selected essays, ed. Reichenbach, M., 46–66. London: Routledge & Kegan Paul, 1959.Google Scholar
  23. Reichenbach, H. 1924c. Rezension von Kurt Lewin, Der Begriff der Genese in Physik, Biologie und Entwicklungsgeschichte. Eine Untersuchung zur vergleichenden Wissenschaftslehre. Psychologische Forschung 8:188–190.Google Scholar
  24. Reichenbach, H. 1925. Die Kausalstruktur der Welt und der Unterschied von Vergangenheit und Zukunft. Sitzungsberichte der Bayerische Akademie der Wissenschaft, November: 1933–1975. Engl. transl. in Selected writings: 1909–1953, Vol. II, eds. Cohen, R., and M. Reichenbach, 81–119. Dordrecht/Boston: Reidel, 1978.Google Scholar
  25. Reichenbach, H. 1928. Philosophie der Raum-Zeit-Lehre. Berlin/Leipzig: De Gruyter. Translated as The philosophy of space and time, eds. Reichenbach, M., and J. Freund. New York: Dover, 1958.Google Scholar
  26. Reichenbach, H. 1956. The direction of time. Berkeley: University of California Press.Google Scholar
  27. Reichenbach, H. 1978. Selected Writings: 1909–1953, 2 Vol., eds. Cohen, R., and M. Reichenbach. Dordrecht/Boston: Reidel.Google Scholar
  28. Robb, A.A. 1914. A theory of time and space. Cambridge: Cambridge University Press.Google Scholar
  29. Ryckman, T.A. 2007. Logical empiricism and the philosophy of physics. In The Cambridge companion to logical empiricism, eds. Richardson, A.W., and T. Uebel, 193–227. New York: Cambridge University Press.CrossRefGoogle Scholar
  30. Smith, B., and K. Mulligan. 1982. Pieces of a theory. In Parts and moments. Studies in logic and formal ontology, ed. B. Smith, 15–109. Munich: Philosophia.Google Scholar
  31. Wipf, H.-U. 1994. ‘Es war das Gefühl, daß die Universitätsbildung in irgend einem Punkte versagte’ – Hans Reichenbach als Freistudent 1910 bis 1916. In Hans Reichenbach und die Berliner Gruppe, eds. Danneberg, L., Kamlah, A., and L. Schäfer, 161–181. Braunschweig: Vieweg.Google Scholar
  32. Wipf, H.-U. 2004. Studentische Politik und Kulturreform. Geschichte der Freistudenten-Bewegung 1896–1918. Schwalbach/TS: Wochenschau Verlag.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht. 2013

Authors and Affiliations

  1. 1.English and Philosophy DepartmentDrexel UniversityPhiladelphiaUSA

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