Abstract
Most of the secondary literature on Hermann Weyl’s philosophical writings and on his interest in phenomenology focuses on the 1910s and 1920s and on the relation to the work of Edmund Husserl. In contrast, little attention has been paid to Weyl’s later writings and to how they relate to later phenomenology. The present paper aims to fill part of this gap by considering Weyl’s work of around 1950 in which he critically evaluates several phenomenologically inspired notions from Martin Heidegger’s Being and Time. As it turns out, Weyl here aims for a third way in between Heideggerian phenomenology and Cassirer’s neo-Kantianism.
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Notes
- 1.
The following discussion is partially based on earlier works of mine in Sieroka, 2010a, pp. 333–349.
- 2.
For the sake of completeness, it should be added that indeed similar views can be found in Husserl’s later philosophy (as, for instance, in his “Origin of Geometry”). In the present paper, however, the focus is on Weyl’s self-assessment—that is, the focus is on how Weyl himself located the claims of other thinkers in relation to his own view.
- 3.
Here one can also understand Weyl’s late appreciation of, if not enthusiasm for, Paul Lorenzen’s work on an operationalist foundation of mathematics (see ETH-Bibliothek, Archive, Hs91: 365–369; see also Sieroka, 2010a, pp. 101–102).
- 4.
Weyl mixes up the Heideggerian terminology a little: Heidegger’s term is “In-der-Welt-sein,” whereas Weyl writes “Sein-in-der-Welt.” This, however, does not have any serious consequences (and the English translation makes use of the changed word order anyway).
- 5.
See also Fichte’s notion of a “wavering of the imagination” (Schweben der Einbildungskraft) which marks the same kind of see-saw mechanism (see Sieroka, 2007, 2010a, 2010b for details). Moreover, in the letter to Hecke just quoted, Weyl uses the German term Schöpfung (“creation”) instead of Erkenntnis (“insight”). This nicely emphasises the common and active character of insight and symbolic construction.
- 6.
Notably, even within Heidegger scholarship it has been claimed that it is exactly the idea of a pre-theoretic foundation of human existence that marks a specific Fichtean inheritance in Heidegger (see Denker, 2000, p. 115); and Weyl’s notion of a ridiculous circle in combination with such a pre-theoretical encounter of the world fits extremely well into Weyl’s own reading of Fichte in a particularly anthropological and pragmatist way (see once more Sieroka, 2010a, for details).
- 7.
Another important parallel to Cassirer are Weyl’s “historical dialectics of science,” as one might call it. Again and again, Weyl presents the development of mathematics and physics as a historical unfolding of human reasoning (see, e.g., Weyl, 1921, 1925, 1949c; cf. also Weyl 1968, 2009, passim). However, whereas in Cassirer this view might be largely influenced by the work of Hegel, in Weyl it is the work of Fichte; including Fichte’s attempt to write a “pragmatic history of the human mind” (see Sieroka, 2007, 2010a, p. 26).
References
Becker, O. (1927). Mathematische Existenz: Untersuchungen zur Logik und Ontologie mathematischer Phänomene. Jahrbuch für Philosophie und phänomenologische Forschung, 8, 440–809.
Beisswanger, P. (1966). Herman Weyl and mathematical texts. Ratio, 8, 25–45.
Cassirer, E. (1965). The philosophy of symbolic forms (Vol. 3). New Haven, CT/London: Yale University Press.
Denker, A. (2000). The young Heidegger and Fichte. In Rockmore, 2000, 103–122.
Fichte, J. G. (1995). Das System der Sittenlehre nach den Prinzipien der Wissenschaftslehre (1798). Hamburg, Germany: Meiner.
Heidegger, M. (1962). Being and time. Oxford, UK: Blackwell Publishing.
Medicus, F. (1951). Menschlichkeit: Die Wahrheit als Erlebnis und Verwirklichung. Zurich, Switzerland: Artemis.
Medicus, F. (1954). Philosophiegeschichtliches und Geschichtsphilosophisches: Ein Beitrag zur Würdigung des Existentialismus. In F. Medicus (Ed.), Vom Überzeitlichen in der Zeit: Beiträge zu humanistischer Besinnung (pp. 179–196). Zurich, Switzerland: Artemis.
Rockmore, T. (Ed.). (2000). Heidegger, German idealism and neo-Kantianism. Amherst, MA: Humanity Books.
Ryckman, T. A. (2005). The reign of relativity: Philosophy in physics 1915–1925. Oxford, UK: Oxford University Press.
Scholz, E. (2005). Philosophy as a cultural resource and medium of reflection for Hermann Weyl. Révue de Synthèse, 126, 331–351.
Scholz, E. (2006). Practice-related symbolic realism in H. Weyl’s mature view of mathematical knowledge. In J. Ferreirós & J. J. Gray (Eds.), The architecture of modern mathematics: Essays in history and philosophy (pp. 291–309). Oxford, UK: Oxford University Press.
Sieroka, N. (2007). Weyl’s “Agens theory” of matter and the Zurich Fichte. Studies in History and Philosophy of Science, 38(1), 84–107.
Sieroka, N. (2010a). Umgebungen: Symbolischer Konstruktivismus im Anschluss an Hermann Weyl und Fritz Medicus. Zurich, Switzerland: Chronos.
Sieroka, N. (2010b). Geometrization versus transcendent matter: A systematic historiography of theories of matter following Weyl. British Journal for the Philosophy of Science, 61(4), 769–802.
Sieroka, N. (2012). Hermann Weyl und Fritz Medicus: Die Zürcher Fichte-Interpretation in Mathematik und Physik um 1920. Fichte-Studien, 36, 129–143.
Sieroka, N. (2018). Theoretical construction in physics: The role of Leibniz for Weyl’s “Philosophie der Mathematik und Naturwissenschaft.”. Studies in History and Philosophy of Modern Physics, 61, 6–17.
Sieroka, N. (forthcoming). Neighbourhoods and intersubjectivity: Analogies between Weyl’s analyses of the continuum and transcendental-phenomenological theories of subjectivity. In J. Bernard & C. Lobo (Eds.), Weyl and the problem of space: From science to philosophy. Dordrecht, The Netherlands: Springer.
Tieszen, R. (2005). Phenomenology, logic, and the philosophy of mathematics. New York: Cambridge University Press.
Weyl, H. (1921). Über die neue Grundlagenkrise der Mathematik. Mathematische Zeitschrift, 10, 39–79. Reprinted in and quoted from Weyl 1968, 2:143–180.
Weyl, H. (1925). Die heutige Erkenntnislage in der Mathematik. Symposion, 1, 1–23. Reprinted in and quoted from Weyl 1968, 2:511–542.
Weyl, H. (1932). Zu David Hilberts siebzigstem Geburtstag. Die Naturwissenschaften, 20, 57–58. Reprinted in and quoted from Weyl 1968, 3: 346–347.
Weyl, H. (1934). Mind and nature. Philadelphia, PA: University of Pennsylvania Press. Reprinted in and quoted from Weyl, 2009, 83–150.
Weyl, H. (1946a). Address at the Princeton bicentennial conference. ETH-Bibliothek, Archive, Hs91a: 17, 18. Reprinted in and quoted from Weyl 2009, 162–174.
Weyl, H. (1946b). Encomium (Wolfgang Pauli). Science, 103, 216–218. Reprinted in and quoted from Weyl 1968, 4: 265–267.
Weyl, H. (1947). Discussion remarks at the first symposium of the Institute International des Science Théoriques, Brussels. ETH-Bibliothek, Archive, Hs91a: 19.
Weyl, H. (1949a). Man and the foundations of science. ETH-Bibliothek, Archive, Hs91a: 28. Reprinted in and quoted from Weyl 2009, 175–193.
Weyl, H. (1949b). Wissenschaft als symbolische Konstruktion des Menschen. Eranos-Jahrbuch 1948, 375–431. Reprinted in and quoted from Weyl 1968, 4: 289–345.
Weyl, H. (1949c). Philosophy of mathematics and natural science. Princeton, CT: Princeton University Press.
Weyl, H. (1953). Über den Symbolismus der Mathematik und mathematischen Physik. Studium Generale, 6, 219–228. Reprinted in and quoted from Weyl 1968, 4: 527–536.
Weyl, H. (1954a). Address on the unity of knowledge delivered at the Bicentennial Conference of Columbia University. Reprinted in and quoted from Weyl 2009, 194–203.
Weyl, H. (1954b). Erkenntnis und Besinnung (Ein Lebensrückblick). Studia Philosophica: Jahrbuch der Schweizerischen Philosophischen Gesellschaft/Annuaire de la Société Suisse de Philosophie. Translated in and quoted from Weyl, 2009, 204–221.
Weyl, H. (1968). Gesammelte Abhandlungen (Vol. 4). Berlin, Germany: Springer.
Weyl, H. (1985). Axiomatic versus constructive procedures in mathematics. Mathematical Intelligence, 7(10–17), 38.
Weyl, H. (1996). In memoriam Helene Weyl. In I. Lang (Ed.), Arnold Zweig, Beatrice Zweig, Helene Weyl: Komm her, wir lieben Dich. Briefe einer ungewöhnlichen Freundschaft zu dritt (pp. 379–390). Berlin, Germany: Aufbau-Verlag.
Weyl, H. (2009). Mind and nature: Selected writings on philosophy, mathematics, and physics. Princeton, NJ: Princeton University Press.
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I would like to thank Richard Allen for his very careful comments and suggestions on content, language, and grammar.
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Sieroka, N. (2020). Unities of Knowledge and Being – Weyl’s Late “Existentialism” and Heideggerian Phenomenology. In: Wiltsche, H.A., Berghofer, P. (eds) Phenomenological Approaches to Physics. Synthese Library, vol 429. Springer, Cham. https://doi.org/10.1007/978-3-030-46973-3_5
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