Abstract
“I am not much given to emotions”, wrote the 30-years old mathematician Hans Hahn in 1909 to the physicist Paul Ehrenfest, who lived in St. Petersburg, “but to a friend who is as far away as you are, I confess it: sometimes, when I have attempted to dip into the metaphysics of Aristotle, I have felt awe-struck, and I much regret to lack the opportunities to ponder these things in depth, as I have pondered the calculus of variations.”1 In due course, however, Hahn managed to create those opportunities for philosophical studies for which he longed so much; and when he died some twenty-five years later, the physicist Philipp Frank could describe him as the true founder of the Vienna Circlet.2
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Notes
Letter from Hahn to Ehrenfest dated Dec. 26, 1909, Ehrenfest archive, Boerhaave Museum, Leiden.
Philipp Frank, Obituary for Hans Hahn, Erkenntnis 4, 315–6.
Sir Karl Popper, in “Hans Hahn - Reminiscences of a Grateful Student”, Introduction to the Collected Works of Hans Hahn (ed. L. Schmetterer and K. Sigmund), Vol. 1, Springer Verlag, Vienna (1995)
Karl Menger: Selected Papers in Logic and Foundations, Didactics, Economics, Vienna Circle Collection, Kluwer, Dordrecht (1994), p. 284.
Personal File of Kurt Gödel, Archives of the Philosophical Faculty, University of Vienna.
Postcard from Hahn to Ehrenfest dated Dec. 8, 1932, Ehrenfest archive.
see note 1.
Letter from Hahn to Ehrenfest dated March 30, 1912, Ehrenfest archive.
H. Hahn, Diskussion zur Grundlegung der Mathematik, Erkenntnis 2, p.135–141, translated in H. Hahn, Empiricism, Logic and Mathematics, Kluwer, Dordrecht (1980), p. 32.
see note 9, op.cit. p.31
see note 9, op.cit. p.31.
op.cit. note 3.
H. Hahn, “Überflüssige Wesenheiten (Occams Rasiermesser)”, in Veröffentlichungen des Vereines Ernst Mach, Verlag Artur Wolf, Wien (1930). Translated in H. Hahn, Empiricism, Logic and Mathematics, Kluwer, Dordrecht (1980).
see op.cit. note 13, p. 3–4.
H. Hahn, “Logik, Mathematik und Naturerkennen”, in Krise und Neuaufbau in den exakten Wissenschaften, Fünf Wiener Vorträge (F. Deuticke, Leipzig-Wien, 1933), translated in H. Hahn, Empiricism, Logic and Mathematics, Kluwer, Dordrecht (1980), p. 26
See K. Menger, Introduction to H. Hahn, Empiricism, Logic and Mathematics, Kluwer, Dordrecht (1980).
see op.cit note 13, p.4.
See Friedrich Stadler, Introduction to Richard von Mises Kleines Lehrbuch des Positivismus Suhrkamp, 1990 .
Ph. Frank, Modern Science and its Philosophy, Cambridge, Mass. (1949).
D. Hilbert and W. Ackermann, Grundzüge der theoretischen Logik, Springer Berlin (1928).
Letter from Hahn to Ehrenfest dated Oct. 28, 1907, Ehrenfest-archive
B. Bolzano, Paradoxien des Unendlichen, mit Bemerkungen von H. Hahn, Verlag F. Meiner, Leipzig (1920)
op.cit. note 1.
H. Hahn, “Gibt es Unendliches?”, in Alte Probleme - Neue Lösungen in den exakten Wissenschaften, (F. Deuticke, Leipzig-Wien, 1934). Translated in H. Hahn, Empiricism, Logic and Mathematics, Kluwer, Dordrecht (1980).
op.cit. note 16.
op.cit. note 3.
see the biography of Kurt Reidemeister by F. Bachmann, H. Behnke and W. Franz in Math. Annalen 199 1–11.
op.cit. note 16.
op.cit. note 16.
H. Hahn, Empirismus, Mathematik und Logik, in Forschungen und Fortschritte 5 (1929). translation in H. Hahn, Empiricism, Logic and Mathematics, Kluwer, Dordrecht (1980), p. 24.
op.cit. note 16.
H. Hahn, Logik, Mathematik und Naturerkennen, in Alte Probleme-Neue Lösungen in den exakten Wissenschaften, (F. Deuticke, Leipzig-Wien, 1934). Translated in Unified Science, ed. Brian McGuiness, Kluwer, Dordrecht (1987) p. 32.
op.cit. note 32, p.36.
op.cit. note 30, p. 23.
op.cit. note 32, p.34.
op.cit. note 30, p. 23.
op.cit. note 30, p.40.
op.cit. note 32, p.29.
op.cit. note 9, p.33.
op.cit. note 32, p.33.
Habilitationsakte Kurt Gödel, Personal Files, Archives of the Phil. Fac. of the University of Vienna.
D. Hilbert, Probleme der Grundlegung der Mathematik, Atti del Congresso internazionale dei matematici, Bologna Vol. I, p. 135–141 (1929).
K. Gödel, “Die Vollständigkeit der Axiome des logischen Funktionenkalküls”, in Monatshefte für Mathematik und Physik 37, 349–360 (1930).
Erkenntnis 2 (1930–31).
See E. Köhler, Gödel und der Wiener Kreis, in Jour Fire der Vernunft: Der Wiener Kreis und die Folgen, ed. P. Kruntorad, Hölder-Pichler-Tempski, 1991.
J. Dawson, Discussion on the Foundations of Mathematics, History and Philosophy of Logic 5 (1984), 111–29.
op.cit. note 9.
op.cit. note 9, p.32.
op.cit. note 44.
D. Hilbert, Naturerkennen und Logik, Naturwissenschaften 18, 959–963 (1930).
K. Gödel, Über formal unentscheidbare Sätze der Principia mathematica und verwandter Systeme I, Monatshefte für Mathematik und Physik 38, 173–198 (1931).
K. Gödel, Zum intuitionistischen Aussagenkalkül,Anzeiger der Akademie der Wissenschaften in Wien 69, 65–66 (1932).
Krise und Neuaufbau in den exakten Wissenschaften. Fünf Wiener Vorträge (F. Deuticke, Leipzig-Wien, 1933 ) und Alte Probleme - Neue Lösungen in den exakten Wissenschaften, (F. Deuticke, Leipzig-Wien, 1934 ).
L. Wittgenstein, Philosophical Remarks, Blackwell 1975.
op. cit. note 24, p.120–1.
op.cit. note 55, p.118.
op.cit. note 55, p.118.
Hao Wang, Reflections on Kurt Gödel,MIT Press, 1987.
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Sigmund, K. (1995). Hans Hahn and the Foundational Debate. In: Depauli-Schimanovich, W., Köhler, E., Stadler, F. (eds) The Foundational Debate. Vienna Circle Institute Yearbook [1995], vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3327-4_18
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