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Hans Hahn and the Foundational Debate

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The Foundational Debate

Part of the book series: Vienna Circle Institute Yearbook [1995] ((VCIY,volume 3))

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

  1. Letter from Hahn to Ehrenfest dated Dec. 26, 1909, Ehrenfest archive, Boerhaave Museum, Leiden.

    Google Scholar 

  2. Philipp Frank, Obituary for Hans Hahn, Erkenntnis 4, 315–6.

    Google Scholar 

  3. 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)

    Google Scholar 

  4. Karl Menger: Selected Papers in Logic and Foundations, Didactics, Economics, Vienna Circle Collection, Kluwer, Dordrecht (1994), p. 284.

    Google Scholar 

  5. Personal File of Kurt Gödel, Archives of the Philosophical Faculty, University of Vienna.

    Google Scholar 

  6. Postcard from Hahn to Ehrenfest dated Dec. 8, 1932, Ehrenfest archive.

    Google Scholar 

  7. see note 1.

    Google Scholar 

  8. Letter from Hahn to Ehrenfest dated March 30, 1912, Ehrenfest archive.

    Google Scholar 

  9. 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.

    Google Scholar 

  10. see note 9, op.cit. p.31

    Google Scholar 

  11. see note 9, op.cit. p.31.

    Google Scholar 

  12. op.cit. note 3.

    Google Scholar 

  13. 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).

    Google Scholar 

  14. see op.cit. note 13, p. 3–4.

    Google Scholar 

  15. 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

    Google Scholar 

  16. See K. Menger, Introduction to H. Hahn, Empiricism, Logic and Mathematics, Kluwer, Dordrecht (1980).

    Google Scholar 

  17. see op.cit note 13, p.4.

    Google Scholar 

  18. See Friedrich Stadler, Introduction to Richard von Mises Kleines Lehrbuch des Positivismus Suhrkamp, 1990 .

    Google Scholar 

  19. Ph. Frank, Modern Science and its Philosophy, Cambridge, Mass. (1949).

    Google Scholar 

  20. D. Hilbert and W. Ackermann, Grundzüge der theoretischen Logik, Springer Berlin (1928).

    Google Scholar 

  21. Letter from Hahn to Ehrenfest dated Oct. 28, 1907, Ehrenfest-archive

    Google Scholar 

  22. B. Bolzano, Paradoxien des Unendlichen, mit Bemerkungen von H. Hahn, Verlag F. Meiner, Leipzig (1920)

    Google Scholar 

  23. op.cit. note 1.

    Google Scholar 

  24. 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).

    Google Scholar 

  25. op.cit. note 16.

    Google Scholar 

  26. op.cit. note 3.

    Google Scholar 

  27. see the biography of Kurt Reidemeister by F. Bachmann, H. Behnke and W. Franz in Math. Annalen 199 1–11.

    Google Scholar 

  28. op.cit. note 16.

    Google Scholar 

  29. op.cit. note 16.

    Google Scholar 

  30. 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.

    Google Scholar 

  31. op.cit. note 16.

    Google Scholar 

  32. 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.

    Google Scholar 

  33. op.cit. note 32, p.36.

    Google Scholar 

  34. op.cit. note 30, p. 23.

    Google Scholar 

  35. op.cit. note 32, p.34.

    Google Scholar 

  36. op.cit. note 30, p. 23.

    Google Scholar 

  37. op.cit. note 30, p.40.

    Google Scholar 

  38. op.cit. note 32, p.29.

    Google Scholar 

  39. op.cit. note 9, p.33.

    Google Scholar 

  40. op.cit. note 32, p.33.

    Google Scholar 

  41. Habilitationsakte Kurt Gödel, Personal Files, Archives of the Phil. Fac. of the University of Vienna.

    Google Scholar 

  42. D. Hilbert, Probleme der Grundlegung der Mathematik, Atti del Congresso internazionale dei matematici, Bologna Vol. I, p. 135–141 (1929).

    Google Scholar 

  43. K. Gödel, “Die Vollständigkeit der Axiome des logischen Funktionenkalküls”, in Monatshefte für Mathematik und Physik 37, 349–360 (1930).

    Article  Google Scholar 

  44. Erkenntnis 2 (1930–31).

    Google Scholar 

  45. 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.

    Google Scholar 

  46. J. Dawson, Discussion on the Foundations of Mathematics, History and Philosophy of Logic 5 (1984), 111–29.

    Article  Google Scholar 

  47. op.cit. note 9.

    Google Scholar 

  48. op.cit. note 9, p.32.

    Google Scholar 

  49. op.cit. note 44.

    Google Scholar 

  50. D. Hilbert, Naturerkennen und Logik, Naturwissenschaften 18, 959–963 (1930).

    Article  Google Scholar 

  51. K. Gödel, Über formal unentscheidbare Sätze der Principia mathematica und verwandter Systeme I, Monatshefte für Mathematik und Physik 38, 173–198 (1931).

    Article  Google Scholar 

  52. K. Gödel, Zum intuitionistischen Aussagenkalkül,Anzeiger der Akademie der Wissenschaften in Wien 69, 65–66 (1932).

    Google Scholar 

  53. 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 ).

    Google Scholar 

  54. L. Wittgenstein, Philosophical Remarks, Blackwell 1975.

    Google Scholar 

  55. op. cit. note 24, p.120–1.

    Google Scholar 

  56. op.cit. note 55, p.118.

    Google Scholar 

  57. op.cit. note 55, p.118.

    Google Scholar 

  58. Hao Wang, Reflections on Kurt Gödel,MIT Press, 1987.

    Google Scholar 

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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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