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HUSSERL AND GÖDEL’S INCOMPLETENESS THEOREMS

  • MIRJA HARTIMO (a1)
Abstract
Abstract

The paper examines Husserl’s interactions with logicians in the 1930s in order to assess Husserl’s awareness of Gödel’s incompleteness theorems. While there is no mention about the results in Husserl’s known exchanges with Hilbert, Weyl, or Zermelo, the most likely source about them for Husserl is Felix Kaufmann (1895–1949). Husserl’s interactions with Kaufmann show that Husserl may have learned about the results from him, but not necessarily so. Ultimately Husserl’s reading marks on Friedrich Waismann’s Einführung in das mathematische Denken: die Begriffsbildung der modernen Mathematik, 1936, show that he knew about them before his death in 1938.

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*NORWEGIAN UNIVERSITY OF LIFE SCIENCES PO BOX 5003 1432 AAS, NORWAY E-mail: mirjahartimo@gmail.com
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S Feferman . (2008). Lieber Herr Bernays!, Lieber Herr Gödel! Gödel on finitism, constructivity and Hilbert’s program. Dialectica, 62(2), 179203.

M Hartimo . (2007). Towards completeness: Husserl on theories of manifolds 1890–1901. Synthese, 156, 281310.

M Hartimo . (2016). Husserl on completeness, definitely. Synthese, doi: 10.1007/s11229-016-1278-7.

E Husserl . (1976/1970). Die Krisis der europäischen Wissenschaften und die transzendentale Phänomenologie. Eine Einleitung in die phänomenologische Philosophie. Herausgegeben von Walter Biemel. Husserliana Band VI. Haag: Martinus Nijhoff, 1976. English translation: The Crisis of European Sciences and Transcendental Phenomenology. An Introduction to Phenomenological Philosophy. Translated by David Carr. Evanston: Northwestern University Press, 1970.

F Kaufmann . (1978). The Infinite in Mathematics, Logico-mathematical Writings, edited by B. McGuinness . Translated by P. Foulkes . Dordrecht, Boston, London: D. Reidel Publishing Company.

P. J Miller . (1982). Numbers in Presence and Absence: A Study of Husserl’s Philosophy of Mathematics. The Hague, Boston, London: Martinus Nijhoff Publishers.

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The Review of Symbolic Logic
  • ISSN: 1755-0203
  • EISSN: 1755-0211
  • URL: /core/journals/review-of-symbolic-logic
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