Erkenntnis

, Volume 52, Issue 2, pp 239–252

Extensions As Representative Objects In Frege's Logic

  • M. Ruffino
Article
  • 58 Downloads

Abstract

Matthias Schirn has argued on a number of occasions against the interpretation of Frege's ``objects of a quite special kind'' (i.e., the objects referred to by names like `the concept F') as extensions of concepts. According to Schirn, not only are these objects not extensions, but also the idea that `the concept F' refers to objects leads to some conclusions that are counter-intuitive and incompatible with Frege's thought. In this paper, I challenge Schirn's conclusion: I want to try and argue that the assumption that `the concept F' refers to the extension of F is entirely consistent with Frege's broader views on logic and language. I shall examine each of Schirn's main arguments and show that they do not support his claim.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. Bartlett, J.: 1961, Funktion und Gegenstand. Eine Untersuchung in der Logik von Gottlob Frege, Doctoral Dissertation, Munich.Google Scholar
  2. Burge, T.: 1984, 'Frege on Extensions of Concepts. From 1884 to 1903', The Philosophical Review XCIII(1), 3-34.Google Scholar
  3. Frege, G.: 1884, Die Grundlagen der Arithmetik. Eine logisch mathematische Untersuchung über den Begriff der Zahl (GLA), Verlag von Wilhelm Koebner, Breslau. Reprinted in Die Grundlagen der Arithmetik. Eine logisch mathematische Untersuchung über den Begriff der Zahl. Centenary edition. Edited by Christian Thiel, Felix Meiner Verlag, Hamburg, 1986.Google Scholar
  4. Frege, G.: 1893, Grundgesetze der Arithmetik. Vol. I (GGA), Pohle, Jena. Reprinted, George Olms Verlag, Hildesheim, 1962.Google Scholar
  5. Frege, G.: 1903, Grundgesetze der Arithmetik. Vol. II (GGA II), Pohle, Jena. Reprinted, George Olms Verlag, Hildesheim, 1962.Google Scholar
  6. Frege, G.: 1967, Kleine Schriften (KS). Edited by Ignacio Angelelli, Wissenschaftliche Buchgesellschaft, Darmstadt.Google Scholar
  7. Frege, G.: 1969, Nachgelassene Schriften (NS). Edited by Hans Hermes, Friedrich Kambartel, and Friedrich Kaulbach, with the assistance of Gottfried Gabriel and Walburga Rödding, Felix Meiner Verlag, Hamburg.Google Scholar
  8. Frege, G.: 1976, Wissenschaftlicher Briefwechsel (WB). Edited by Gottfried Gabriel, Hans Hermes, Friedrich Kambartel, Christian Thiel and Albert Veraart, Felix Meiner Verlag, Hamburg.Google Scholar
  9. Khatchadourian, H.: 1956, 'Frege on Concepts', Theoria 22, 85-100.Google Scholar
  10. Parsons, T.: 1984, 'Why Frege Should Not Have Said 'The Concept horse is not a concept' ' in Wechsung (ed.), pp. 246-252.Google Scholar
  11. Ruffino, M.: 1996, Frege's Notion of Logical Objects, Ph.D. Dissertation, University of California, Los Angeles, University Microfilms, Ann Arbor.Google Scholar
  12. Ruffino, M.: 1999, 'Die Fregesche Ontologie der Logik', forthcoming in Gabriel (ed.), Gottlob Frege: Werk und Wirkung in Jena.Google Scholar
  13. Schirn,M.: 1983, 'Begriff und Begriffsumfang. Zu Freges Anzahldefinition in den Grundlagen der Arithmetik', History and Philosophy of Logic 4, 117-143.Google Scholar
  14. Schirn, M.: 1990, 'Frege's Objects of a Quite Special Kind', Erkenntnis 32, 27-60.Google Scholar
  15. Schirn, M. (ed.): 1996, Frege: Importance and Legacy. Perspectives in Analytical Philosophy, De Gruyter, Berlin.Google Scholar
  16. Schirn, M.: 1996, 'On Frege's Introduction of Cardinal Numbers as Logical Objects', in Schirn (ed.), pp. 114-173.Google Scholar
  17. Sluga, H.: 1980, Gottlob Frege, Routledge & Kegan Paul, London.Google Scholar
  18. Thiel, C.: 1965, Sense and Reference in Frege's Logic, transl. by T. J. Blakeley, Reidel Publishing Company, Dordrecht.Google Scholar
  19. Wechsung, Gerd (ed.): 1984, Proceedings of the International Frege Conference held at Schwerin. September 10-14,.1984, Akademie-Verlag, Berlin.Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • M. Ruffino
    • 1
  1. 1.Department of PhilosophyFederal UniversityRio De Janeiro, R.JBrazil

Personalised recommendations