Some Philosophical Aspects of Indiscernibility

  • Anna Lissowska-Wójtowicz
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 13)

Abstract

In this article the relationship between the identity relation and the indiscernibility relation is discussed. A generalization of the standard definition of the indiscernibility relation considered in the theory of rough sets is given, and some basic theorems about it are formulated and proved.

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References

  1. [Dul]
    Dummett, M.: Frege: Philosophy of Language. London, Duckworth, (1973)Google Scholar
  2. [Fri.]
    Frege, W.: Sinn und Bedeutung. Ztschr. f. Philos. u. philos. Kritik, NF, 100, (1892)Google Scholar
  3. [Gel]
    Geach, P.T.: Identity. In: Logic Matters, Oxford, (1972)Google Scholar
  4. [Hil]
    Hill Hintikka, J.: Towards a General Theory of Individuation and Identification. In: Language and Ontology. Proceedings of the Sixth International Wittgenstein Symposiumm 23th to 30th August 1981, W. Leinfellner, E. Kraemer, J. Schank (ed.), (1981)Google Scholar
  5. [Kell]
    Kell Kenny, A.: Oratio Obliqua. Aris. Soc. Sup., XXXVI, (1963), 139Google Scholar
  6. [Kr]
    Kraut, P.: Indniscernibility and Ontology. Synthese, 44, (1980)Google Scholar
  7. [Krill]
    Kripke, S.: Naming and Necessity. Oxford, (1980)Google Scholar
  8. [Kryl]
    Krynicki, M.: A note on rough concepts logic. Fund. Inf., X III, (1990)Google Scholar
  9. Moll Mostowski, M.: Similarities and Topology. Studies in Logic, Grammar and Rhetoric, I II, (1983)Google Scholar
  10. [Nol]
    Nooann, W.: Object and Identity. Martinus Nijhoff Puglishers, (1980)Google Scholar
  11. [Or]
    Orlowska, E.: Verisimilitude based on concept analysis. Studia Logica, 3, (1990)Google Scholar
  12. [OP1]
    Orlowska, E., Pawlak, Z.: Representation of nondeterministic information. Theoretical Computer Science, 29, (1984)Google Scholar
  13. [OP2]
    Orlowska, E., Pawlak, Z.: Measurment and indiscernibility. Bulletin of the Polish Academy of Science, 32, 9–10, (1984)MathSciNetGoogle Scholar
  14. [Pal]
    Pawlak, Z.: Information systems, theoretical foundation. Information Systems, 3, (1981)Google Scholar
  15. [Pol]
    Pomykala, J.A.: On definability in the nondeterministic information system. Bulletin of the Polish Academy of Science, 36, 3–4, (1988)Google Scholar
  16. [Po2]
    Pomykala, J.A.: Approximation operations in approximation space. Bulletin of the Polish Academy of Science, 35, 9–10 (1987)MathSciNetGoogle Scholar
  17. [Qul]
    Quine, W.V.: Identity, ostention and hypostasis. In: From a Logical Point of View, N. Y.: Harper and Row, (1961)Google Scholar
  18. [Qu2]
    Quine, W.V.: Grades of discriminability. Journal of Philosophy, 73, (1976)Google Scholar
  19. [Szl]
    Szczerba, L.W.: Rough quantifiers. Bulletin of the Polish Academy of Science, 35, (1987)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Anna Lissowska-Wójtowicz
    • 1
  1. 1.Institute of Philosophy and SociologyUniversity of WarsawPoland

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