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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dummett, M.: Frege: Philosophy of Language. London, Duckworth, (1973)
Frege, W.: Sinn und Bedeutung. Ztschr. f. Philos. u. philos. Kritik, NF, 100, (1892)
Geach, P.T.: Identity. In: Logic Matters, Oxford, (1972)
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)
Kell Kenny, A.: Oratio Obliqua. Aris. Soc. Sup., XXXVI, (1963), 139
Kraut, P.: Indniscernibility and Ontology. Synthese, 44, (1980)
Kripke, S.: Naming and Necessity. Oxford, (1980)
Krynicki, M.: A note on rough concepts logic. Fund. Inf., X III, (1990)
Moll Mostowski, M.: Similarities and Topology. Studies in Logic, Grammar and Rhetoric, I II, (1983)
Nooann, W.: Object and Identity. Martinus Nijhoff Puglishers, (1980)
Orlowska, E.: Verisimilitude based on concept analysis. Studia Logica, 3, (1990)
Orlowska, E., Pawlak, Z.: Representation of nondeterministic information. Theoretical Computer Science, 29, (1984)
Orlowska, E., Pawlak, Z.: Measurment and indiscernibility. Bulletin of the Polish Academy of Science, 32, 9–10, (1984)
Pawlak, Z.: Information systems, theoretical foundation. Information Systems, 3, (1981)
Pomykala, J.A.: On definability in the nondeterministic information system. Bulletin of the Polish Academy of Science, 36, 3–4, (1988)
Pomykala, J.A.: Approximation operations in approximation space. Bulletin of the Polish Academy of Science, 35, 9–10 (1987)
Quine, W.V.: Identity, ostention and hypostasis. In: From a Logical Point of View, N. Y.: Harper and Row, (1961)
Quine, W.V.: Grades of discriminability. Journal of Philosophy, 73, (1976)
Szczerba, L.W.: Rough quantifiers. Bulletin of the Polish Academy of Science, 35, (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lissowska-Wójtowicz, A. (1998). Some Philosophical Aspects of Indiscernibility. In: Orłowska, E. (eds) Incomplete Information: Rough Set Analysis. Studies in Fuzziness and Soft Computing, vol 13. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1888-8_12
Download citation
DOI: https://doi.org/10.1007/978-3-7908-1888-8_12
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-2457-5
Online ISBN: 978-3-7908-1888-8
eBook Packages: Springer Book Archive