Boundaries, Borders, Fences, Hedges

• Autorzy: Polkowski L. , Semeniuk-Polkowska M.

Identyfikatory

DOI

10.3233/FI-2014-966

• Języki publikacji: EN

Abstrakty

EN

In this essay, we analyze various often semantically identified notions of separating things. In doing this, we contrast the set–theoretical approach based on the notion of an element/point with the mereological approach based on the notion of a part, hence, pointless. We address time aspect of the notion of a boundary and related notions as well as approximate notions defined in the realm of rough (approximate) mereology.

Słowa kluczowe

EN

spatial reasoning; boundary; mereology; mereotopology

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2014
• Tom: Vol. 129, nr 1/2
• Strony: 149--159
• Opis fizyczny: Bibliogr. 25 poz., rys.

Twórcy

autor

Polkowski L.

• Polish–Japanese Institute of Information Technology, Koszykowa 86, 02008 Warszawa, Poland

autor

Semeniuk-Polkowska M.

• Chair of Formal Linguistics, Warsaw University, Dobra 55, 00312 Warszawa, Poland

Bibliografia

• [1] Aristotle: Metaphysics 5, 1203b.
• [2] Van Benthem, J.: The Logic of Time. Reidel, Dordrecht (1983).
• [3] Brentano, F.: Philosophical Investigations on Space, Time and the Continuum. Croom Helm, London (1988).
• [4] Clarke, B. L.: A calculus of individuals based on connection. Notre Dame Journal of Formal Logic 22(2), pp 204–218 (1981).
• [5] Engelking, R.: An Outline of General Topology. North Holland, Amsterdam (1968).
• [6] Kuratowski, C.: Topology I. Academic Press and Polish Scientific Publishers PWN. New York and Warszawa (1966).
• [7] de Laguna, Th.: Point, line and surface as sets of solids. The Journal of Philosophy 19, pp 449–461 (1922).
• [8] Leonard, H., Goodman, N.: The calculus of individuals and its uses. The Journal of Symbolic Logic 5, pp 45–55 (1940).
• [9] Leśniewski, S.: Podstawy Ogólnej Teoryi Mnogości, I (Foundations of General Set Theory, I, in Polish). Prace Polskiego Koła Naukowego w Moskwie, Sekcya Matematyczno–przyrodnicza, No. 2, Moscow (1916); also: On the foundations of mathematics. Topoi 2, pp 7–52 (1982).
• [10] Polkowski, L.: Approximate Reasoning by Parts. An Introduction to Rough Mereology, Springer Verlag, Berlin (2011).
• [11] Polkowski, L., Semeniuk–Polkowska, M.: Boundaries, borders, fences, hedges. In: Proceedings CS&P 2009 (Concurrency, Specification and Programming). Warsaw University Press, Warszawa (2009).
• [12] Polkowski, L., Skowron, A.: Rough mereology. In: Proceedings of ISMIS’94. Lecture Notes in AI 869. Springer Verlag, Berlin, pp 85–94 (1994).
• [13] Simons, P.: Parts. A Study in Ontology. Oxford University Press, Oxford UK (2003, repr.).
• [14] Smith, B.: Mereotopology: A theory of parts and boundaries. Data and Knowledge Engineering 20, pp 287–303 (1996).
• [15] Smith, B.: Boundaries: An essay in mereotopology. In: Hahn L. (ed.): The Philosophy of Roderick Chisholm (Library of Living Philosophers), La Salle: Open Court, pp 534–561 (1997).
• [16] Smith, B., Varzi, A. C.:Fiat and bona fide boundaries. Philosophy and Phenomenological Research 60(2), pp 401–420 (2000).
• [17] Tarski, A.: Les fondements de la g_eom_etrie des corps. Supplement to Annales de la Soci_et_e Polonaise de Mathématique 7, pp 29–33 (1929).
• [18] Tarski, A.: Zur Grundlegung der Booleschen Algebra. I. Fundamenta Mathematicae 24, pp 177–198 (1935).
• [19] Tarski, A.: Appendix E. In: Woodger, J. H.: The Axiomatic Method in Biology. Cambridge University Press, Cambridge, p 160 (1937).
• [20] Webster’s New Twentieth Century Dictionary. Simon and Schuster, New York NY (1979).
• [21] Whitehead, A. N.: An Enquiry Concerning the Principles of Natural Knowledge. Cambridge University Press, Cambridge, UK (1919).
• [22] Whitehead, A. N.: The Concept of Nature. Cambridge University Press, Cambridge, UK (1920).
• [23] Whitehead, A. N.: Process and Reality: An Essay in Cosmology. Macmillan, New York (1929).
• [24] Woodger, J. H.: The Axiomatic Method in Biology. Cambridge University Press, Cambridge (1937).
• [25] Woodger, J.H.: The Technique of Theory Construction. In: Carnap, R. et al. (Eds.): International Encyclopedia of Unified Science, II, 5. Chicago University Press, Chicago, pp 1–81 (1939).