Abstract
The paper is an exercise in descriptive ontology, with specific applications to problems in the geographical sphere. It presents a general typology of spatial boundaries, based in particular on an opposition between bona fide or physical boundaries on the one hand, and fiat or human-demarcation-induced boundaries on the other. Cross-cutting this opposition are further oppositions in the realm of boundaries, for example between: crisp and indeterminate, complete and incomplete, enduring and transient, symmetrical and asymmetrical. The resulting typology generates a corresponding categorization of the different sorts of objects which (complete) boundaries determine or demarcate. The theory is applied first of all in the areas of geography and of administrative and property law. Indications are then given as to how the typology may be applied also in other fields where physical and fiat boundaries are at work, including the field of cognitive linguistics and the related field of the ontology of truth.
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References
Brentano, Franz 1988 Philosophical Investigations on Space, Time and the Continuum, English translation by Barry Smith, London/Sydney: Croom Helm.
Cartwright, Richard 1975 “Scattered Objects”, in K. Lehrer (ed.), Analysis and Metaphysics, Dordrecht: Reidel, 153–171, reprinted in Cartwright, Philosophical Essays, Cambridge, Mass.: MIT Press, 1987, 171–186.
Casati, Roberto andVarzi, Achille (forthcoming) “The structure of Spatial Localization”, Philosophical Studies.
Cohn, A. G. and Gotts, N. M. 1994 “A Theory of Spatial Relations with Indeterminate Boundaries” in Eschenbach, Habel and Smith (eds.), 131–150.
Eschenbach, Carola, Habel, Christopher and Smith, Barry (eds.) 1994 Topological Foundations of Cognitive Science, Hamburg: Graduiertenkolleg Kognitionswissenschaft.
Hering, Ewald 1964 Outlines of a Theory of the Light Sense, trans. L. M. Hurvich and D. Jameson, Cambridge, Mass.: Harvard University Press.
Herring, John R. 1991 “The Mathematical Modeling of Spatial and Non-Spatial Information in Geographic Information Systems”, in Mark and Frank, eds., 313–350.
Lakoff, George 1987 Women, Fire, and Dangerous Things, Chicago: University of Chicago Press.
Langacker, Ron 1987/1991 Foundations of Cognitive Grammar, 2 volumes, Stanford: Stanford University Press.
Mark, David M. and Andrew U. Frank (eds.) 1991 Cognitive and Linguistic Aspects of Geographic Space, Dordrecht/Boston/London: Kluwer.
Meinong, Alexius 1899 “Über Gegenstände höherer Ordnung und deren Verhältnis zur inneren Wahrnehmung”, Zeitschrift für Psychologie und Physiologie der Sinnesorgane, 21, 182–272.
Ojeda, A. 1993 Linguistic Individuals, Stanford: CSLI.
Prescott, J. R. V. 1978 Boundaries and Frontiers, London: Croom Helm, Totowa, N.J.: Rowman and Littlefield.
Smith, Barry 1987 “On the Cognition of States of Affairs”, in K. Mulligan, ed., Speech Act and Sachverhalt: Reinach and the Foundations of Realist Phenomenology, Dordrecht/Boston/Lancaster: Nijhoff (1987), 189–225.
Smith, Barry 1992 “Characteristica Universalis”, in K. Mulligan, ed., Language, Truth and Ontology (Philosophical Studies Series), Dordrecht/Boston/London: Kluwer (1992), 50–81.
Smith, Barry 1993 “Ontology and the Logistic Analysis of Reality”, in N. Guarino and R. Poli (eds.), Proceedings of the International Workshop on Formal Ontology in Conceptual Analysis and Knowledge Representation, Padova: Institute for Systems Theory and Biomedical Engineering of the Italian National Research Council, 51–68. Revised version in G. Haefliger and P. M. Simons (eds.), Analytic Phenomenology, Dordrecht/Boston/London: Kluwer (forthcoming), 223–245.
Smith, Barry 1994 “Fiat Objects”, in N. Guarino, L. Vieu and S. Pribbenow (eds.), Parts and Wholes: Conceptual Part-Whole Relations and Formal Mereology, 11th European Conference on Artificial Intelligence, Amsterdam, 8 August 1994, Amsterdam: European Coordinating Committee for Artificial Intelligence, 15–23.
Smith, Barry 1995 “Zur Kognition räumlicher Grenzen: Eine mereotopologische Untersuchung”, Kognitionswissenschaft, 4, 177–184.
Smith, Barry (forthcoming) “Boundaries”, in L. H. Hahn (ed.), The Philosophy of Roderick Chisholm, LaSalle: Open Court.
Talmy, Leonard 1995 “Fictive Motion in Language and ‘Ception'”, to appear in P. Bloom, et al., eds., Language and Space, Cambridge, Mass.: MIT Press.
Talmy, Leonard (forthcoming) “The Windowing of Attention in Language”, in M. Shibatani and S. Thompson (eds.), Essays in Semantics, Oxford: Oxford University Press.
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Smith, B. (1995). On drawing lines on a map. In: Frank, A.U., Kuhn, W. (eds) Spatial Information Theory A Theoretical Basis for GIS. COSIT 1995. Lecture Notes in Computer Science, vol 988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60392-1_31
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DOI: https://doi.org/10.1007/3-540-60392-1_31
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