Advertisement

Logical, Ontological and Cognitive Aspects of Object Types and Cross-World Identity with Applications to the Theory of Conceptual Spaces

  • Giancarlo GuizzardiEmail author
Chapter
Part of the Synthese Library book series (SYLI, volume 359)

Abstract

Types are fundamental for conceptual domain modeling and knowledge representation in computer science. Frequently, monadic types used in domain models have as their instances objects (endurants, continuants), i.e., entities persisting in time that experience qualitative changes while keeping their numerical identity. In this paper, I revisit a philosophically and cognitively well-founded theory of object types and propose a system of modal logics with restricted quantification designed to formally characterize the distinctions and constraints proposed by this theory. The formal system proposed also addresses the limitations of classical (unrestricted extensional) modal logics in differentiating between types that represent mere properties (or attributions) ascribed to individual objects from types that carry a principle of identity for those individuals (the so-called sortal types). Finally, I also show here how this proposal can complement the theory of conceptual spaces by offering an account for kind-supplied principles of cross-world identity. The account addresses an important criticism posed to conceptual spaces in the literature and is in line with a number of empirical results in the literature of cognitive psychology.

Keywords

Cross-world identity Identity in conceptual spaces Essential and contingent classification Sortal logic Ontology 

References

  1. Bonatti, L., Frot, E., Zangl, R., & Mehler, J. (2002). The human first hypothesis: Identification of conspecifics and individuation of objects in the young infant. Cognitive Psychology, 44,388–426.CrossRefGoogle Scholar
  2. Booth, A. E., & Waxman, S. R. (2003). Mapping words to the world in infancy: Infants’ expectations for count nouns and adjectives. Journal of Cognition and Development, 4(3),357–381.CrossRefGoogle Scholar
  3. Fitting, M., & Mendelsohn, R. L. (1998). First-order modal logic, synthese library (Vol. 277). Dordrecht: Kluwer Academic Publisher.CrossRefGoogle Scholar
  4. Frege, G. (1980). The foundations of Arithmetic: A logic-mathematical enquiry into the concept of number. Translated from the 1884 original by J. L. Austin, Northwestern University Press; 2nd Revised edition.Google Scholar
  5. Gärdenfors, P. (2000). Conceptual spaces: The geometry of thought. Cambridge, USA: MIT Press.Google Scholar
  6. Gauker, C. A. (2007, September). Critique of the similarity space theory of concepts. Mind & Language, 22(4), 317–345.Google Scholar
  7. Guarino, N., & Welty, C. (2009). An overview of OntoClean. In S. Staab & R. Studer (Eds.), Handbook on ontologies (2nd ed., pp. 201–220). Berlin: Springer.CrossRefGoogle Scholar
  8. Guizzardi, G. (2005). Ontological foundations for structural conceptual models (Telematics Instituut Fundamental Research Series, No. 015). ISSN 1388-1795, The Netherlands.Google Scholar
  9. Guizzardi, G., Wagner, G., Guarino, N., & van Sinderen, M. (2004). An ontologically well-founded profile for UML conceptual models. In A. Persson & J. Stirna (Eds.), Lecture notes in computer science (pp. 112–116). Berlin: Springer. ISBN 3-540-22151-4.Google Scholar
  10. Gupta, A. (1980). The logic of common nouns: An investigation in quantified modal logic. New Haven: Yale University Press.Google Scholar
  11. Heller, B., Herre, H., Burek, P., Loebe, F., & Michalek, H. (2004). General ontological language (Technical Report no. 7/2004). Institute for Medical Informatics, Statistics and Epidemiology (IMISE), University of Leipzig, Germany.Google Scholar
  12. Hirsch, E. (1982). The concept of identity. New York/Oxford: Oxford University Press.Google Scholar
  13. Kripke, S. (1980). Naming and necessity. Princeton: Wiley-Blackwell.Google Scholar
  14. Lewis, D. K. (1986). On the plurality of worlds. Oxford: Blackwell.Google Scholar
  15. Lowe, E. J. (1989). Kinds of being: A study of individuation, identity and the logic of sortal terms. Oxford: Blackwell.Google Scholar
  16. Macnamara, J. (1986). A border dispute, the place of logic in psychology. Cambridge: MIT Press.Google Scholar
  17. MacNamara, J. (1994). Logic and cognition. In J. MacNamara & G. Reyes (Eds.), The logical foundations of cognition, Vancouver studies in cognitive science (Vol. 4, pp. 11–34). New York: Oxford University Press.Google Scholar
  18. Perry, J. (1970). The same F. Philosophical Review, 79(2), 181–200.CrossRefGoogle Scholar
  19. Putnam, H. (1994). Logic and psychology. In J. MacNamara & G. Reyes (Eds.), The logical foundations of cognition, Vancouver studies in cognitive science (Vol. 4, pp. 35–42). New York: Oxford University Press.Google Scholar
  20. Strawson, P. F. (1959). Individuals. An essay in descriptive metaphysics. London/New York: Routledge.CrossRefGoogle Scholar
  21. van Leeuwen, J. (1991). Individuals and sortal concepts: An essay in logical descriptive metaphysics, PhD thesis, University of Amsterdam, Amsterdam.Google Scholar
  22. Waxman, S. R., & Markow, D. R. (1995). Words as invitations to form categories: Evidence from 12- to 13-month-old infants. Cognitive Psychology, 29, 257–302.CrossRefGoogle Scholar
  23. Wiggins, D. (2001). Sameness and substance renewed. Cambridge, UK: Cambridge University Press.CrossRefGoogle Scholar
  24. Xu, F. (2004). Categories, kinds, and object individuation in infancy. In L. Gershkoff-Stowe & D. Rakison (Eds.), Building object categories in developmental time (pp. 63–89). Papers from the 32nd Carnegie Symposium on Cognition, New Jersey, Lawrence.Google Scholar
  25. Zamborlini, V., & Guizzardi, G., (2010). On the representation of temporally changing information in OWL. IEEE 5th Joint International Workshop on Vocabularies, Ontologies and Rules for The Enterprise (VORTE) – Metamodels, Ontologies and Semantic Technologies (MOST), together with 15th International Enterprise Computing Conference (EDOC 2010)(pp. 283–292). Vitória, Brazil.Google Scholar
  26. Zenker, F., & Gärdenfors, P. (2015). Communication, rationality, and conceptual changes in scientific theories. In this volume.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Computer Science DepartmentFederal University of Espírito SantoGoiabeirasBrazil

Personalised recommendations