Foundations of Science

, Volume 18, Issue 4, pp 641–653 | Cite as

Induction from a Single Instance: Incomplete Frames

  • Rafal UrbaniakEmail author
  • Frederik Van De Putte
Open Access


In this paper we argue that an existing theory of concepts called dynamic frame theory, although not developed with that purpose in mind, allows for the precise formulation of a number of problems associated with induction from a single instance. A key role is played by the distinction we introduce between complete and incomplete dynamic frames, for incomplete frames seem to be very elegant candidates for the format of the background knowledge used in induction from a single instance. Furthermore, we show how dynamic frame theory provides the terminology to discuss the justification and the fallibility of incomplete frames. In the Appendix, we give a formal account of incomplete frames and the way these lead to induction from a single instance.


Concepts Dynamic frames Single instance induction Induction 


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This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.


  1. Andersen H., Barker P., Chen X. (2006) The cognitive structure of scientific revolutions. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  2. Barsalou L. (1987) The instability of graded structure: Implications for the nature of concepts. In: Neisser U. (Ed.), Concepts and conceptual development: Ecological and intellectual factors in categorization. Cambridge University Press, Cambridge, pp 101–140Google Scholar
  3. Barsalou L. (1993) Concepts and meaning. In: Barsalou L., Yeh W., Luka B., Olseth K., Mix K., Wu L. (eds) Chicago Linguistic Society 29: Papers from the parasession on conceptual representations. University of Chicago, Chicago, pp 23–61Google Scholar
  4. Barsalou L., Hale C. (1993) Components of conceptual representation from feature lists to recursive frames. In: Van Mechelen I., Hampton J., Michalski R., Theuns P. (eds) Categories and concepts: Theoretical views and inductive data analysis. Academic Press, New York, pp 97–144Google Scholar
  5. Barsalou L., Yeh W. (2006) The situated nature of concepts. American Journal of Psychology 119: 349–384CrossRefGoogle Scholar
  6. Batens D., Haesaert L. (2003) On classical adaptive logics of induction. Logique et Analyse 46: 225–290Google Scholar
  7. Davies, T. (1988). Determination, uniformity, and relevance: Normative criteria for generalization and reasoning by analogy. In Analogical reasoning (pp. 227–250). Dordrecht: Kluwer Academic Publishers.Google Scholar
  8. Fodor J., Garrett M., Walker E., Parkes C. (1999) Against definitions. In Concepts: Core readings. The MIT Press, CambridgeGoogle Scholar
  9. Goodman N. (1978) Fact, fiction and forecast. The Bobbs-Merrill Company Inc, IndianapolisGoogle Scholar
  10. Heit E. (2000) Properties of inductive reasoning. Psychonomic Bulletin & Review 7: 569–592CrossRefGoogle Scholar
  11. Kuhn T. (1974) Second thoughts on paradigms. In: Suppe F. (Ed.), The structure of scientific theories. University of Illinois Press, Champaign, pp 459–482Google Scholar
  12. Medin D., Schaffer M. (1978) Context theory of classification learning. Psychological Review 85(3): 207–238CrossRefGoogle Scholar
  13. Mill J. (1973) A system of logic: Ratiocinative and inductive. University of Toronto press, TorontoGoogle Scholar
  14. Norton J. (2003) A material theory of induction. Philosophy of Science 70(4): 647–670CrossRefGoogle Scholar
  15. Quine W.V. (1951) Two dogmas of empiricism. The Philosophical Review 60: 20–43CrossRefGoogle Scholar
  16. Rosch E. (1973) Natural categories. Cognitive Psychology 4: 328–350CrossRefGoogle Scholar
  17. Rosch E. (1975) Congitive representations of semantic categories. Journal of Experimental Psychology: General 104: 192–233CrossRefGoogle Scholar
  18. Rosch E. (1975) Family resemblances: Studies in the internal structure of categories. Cognitive Psychology 7: 573–605CrossRefGoogle Scholar
  19. Rosch E. (1978) Principles of categorization. In: Rosch E., Lloyd B. (eds) Cognition and categorization. Erlbaum, Hillsdale, pp 27–48Google Scholar
  20. Rosch E. (1983) Prototype classification and logical classification the two systems. In: Scholnick E. (Ed.), New trends in cognitive representation. Erlbaum, Hillsdale, pp 73–86Google Scholar
  21. Rosch E. H. (1973) On the internal structure of perceptual and semantic categories. In: Moore T. E. (Ed.), Cognitive development and the acquisition of language. Academic, Dublin, pp 111–144Google Scholar
  22. Steel D. (2008) Across the boundaries extrapolation in biology and the social sciences. Oxford University Press, OxfordGoogle Scholar
  23. Thagard P., Nisbett R. E. (1982) Variability and confirmation. Philosophical Studies 42: 379–394CrossRefGoogle Scholar
  24. Urbaniak R. (2010) Capturing dynamic conceptual frames. Logic Journal of IGPL 18(3): 430–455CrossRefGoogle Scholar
  25. Vickers, J. (2010). The problem of induction. In: E. N. Zalta (Ed.), The stanford encyclopedia of philosophy. Fall 2010 edition.Google Scholar
  26. Wittgenstein L. (1953) Philosophical investigations. Blackwell, OxfordGoogle Scholar

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© The Author(s) 2012

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 2.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.Institute of Philosophy, Sociology and JournalismGdansk UniversityGdanskPoland
  2. 2.Centre for Logic and Philosophy of ScienceGhent UniversityGhentBelgium

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