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Axiomathes

, Volume 17, Issue 1, pp 53–73 | Cite as

A perceptual account of definitions

  • Humphrey van Polanen PetelEmail author
Original Paper

Abstract

The traditional definition per genus et differentiam is argued to be cognitively grounded in perception and in order to avoid needless argument, definitions are stipulated to assert boundaries. An analysis of the notion of perspective shows that a boundary is a composite of two distinctions: similarity that includes and difference that excludes. The concept is applied to the type-token distinction and percepts are shown to be the result of a comparison between a token as representing some phenomenon and a type as representing the kind of object the phenomenon might be. The Principle of Connection is proposed as the mental architecture that gives rise to percepts. The value of a percept is shown to be one of Identical, Similar, Different or Contrary and its perceptual aspects represent the cognitive schema of Essence, Quality, Quantity and Relation. The two notions of similarity and difference are claimed to constitute the necessary and sufficient conditions for definitions. Accordingly, the qualitative elements of a definition signify the genus as representing the similarity of the defined entity in terms of others of its kind and the quantitative elements signify the differentia as representing the difference it has from everything else. Paying proper attention to both qualitative and quantitative aspects will enable formulation of definitions that are ‘good’.

Keywords

Boundaries Categorisation Cognition Definition Difference Perception Similarity 

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References

  1. Aristotle (1995a) On generation and corruption. In: Barnes J (eds) The complete works of Aristotle: the revised Oxford translation. Princeton University Press, Princeton, pp 512–554Google Scholar
  2. Aristotle (1995b) On the soul. In: Barnes J (ed) The complete works of Aristotle: the revised Oxford translation. Princeton University Press, Princeton, pp 641–692Google Scholar
  3. Barsalou LW (1983) Ad hoc categories. Mem Cognition 11:211–227Google Scholar
  4. Bateson G (1968) Redundancy and coding. In: Sebeok TA (ed) Animal communication: techniques of study and results of research. Indiana University Press, Bloomington, pp 614–626Google Scholar
  5. Black M. (1937) Vagueness: an exercise in logical analysis. Philos Sci 4:427–455CrossRefGoogle Scholar
  6. Bochenski IM (1961) A history of formal logic. University of Notre dame Press, Notre dame, IndianaGoogle Scholar
  7. Clark HH (1996) Using language. Cambridge University Press, CambridgeGoogle Scholar
  8. D’Andrade R (1995) The development of cognitive anthropology. Cambridge University Press, CambridgeGoogle Scholar
  9. Davidson D (1986) A coherence theory of truth and knowledge. In: LePore E (eds) Truth and interpretation: perspectives on the philosophy of Donald Davidson. Blackwell, Oxford, pp␣307–319Google Scholar
  10. de Morgan A, Taylor AE (1847) Formal logic. The Open Court Company, London (1926)Google Scholar
  11. Foote P (1961) Goodness and choice. Proc Aristotelian Soc 35:45–60Google Scholar
  12. Gelman SA (2003) The essential child: origins of essentialism in everyday thought. Oxford University Press, OxfordGoogle Scholar
  13. Greeno JG (1974) Processes of learning and comprehension. In: Gregg LW (ed) Knowledge and cognition. John Wiley & Sons, New York, pp 17–28Google Scholar
  14. Grice HP, Strawson PF (1956) In defense of a dogma. Philos Rev 65:141–158CrossRefGoogle Scholar
  15. Hallett G (1977) A companion to Wittgenstein’s “Philosophical investigations”. Cornell University Press, IthacaGoogle Scholar
  16. Hollingworth HL (1913) Judgements of similarity and difference. Psycho Rev 20:271–289CrossRefGoogle Scholar
  17. Jacobson AL (1963) Learning in flatworms and annelids. Psycho Bull 60:74–94CrossRefGoogle Scholar
  18. Kernighan BW, Ritchie DM (1988) The C programming language, 2nd edn. Prentice Hall, Englewood Cliffs, NJGoogle Scholar
  19. Lesniewski S (1931) Ueber Definitionen in der sogenannten Theorie der Deduktion. In: Surma SJ, Srzednicki JT, Barnett DI (eds) Collected works, Boston, ReidelGoogle Scholar
  20. Morris C (1938) Foundations of the theory of signs. In: Morris C (ed) Writings on the general theory of signs. Mouton, The Hague, pp 17–74 (1971)Google Scholar
  21. Morris C (1946) Signs, language and behavior. Prentice Hall, New YorkGoogle Scholar
  22. Newell A (1990) Unified theories of cognition. Harvard University Press, Cambridge, MAGoogle Scholar
  23. Pears DF (1953) Universals. In: Flew AGN (ed) Logic and language, 2nd series. Basil Blackwell, Oxford, pp 51–81Google Scholar
  24. Peirce CS (1868) On a new list of categories. Proc Am Acad Arts Sci 7:287–298Google Scholar
  25. Plato (1997) Protagoras. In: Cooper JM (ed) Plato complete works. Hackett Publishing, Indianapolis, pp 746–790Google Scholar
  26. Priest G (1979) The logic of paradox. J Philos Logic 8:219–241CrossRefGoogle Scholar
  27. Quine WVO (1960) Word and object. MIT Press, Cambridge, MAGoogle Scholar
  28. Quine WVO (1961) Two dogmas of empiricism. In: Quine WVO (ed) From a logical point of view. Harvard University Press, Cambridge, pp 20–46Google Scholar
  29. Randall R (1976) How tall is a taxonomic tree? Some evidence for dwarfism. Am Ethnol 3:543–553CrossRefGoogle Scholar
  30. Robinson R (1954) Definition. Clarendon Press, OxfordGoogle Scholar
  31. Rosch E (1975) Cognitive representations of semantic categories. J Exp Psychol: General 104:193–233Google Scholar
  32. Simon HA (1962) The architecture of complexity. Proc Am Philos Soc 106:467–482Google Scholar
  33. Ungerer F, Schmid H-J (1996) An introduction to cognitive linguistics. Longman, LondonGoogle Scholar
  34. Wells HG (1908) First and last things: a confession of faith and rule of life. Watts & Co, London (1929)Google Scholar
  35. Wertheimer M (1912) Experimentelle Studien über das Sehen von Bewegungen. Zeitschrift für Psychologie 61:161–265Google Scholar
  36. Whitehead AN, Russell B (1960) Principia mathematica, 2nd edn. University Press, CambridgeGoogle Scholar
  37. Wittgenstein L (1922) Tractatus Logico-Philosophicus. Routledge, London (1999)Google Scholar
  38. Wittgenstein L (1997) Philosophical investigations, 2nd edn. Blacwell Publishers, OxfordGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Linguistics ProgramMonash UniversityMelbourneAustralia

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