Towards a logic of semiotic systems

Constantin Thiopoulos

Mathématiques et Sciences Humaines (1992)

  • Volume: 117, page 49-60
  • ISSN: 0987-6936

Abstract

top
The rationalistic denotational approach to semantics is not adequate for capturing the structural dimension of meaning, which is immanent in semiotic systems. The demand for a structural approach to semantics is intensified by a turn in Artificial Intelligence, introduced by Connectionism and Information Retrieval. This paper presents such a structural approach to semantics founded on the phenomenological and autopoietic paradigms and proposes a formalization with the help of category theory.

How to cite

top

Thiopoulos, Constantin. "Towards a logic of semiotic systems." Mathématiques et Sciences Humaines 117 (1992): 49-60. <http://eudml.org/doc/94423>.

@article{Thiopoulos1992,
abstract = {The rationalistic denotational approach to semantics is not adequate for capturing the structural dimension of meaning, which is immanent in semiotic systems. The demand for a structural approach to semantics is intensified by a turn in Artificial Intelligence, introduced by Connectionism and Information Retrieval. This paper presents such a structural approach to semantics founded on the phenomenological and autopoietic paradigms and proposes a formalization with the help of category theory.},
author = {Thiopoulos, Constantin},
journal = {Mathématiques et Sciences Humaines},
keywords = {semiotic systems; Connectionism; Information Retrieval},
language = {eng},
pages = {49-60},
publisher = {Ecole des hautes-études en sciences sociales},
title = {Towards a logic of semiotic systems},
url = {http://eudml.org/doc/94423},
volume = {117},
year = {1992},
}

TY - JOUR
AU - Thiopoulos, Constantin
TI - Towards a logic of semiotic systems
JO - Mathématiques et Sciences Humaines
PY - 1992
PB - Ecole des hautes-études en sciences sociales
VL - 117
SP - 49
EP - 60
AB - The rationalistic denotational approach to semantics is not adequate for capturing the structural dimension of meaning, which is immanent in semiotic systems. The demand for a structural approach to semantics is intensified by a turn in Artificial Intelligence, introduced by Connectionism and Information Retrieval. This paper presents such a structural approach to semantics founded on the phenomenological and autopoietic paradigms and proposes a formalization with the help of category theory.
LA - eng
KW - semiotic systems; Connectionism; Information Retrieval
UR - http://eudml.org/doc/94423
ER -

References

top
  1. Barwise, J. & Perry, J., Situations and attitudes, Cambridge, MIT Press, 1983. Zbl0946.03007
  2. Bell, J.L., "Categories, toposes and sets", Synthese, 51, 293-337, 1982. Zbl0487.18002MR662987
  3. Dreyfus, H.L., What computers can't do, New York, Harper & Row, 1972. 
  4. Eco, U., The role of the reader, Bloomington, Indiana University Press, 1979. 
  5. EILENBERG, S. & HARRISON, D.K. & MAC LANE, S. (Eds.), Proceedings of the conference on categorical algebra, La Jolla1965, Berlin, Springer, 1966. Zbl0178.29005
  6. Goldblatt, R. Topoi, The categorial analysis of logic, Amsterdam, North-Holland, 1979. Zbl0434.03050MR551362
  7. Heidegger, M., Sein und Zeit, Tübingen, Max Niemeyer, 1979, first print : 1927. JFM53.0052.11
  8. Hjelmslev, L., Prolegomena to a theory of language, Madison, University of Wisconsin, 1961. 
  9. Hubel, D.H.," The visual cortex of the brain", Scientific American, November, 1963. 
  10. Husserl, E., Ideen zu einer reinen Phaenomenologie und phaenomenologischen Philosophie. Husserliana Band III1, Den Haag, Martinus Nijhoff, 1976. 
  11. Johnstone, P., Topos theory, London, New York, Academic Press, 1977. Zbl0368.18001MR470019
  12. Lambek, J. & Scott P.J., Introduction to higher order categorical logic, Cambridge, Cambridge University Press, 1986. Zbl0596.03002MR856915
  13. Lawvere, F.W., The category of categories as a foundation for mathematics, in Eilenberg et al 1966, 1-20. Zbl0192.09702MR207517
  14. Mac Lane, S., Kategorien, Berlin, Springer, 1972. Zbl0243.18001
  15. Makkai, M. & Reyes, G.E., First order categorical logic, Berlin, Springer, 1977. Zbl0357.18002MR505486
  16. Maturana, H., "Biology of language", in MILLER, G.A. & LENNEBERG, E. (Eds.), Psychology and biology of language and thought., New York, Academic Press, 1978. 
  17. Maturana, H. & Varela, F., Autopoiesis and cognition, Dordrecht, D. Reidel, 1980. 
  18. Merleau-Ponty, M., Die Struktur des Verhaltens, Berlin, De Gruyter, 1976, first print : 1942. 
  19. Merleau-Ponty, M., Phaenomenologie der Wahrnehmung, Berlin, De Gruyter, 1974, first print : 1945. 
  20. Norman, D.A. & Rumelhart, D.E., Explorations in cognition, San Francisco, Freeman, 1975. 
  21. Rieger, B., Unscharfe Semantik, Frankfurt am Main, Peter Lang, 1989. 
  22. Rieger, B., "Unscharfe Semantik : zur numerischen Modellierung vager Bedeutungen von Wörtern als fuzzy Mengen", in H.J. Friemel & G. Müller-Schönberger & A. Schütt (Hrsg.) Forum 90 Wissenschaft und Technik, Berlin, Springer, 1990. 
  23. Rieger B.& Thiopoulos, C., "A self-organizing system in hypertext", to appear in Proceedings of the first conference on quantitative linguistics, Trier, 1991. 
  24. Rijsbergen van, C.J., "Towards an information logic", in N.J Belkin & C.J. van Rijsbergen (eds.), Proccedings of the twelfth annual international ACMSIGIR conference on research and development in information retrieval, Cambridge, Massachusetts, special issue of the SIGIR Forum, 1989. 
  25. Tarski, A., Logic, semantics, metamathematics, Oxford, Clarendon Press, 1956. Zbl0075.00702MR78296
  26. Thiopoulos, C., "Meaning metamorphosis in the semiotic topos", Theoretical Linguistics, 16(21), 1990. MR1118818
  27. Varela, F., Principles of biological autonomy, New York, North-Holland, 1979. 
  28. Winograd, T. & Flores, F., Understanding computers and cognition, Norwood, NJ., Ablex, 1986. Zbl0770.68011

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.