Towards a logic of semiotic systems
Thiopoulos, Constantin
Mathématiques et Sciences humaines, Tome 120 (1992), p. 49-60 / Harvested from Numdam
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L'approche rationnelle dénotationnelle de la sémantique n'est pas propre à saisir la dimension structurelle de la signification qui est immanente dans les systèmes sémiotiques. Le besoin d'une approche structurelle s'intensifie en raison d'un changement d'attitude dans le domaine de l'Intelligence Artificielle, introduit par le «Connectionism» et «l'Information retrieval». Cet article présente ce type d'approche sémantique fondée sur la phénoménologie et l'autopoesis et propose une formalisation par la théorie des catégories.

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.

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     author = {Thiopoulos, Constantin},
     title = {Towards a logic of semiotic systems},
     journal = {Math\'ematiques et Sciences humaines},
     volume = {120},
     year = {1992},
     pages = {49-60},
     mrnumber = {1164608},
     zbl = {0846.68065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/MSH_1992__117__49_0}
}

Thiopoulos, Constantin. Towards a logic of semiotic systems. Mathématiques et Sciences humaines, Tome 120 (1992) pp. 49-60. http://gdmltest.u-ga.fr/item/MSH_1992__117__49_0/

Barwise, J. & Perry, J., Situations and attitudes, Cambridge, MIT Press, 1983.

Bell, J.L., "Categories, toposes and sets", Synthese, 51, 293-337, 1982. | MR 662987 | Zbl 0487.18002

Dreyfus, H.L., What computers can't do, New York, Harper & Row, 1972.

Eco, U., The role of the reader, Bloomington, Indiana University Press, 1979.

EILENBERG, S. & HARRISON, D.K. & MAC LANE, S. (Eds.), Proceedings of the conference on categorical algebra, La Jolla 1965, Berlin, Springer, 1966. | Zbl 0178.29005

Goldblatt, R. Topoi, The categorial analysis of logic, Amsterdam, North-Holland, 1979. | MR 551362 | Zbl 0434.03050

Heidegger, M., Sein und Zeit, Tübingen, Max Niemeyer, 1979, first print : 1927. | JFM 53.0052.11

Hjelmslev, L., Prolegomena to a theory of language, Madison, University of Wisconsin, 1961.

Hubel, D.H.," The visual cortex of the brain", Scientific American, November, 1963.

Husserl, E., Ideen zu einer reinen Phaenomenologie und phaenomenologischen Philosophie. Husserliana Band III1, Den Haag, Martinus Nijhoff, 1976.

Johnstone, P., Topos theory, London, New York, Academic Press, 1977. | MR 470019 | Zbl 0368.18001

Lambek, J. & Scott P.J., Introduction to higher order categorical logic, Cambridge, Cambridge University Press, 1986. | MR 856915 | Zbl 0596.03002

Lawvere, F.W., The category of categories as a foundation for mathematics, in Eilenberg et al 1966, 1-20. | MR 207517 | Zbl 0192.09702

Mac Lane, S., Kategorien, Berlin, Springer, 1972. | Zbl 0243.18001

Makkai, M. & Reyes, G.E., First order categorical logic, Berlin, Springer, 1977. | MR 505486 | Zbl 0357.18002

Maturana, H., "Biology of language", in MILLER, G.A. & LENNEBERG, E. (Eds.), Psychology and biology of language and thought., New York, Academic Press, 1978.

Maturana, H. & Varela, F., Autopoiesis and cognition, Dordrecht, D. Reidel, 1980.

Merleau-Ponty, M., Die Struktur des Verhaltens, Berlin, De Gruyter, 1976, first print : 1942.

Merleau-Ponty, M., Phaenomenologie der Wahrnehmung, Berlin, De Gruyter, 1974, first print : 1945.

Norman, D.A. & Rumelhart, D.E., Explorations in cognition, San Francisco, Freeman, 1975.

Rieger, B., Unscharfe Semantik, Frankfurt am Main, Peter Lang, 1989.

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.

Rieger B.& Thiopoulos, C., "A self-organizing system in hypertext", to appear in Proceedings of the first conference on quantitative linguistics, Trier, 1991.

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.

Tarski, A., Logic, semantics, metamathematics, Oxford, Clarendon Press, 1956. | MR 78296 | Zbl 0075.00702

Thiopoulos, C., "Meaning metamorphosis in the semiotic topos", Theoretical Linguistics, 16(21), 1990. | MR 1118818

Varela, F., Principles of biological autonomy, New York, North-Holland, 1979.

Winograd, T. & Flores, F., Understanding computers and cognition, Norwood, NJ., Ablex, 1986.