Formalization of Basic Semiotic Notions in Set Theoretic Terms

 

Alisa Zhila

 

ABBYY Software House, Moscow, Russia. (alisa_zh@mail.ru).

 

Manuscript received June 15, 2010.
Manuscript accepted for publication October 1, 2010.

 

Abstract

Many handicaps to effective introduction of semiotic achievements into software development in the spheres related to human perception such as interfaces, computer languages, DB queries, arise due to the absence of analysis and modeling methods adequate to the complicity of the investigated objects. A formal model that expresses basic semiotic notions in species of structures is presented in the paper. The generality of initial assumptions and restrictions allows the model to describe a vast variety of communication situations from the semiotic point of view. The effectiveness of the approach is demonstrated by its stricter definitions of basic semiotic notions (sign, signified, signifier, sign types) and by the example description of sign situations (sign reading, sign reproduction).

Key words: Formal modeling, set theory, species of structures, semiotics, sign, signifier, signified, sign vehicle.

 

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REFERENCES

[1] D. Chandler. (2008, June). Semiotics for Beginners [Online]. Available: http://www.aber.ac.uk/media/Documents/S4B/).         [ Links ]

[2] J. Deely. Basics of Semiotics. Bloomington and Indianapolis: Indiana University Press, 1990.         [ Links ]

[3] L.E. Joseph. (July, 2008). Peirce's Theory of Semiosis: Toward a Logic of Mutual Affection [Online]. Available: http://www.chass.utoronto.ca/epc/srb/cyber/espout.html.         [ Links ]

[4] Z.A. Kouchkarov, Metody Kontseptualnogo Analiza i Sinteza v Teoretitcsheskom Issledovanii i Proektirovanii Socialno–Economicheskih System, Vols. I–II. Moscow: Koncept, 2006.         [ Links ]

[5] G.P. Melnikov, Systemology and Linguistic Aspects of Cybernetics. Translated from Russian by J.A. Cooper. Amsterdam: OPA, 1988.         [ Links ]

[6] G.P. Melnikov, Sistemnaya Typologia Yazykov: Syntez Morfologicheskoi Classifikatsii so Stadialnoi. Moscow: Izdatel'stvo RUDN, 2000.         [ Links ]

[7] C.S. Peirce, Vol. I of The Collected Papers of Charles Sanders Peirce, Principles of Philosophy. Charles Hartshorne and Paul Weiss (eds), Cambridge, MA: Harvard University, 1931.         [ Links ]

[8] C.S. Peirce, Vol. II of The Collected Papers of Charles Sanders Peirce, Elements of Logic. Charles Hartshorne and Paul Weiss (eds), Cambridge, MA: Harvard University, 1931.         [ Links ]

[9] I. N. Ponomarev, Matematitscheskyi Apparat i Programmnye Sredstva Konceptualnogo Proectirovania. PhD dissertation, MIPT (SU), Moscow, 2007.         [ Links ]

[10] F. de. Saussure, Cours de linguistics générale. Charles Bally and A. Séchehaye (eds.), Paris, Payot, 1916.         [ Links ]

[11] S. Simpkins. Critical Semiotics [Online]. (2008, July) Available: http://www.chass.utoronto.ca/epc/srb/cyber/simout.html.         [ Links ]

[12] Yu. S. Stepanov, "Vvodnaya Statya v Mir Semiotiki," in Antologia. Semiotika, Moscow, Akademitscheskyi Prospect, Ekaterinburg, Delovaya Kniga, 2001, pp. 5–42.         [ Links ]

[13] P.J. Thibault, Saussure And Beyond: Renewing Semiotic Foundations [Online] (2008, July) Available: http://www.chass.utoronto.ca/epc/srb/cyber/thiout.html.         [ Links ]

[14] T.V. Tsyvian, Model' Mira i Ee Lingvistitscheskie Osnovy. Moscow: KomKniga, 2006.         [ Links ]

[15] A.V. Zhila and V. M. Kapoustian, "Obzor Semanticheskih Modelei i Issledovanie Vozmozhnosti Ih Primeneniya k Interpretacii Znakovyh Kategoryi C.S. Peirce" in Grigorievskie Chteniya. Simvoly, Kody, Znaki, V. E. Eremeev and I. D. Grigor'eva (eds), Moscow Izdatelstvo Moskovskogo Gumanitarnogo Instituta, 2007, pp. 141–147.         [ Links ]

[16] A.V. Zhila, Basic Semiotic Notions Explication in Species of Structures for Their Further Formal Systematization with Advantages of Extensional Approach, M.S. Thesis, MIPT (SU), Moscow, 2008.         [ Links ]

[17] F. Bergeron, G. Labelle, and P. Leroux, Introduction to the Theory of Species of Structures [Online] (2008, June) Available: http://www.newton.ac.uk/programmes/CSM/Abstract3/Species_intro.pdf.         [ Links ]