Saint Mathew Law and Bonini Paradox in Textual Theory of Complex Models

J.L. Usó-Doménech¹, J Nescolarde-Selva^1, and M. Lloret-Climent¹

¹Department of Applied Mathematics, University of Alicante, Alicante, Spain

Cite this paper:
J.L. Usó-Doménech, J Nescolarde-Selva and M. Lloret-Climent. Saint Mathew Law and Bonini Paradox in Textual Theory of Complex Models. American Journal of Systems and Software. 2014; 2(4):89-93. doi: 10.12691/ajss-2-4-2

Abstract

The mathematical models of the complex reality are texts belonging to a certain literature that is written in a semi-formal language, denominated L(M_T) by the authors whose laws linguistic mathematics have been previously defined. This text possesses linguistic entropy that is the reflection of the physical entropy of the processes of real world that said text describes. Through the temperature of information defined by Mandelbrot, the authors begin a text-reality thermodynamic theory that drives to the existence of information attractors, or highly structured point, settling down a heterogeneity of the space text, the same one that of ontologic space, completing the well-known law of Saint Mathew, of the General Theory of Systems and formulated by Margalef saying: “To the one that has more he will be given, and to the one that doesn't have he will even be removed it little that it possesses."

Keywords:
complex models entropy grammar information temperature of information Zipf’s Law

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