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LA PROPIEDAD TRANSITIVA.

En el Pleno del Ayuntamiento de Los Palacios que se celebró el día 19 de octubre de 2006 (un Pleno, en otros aspectos, revelador en mi opinión), el Concejal Delegado de Delegado de Educación, Urbanismo e Información, D. Ismael Perea Martín (D. Ismael), hizo mención a la propiedad transitiva de los conjuntos ante diferentes calificativos relacionados con el prefijo "in" aportados gentilmente por la oposición, como por ejemplo "incompetente", diciendo que si se tachaba de esos "in" al equipo de gobierno, en virtud de la propiedad transitiva, la oposición estaba tachando a los votantes del PSOE, a los ciudadanos, de esos mismos "in".

Ante la incredulidad del portavoz del Grupo Municipal Andalucista en la oposición, sobre lo adecuado de este razonamiento, D. Ismael se mostró firme diciendo que era así y que se lo podría demostrar cuando quisiera. Por desgracia, el portavoz del P.A. no insistió y D. Ismael no tuvo que demostrarlo. Hubiese sido terrible para él porque se marcó un farol, no hubiera podido demostrar tal relación. Veamos por qué.

La propiedad transitiva o, más exactamente, la relación transitiva es una propiedad de los conjuntos de números enteros que dice (más o menos) que si un conjunto A está relacionado con otro B y, además, este B está relacionado con otro C, los conjuntos A y C están, así mismo, relacionados. Es decir, un conjunto de elementos no es o no deja de ser transitivo, lo que es transitivo es la relación entre ambos. Relaciones que han de ser cuantitativas, no cualitativas.

Por tanto, lo que hay que demostrar si la relación establecida es transitiva. Veamos la relación, que podría ser así:

Los votantes del PSOE (A) eligieron al actual Equipo de Gobierno (B).
El Equipo de Gobierno (B) pertenece al grupo de los Incompentes (C).
Los votantes del PSOE (A) pertenecen al grupo de los Incompetentes (C).

O lo que es lo mismo:

A elige a B.
B pertenece a C.
A pertenece a C.

La relación "elegir" y la relación "pertenecer" son diferentes. Si entrar de lleno en sus características, para establecer si los conjuntos cumplen la relación transitiva, esta relación debe ser la misma. Sin embargo, no lo es. Además, la relación "elegir" no es cuantitativa, sino cualitativa, depende de la opción personal del sujeto de un determinado conjunto.

Realmente, lo que D. Ismael quiso establecer es una relación lógica. Lamentablemente, es un planteamiento es falaz. Es igual que este silogismo:

Sócrates es un hombre.
Sócrates murió envenenado.
Todos los hombres mueren envenenados.

El planteamiento es falso porque no existe razón que indique que todos los hombres vayan a morir envenenados, a pesar de que Sócrates fue un hombre y, además, muriese envenenado.

Así pues, D. Ismael, usted no tiene razón. Se marcó un farol y si su oponente hubiese tenido los conocimientos adecuados o hubiese insistido un poco más, podría haberlo puesto en un aprieto. ¡Tenga más cuidado la próxima vez, hombre!

18:49 | zezentinueve | 52 Comentarios | #

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LIKO



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en esta pagina tendria que tener,que fueran mas explisitas las definiciones de cualquier materia o estudio de algo.



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