Aristóteles, Porfirio y la División del Conocimiento

Resumen

Division and classification are forms of knowledge that necessitate an understanding of the concept of class or sets. Plato, who advocated the dialectic method and Aristotle, the first to systematically disect the concept of classes and who advocated the syllogistic method, defined the concept of class and methods of classification differently. More recently, at the beginning of the twentieth century a number of paradoxes about thc logic of classes were discovered. Russell's paradox, by considering the class (or set) of ali classes (or sets) that are not members of themselves, is perhaps the most famous. In an attempt to resolve this paradox meta-logical and meta-mathematical solutions, as well as Zermelo's axioms and Russell's type theory were developed. In this paper, the application of the set theory to the bureaucratic structure of the Spanish University allows the discovery of sorne antinomies.