Obras escogidas/M. Sánchez-Mazas. - v.1.

The aim of this study is to try to make use of real numbers for representing an infinite analysis of individual notions in an infinity of possible worlds.As an introduction to the subject, the author shows, firstly, the possibility of representing Boole's lattice of universal notions by an associate Boole's lattice of rational numbers.But, in opposition to the universal notions, definable by a finite number of predicates, an individual notion, cannot admits this sort of definition, because each state of an (...) individual subject is characterized by the values taken by an infinite number of predicates, each of whom may appear or disappear in the next state.The notion of “degree of identification of an individual notion” is then introduced and arithmetized by a rational number.As an individual notion can be defined by a convergent succession of degrees of identification, the real characteristic number of such an individual notion can be defined by the corresponding convergent succession of rational numbers, satisfying Cauchy's conditions for the convergence of successions. (shrink)

A través de los recursos esenciales de la semantica de los mundos posibles se comparan y relacionan, por un lado, la dimensión científica y filosófica, y por otro, la dimensión tecnica y la utópica, utilizándose para ello las relaciones entre composibilidad (o compatibilidad) y existencia, y entre el mundo actual, en el que opera la técnica, y mundos posibles, hacia los que se proyecta la utopía. En esta tarea resulta de interés prestar atención a la problematica clasica acerca de los (...) poliedros posibles e imposibles, en relación con el problema de la afectación, exclusión o ajuste de los “monstruos” de la lógica o de la razón.Through the essential means of the semantics of possible worlds, some dimensions are compared and related: firstly, the scientific and philosophical dimension, and secondly the technical and utopian dimension. For that purpose the relationship between compossibility (or compatibility) and existence are used as well as that between the real world, in which technique works, and possible worlds, towards utopia is oriented. In this task it is interesting to pay attention to the classic issue of possible and impossible polyhedrons, concerning affectation, exclusion or fitting of “monsters” of logic or of reason. (shrink)