“Mathematics, synthetic unity and constitutive  a priori”. Startingfrom the emphasis about the kantian idea of the originary synthetic unity ofapperception like the basic function on which rest the production of all syntheticjudgment, in this paper I defend the idea of constitutive a priori of experienceunder the form of a similar synthetic principle but essentially formal, namely,the concept of transformation and group of transformations. To the same time,I try to show that Kant himself inspired, for articulate his own position, onmathematics, especially on synthetic geometry

Partiendo del énfasis sobre la idea kantiana de originaria unidad sintética de apercepción como la función básica sobre la cual descansa la producción de todo juicio sintético, en este artículo defiendo la idea de a priori constitutivo de la experiencia bajo la forma de un principio sintético semejante pero esencialmente formal, a saber, el concepto de transformación y grupo de transformaciones. Paralelamente, intento mostrar, también, que Kant se inspiró, para articular su propia concepción, en las matemáticas, especialmente en la geometría sintética.

“Mathematics, synthetic unity and constitutive  a priori”. Startingfrom the emphasis about the kantian idea of the originary synthetic unity ofapperception like the basic function on which rest the production of all syntheticjudgment, in this paper I defend the idea of constitutive a priori of experienceunder the form of a similar synthetic principle but essentially formal, namely,the concept of transformation and group of transformations. To the same time,I try to show that Kant himself inspired, for articulate his own position, onmathematics, especially on synthetic geometry