This thesis explores Russell’s Paradox and the comparative analysis of Zermelo-Fraenkel set theory, von Neumann-Bernays-Gödel set theory, and Russell’s Type Theory from a mathematical Platonist perspective, focusing on the ontology of sets. Our conclusion posits that, although these theories have made significant attempts in addressing Russell’s paradox and other inconsistencies of naïve set theory, we currently lack a proper language for expressing set theory that fully captures the underlying Platonic world of sets. Consequently, it is impossible to definitively refute or accept any of the given theories as the ultimate solution the paradox.

This paper explores the idea of community through the proposals of some contemporary thinkers who have tried to rethink the concept of being in common assuming some of its paradoxes. For authors like Roberto Esposito, Jean-Luc Nancy and Giorgio Agamben, thinking the community” implies reflecting on it from the paradoxes and contradictions it contains, both conceptually and in terms of everyday reality. The central paradox that sums such contradictions is stating that the community is feasible only to the extent that it is not. Close to Russell’s paradox, such aporia allows us to recognize the difference between the community that takes care of its contradictions and inconsistencies, the community of the crisis, and the one that, conceived in absolute and unequivocal terms, is not responsible for their antinomies and contradictions, and leads to what we call the community crisis. / En el presente artículo se hace un recorrido por la idea de comunidada través de algunos pensadores contemporáneos que han tratado de repensar el estar en común asumiendo algunas de sus paradojas. Para autores como Roberto Esposito, Jean-Luc Nancy y Giorgio Agamben, pensar la comunidad” implica reflexionarla a partir de las paradojas y contrasentidos que contiene, tanto anivel conceptual como a nivel de la realidad cotidiana. La paradoja central que resume tales contrasentidos es la que afirma que la comunidad es realizable solo en la medida en que no lo es. Cercana a la paradoja de Russell, tal aporía nospermite reconocer la diferencia entre una comunidad que se hace cargo de sus contrasentidos e incoherencias, la comunidad de la crisis, y otra que al concebirse en términos unívocos y absolutos, es decir, que no se hace cargo de sus antinomias y contradicciones, nos lleva a lo que hemos llamado crisis de la comunidad.