Aspectos de la obra de Cantor apreciados desde la teoría de categorías y funtores
- de Lorenzo, Javier (coord.)
ISSN: 0210-6086
Year of publication: 2023
Issue Title: Filosofía de la matemática
Volume: 72
Issue: 210
Pages: 263-292
Type: Article
More publications in: Estudios filosóficos
Abstract
With the resources of category theory initiated in the middle of the twentieth century and its fragment, topos theory from 1970 onwards, it has been possible to clarify some of Cantor’s orig-inal and profound intuitions about the nature of abstract sets left aside when Zermelo axiomatized set theory at the beginning of the century. This “Cantor paradise” defended by Hilbert against the in-tuitionists has been generalized by the Grothendieck-Lawvere-Tier-ney topos, which provide multiple formal models of set theory in which to interpret classical and intuitionistic mathematics