Revistes Catalanes amb Accés Obert (RACO)

The Infinite between the Inexhaustible and the Negation

Evandro Agazzi


After having analyzed the reasons that induced ancient Greek mathematics and Aristotle to admit only a weak form of the infinite (the potential one) a broadening of this notion beyond its numerical and geometrical references is explored. The infinite can express the “inexhaustible” ontological richness of the attributes of individual entities or, in another sense, the infinite can be understood as the “unlimited”. In this second sense the “negation” (of limitations) appears as a positive force in the shaping of the ontological meaning of the infinite.

Text complet: PDF (English)