CANTOR’S CONTINUUM PROBLEM
CANTOR’S CONTINUUM PROBLEM

Summary/Abstract: One of the Georg Cantor’s main intellectual preoccupations was the problem of the continuum. In 1878, this old philosophical problem, closely related to the concept of infinity, received a purely mathematical formulation, later known as the Continuum Hypothesis. In his attempt to demonstrate this conjecture, Cantor largely laid the foundations of set theory. I will firstly articulate the configuration of this mathematical expression and then I will present some of its philosophical aspects. The text will focus only on Cantor’s work and not on set theory’s later developments determined by the Zermelo-Fraenkel’s axiomatization

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