Footnotes to Plato from the foothills of the Superstition Mountains

Tag: set theory

  • The Existence of Infinite Sets

    A reader asked whether one can  prove that there are actually infinite sets.  Well, let's see. It occurs to me that 'actually infinite set' is a pleonastic expresson. If there are infinite sets, then they are actually infinite, such that a potentially infinite set would be no set at all. For if there are mathematical (as opposed…