Cantor's Paradox

Georg Cantor found the paradox that was subsequently named after him either between 1895 and 1897, or in 1899. In short, the paradox is as follows:


 * 1) Set Theory assumes that within every Set is a Power Set. The power set is definitionally larger than the set it is nested within because the power set is composed of every possible recombination of the other elements within this set.
 * 2) Prior to the realization of this paradox, Cantor assumed the existence of an Absolute Infinity, an infinite set itself composed of infinite sets.
 * 3) Given 1 and 2, Absolute Infinity cannot exist. The set of all sets would require a power set larger than itself; this power set, larger than Absolute Infinity, would itself become the Absolute Set, which would then itself require a power set, and so on.