| __DISF - Interdisciplinary Encyclopaedia of Religion and Science | Infinity__ *(Site not responding. Last check: 2007-11-07)* |

| | However, the Cantorian demonstration, through the antinomy of the **“power** **set”** (the **set** of all subsets of a given **set**), of the inconsistency and contradictory nature of the “universal **set”**, or **“set** of all **sets”**, is not a sort of accident within the course of the development of his research. |

| | As we have seen, the demonstration of the antinomy of the **power** **set** was functional for the Neoplatonic notion of and therefore for the notion of transcendence as pure “indescribability”. |

| | In fact, if this maximal ordinal **set** was to exist, its limiting element should belong (as it is the maximal **set**) and at the same time should not belong (as it is the limiting element) to the ordinal **set** that it orders. |

| www.disf.org /en/Voci/13.asp (7090 words) |