"The logic of infinities (see set theory) requires that an absolute God be One.
The many gods of the limited variety can fulfill various niches, but in their imperfection they always leave room for yet one more god."
Absolutes are categorically different from the world of particulars. Logical treatment of particulars is well known. Logical treatment of absolutes is based on the set theoretical work of Georg Cantor with infinities.
Note that in the quote I tried to indicate the absolute, infinite nature of God, as against the limited nature of many gods. God can be either outside the universe, or be transcendental. Many gods are in this universe, and are particular and countable.
The set of all gods contains each god, or a set for each god, as a member, plus the usual null set. That it be open ended is the historical norm. Therefore, new gods can be added to the set.
The set of God has room for only one member, and the null set. This follows from the algebra of infinities. Infinities added to each other or multiplied by any number are all identical. In Cantor's terminology, equal to aleph naught. Identical members of a set are represented only once, since it is still the same member. Ergo, an absolute God is One.
The many gods of the limited variety can fulfill various niches, but in their imperfection they always leave room for yet one more god."
Absolutes are categorically different from the world of particulars. Logical treatment of particulars is well known. Logical treatment of absolutes is based on the set theoretical work of Georg Cantor with infinities.
Note that in the quote I tried to indicate the absolute, infinite nature of God, as against the limited nature of many gods. God can be either outside the universe, or be transcendental. Many gods are in this universe, and are particular and countable.
The set of all gods contains each god, or a set for each god, as a member, plus the usual null set. That it be open ended is the historical norm. Therefore, new gods can be added to the set.
The set of God has room for only one member, and the null set. This follows from the algebra of infinities. Infinities added to each other or multiplied by any number are all identical. In Cantor's terminology, equal to aleph naught. Identical members of a set are represented only once, since it is still the same member. Ergo, an absolute God is One.