God is More than the Holy Trinity
It is not appropriate to deal with God in the theory of sets.
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects.
It is because God is perfect and complete. A set is defined with its elements. But God does not need any elements to be defined or God does not depend on its elements.
If we handle God as a set, it must have all the elements in this world, but God is more than any element or any set of such elements.
We may assume that the set of God consists of the elements, God Itself, Spirit and Christ Jesus, but this set cannot define God, since God is almighty, so that God cannot be put a restriction on. By allocating any elements to the set God, we are putting a restriction on God, which cannot be accepted due to God's essence.
If we define God as the set consisting of all the sets in this universe, this definition is still too insufficient to characterize God, since God is more than any set thinkable and imaginable in this universe.
For example, God may include the set consisting of all the thinkable sets in this universe but God may also include everything that is not included in any sets. Especially, God can be simultaneously a set A and other set denying the set A. God is above the set theory. If God is a set, it must have an element A and another element non-A at the same time. And the set must satisfy all mathematically incompatible features. For example, if God is a set A, God must be also a set non-A.
God is more than mathematics; accordingly, God is more than the Holy Trinity.
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Mat 4:25 And there followed him great multitudes of people from Galilee, and from Decapolis, and from Jerusalem, and from Judaea, and from beyond Jordan.