Let me start out by explaining the Christian trinitarian version of God. This model is said to be monotheistic which is to say that it is based on one and only one God existing. Nevertheless, this one God is made up of three "persons" including the Father, the Son (Jesus Christ), and the Holy Ghost. Each of these persons are distinct agents having their own unique wills, thoughts, and deeds. So the Father is not the Son, the Father is not the Holy Ghost, and the Son is not the Holy Ghost. Despite these persons being distinct, each one of them is "fully God," and therefore each completely encompasses the one God.
Now, in logic there is a very important principle which can be called the Transitive Property of Equivalence. This principle states that
if A is B, and B is C, then A is C.
For example, if Ed is Ted, and Ted is Theodore, then Ed is Theodore. In the trinitarian model of God, the Son is God, God is the Father, but the Son is not the Father! Similarly, the Holy Ghost is God, God is the Son, but the Holy Ghost is not the Son. So the trinitarian model of God is logically fallacious because it violates the Transitive Property of Equivalence.
One way for Christians to resolve this issue is to avow that the Father, Son, and Holy Ghost are actually three separate Gods. Christianity resembles so closely polytheism that recognizing the trinity as three Gods wouldn't make much difference to Christian theology anyway. Besides, a polytheistic model of the trinity like I said resolves the logical fallacy in the dogma of the trinity.
Now, in logic there is a very important principle which can be called the Transitive Property of Equivalence. This principle states that
if A is B, and B is C, then A is C.
For example, if Ed is Ted, and Ted is Theodore, then Ed is Theodore. In the trinitarian model of God, the Son is God, God is the Father, but the Son is not the Father! Similarly, the Holy Ghost is God, God is the Son, but the Holy Ghost is not the Son. So the trinitarian model of God is logically fallacious because it violates the Transitive Property of Equivalence.
One way for Christians to resolve this issue is to avow that the Father, Son, and Holy Ghost are actually three separate Gods. Christianity resembles so closely polytheism that recognizing the trinity as three Gods wouldn't make much difference to Christian theology anyway. Besides, a polytheistic model of the trinity like I said resolves the logical fallacy in the dogma of the trinity.