Yes, the words "holy" and "spirit" sometimes refers to God, in which case it is Capitalized. Other times it refers to the gift God first gave to the apostles on the day of Pentecost, and which all Christians receive at the new birth.
In those case, it should not be capitalized. There is the giver, Holy Spirit (God) and there is the gift, holy spirit. Context usually makes it clear.
I wouldn't use the term logical to describe the trinity. It is quite illogical.
Well, I'm afraid there is circular reasoning in your premise. If God is God's God and that God has a God then the God who is God's God also has a God. Of course the God of God of God would also have a God........
no end in sight.
On the other hand,
it makes perfect sense that Jesus is not God (he is actually called the son of God) and therefore it is quite simple for him to have a God as well as a Father. His statement, "your God and my God" is quite simple. We both have the same God.
John 17:21-22,
21 That they all may be one; as thou, Father, [art] in me, and I in thee, that they also may be one in us: that the world may believe that thou hast sent me.
22 And the glory which thou gavest me I have given them; that they may be one, even as we are one:
Jesus want us to be one with he and his Father. Does that make us him and/or his Father?
1Cor 3:6-8,
6 I (Paul) have planted, Apollos watered; but God gave the increase.
7 So then neither is he that planteth any thing, neither he that watereth; but God that giveth the increase.
8 Now he that planteth and he that watereth are one: and every man shall receive his own reward according to his own labour.
Is Paul and Apollos actually one and the same person?
When we let the scriptures define itself, we see that being one with someone doesn't mean the two or more persons are literally one and the same person. It appears to mean the two or more people are united in purpose and goals. If, on the other hand, we let tradition be the guide, then we must explain why in some cases being one means two or more are literally one, but in other cases being one means something else.
Have you never heard or read that a group of people or animals acted as one? It's a common idiom that has been used for millennia to describe a group acting as one to accomplish a goal or purpose. It's not uncommon, and we all know what it means. Of course, because of long standing biases, when it comes to God and Jesus, we throw out the usual meaning and take it in a completely different way,
a way that defies all logic and common sense.