The Father is greater only in the sense that He is the head or gives commands. In every other way, the Word (Jesus Christ) and the Holy Ghost are equally eternal, full of power and glory, omnipotent, omnipresent, omniscient, and in every other way equal to the Father. In fact, the Bible states that Jesus Christ is the Creator of the universe.
By analogy, the Bible states that the husband is to be the head of the wife, though this certainly does not mean that the husband is intrinsically better or more worthy. It just means that someone must take charge if things are to be orderly.
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