No, not when so many view the Trinity as three separate, unique personalities. Augustine had real problems with the Trinity. Either the distinctions between the members were so emphasized that there appeared to be three gods, or they were described as so alike that you couldn't tell them apart. The problem is that Augustine went on an arithmetic sense of oneness, one meaning all alike. He did not use an organic sense of unity, where there are multiple parts, internal complexity. He was committed to the notion that God is a monad, a wholly simple, immutable, nonrelational being.I think we largely agree, though I think mainstream theology, at least in the West, managed to avoid tritheism. At least if you think of things in their terms. I think Augustine's vision of the Trinity manages to have a distinction without tritheism.
If you thought of God differently, as an organic unity, then you might come up with a very different Trinity. You would have no trouble seeing God as a synthesis of personalities. God is the eminently sensitive one, empathizes with all creaturely feeling, and therefore is a synthesis of all personalities. If you want to consider the Father, Son, And Holy Spirit as three personalities, you could then say they constitute a kind of group mind, a meta-personality, which is the one God.
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