James White summarizes the Christian doctrine of the Trinity this way:
Within the one Being that is God, there exists eternally three coequal and coeternal persons, namely, the Father, the Son, and the Holy Spirit. (The Forgotten Trinity, 26)
He goes on to talk about how important it is that we distinguish Being from person.
Note immediately that we are not saying there are three Beings that are one Being, or three persons that are one person. Such would be self-contradictory. I emphasize this because, most often, this is the misrepresentation of the doctrine that is commonly found in the literature of various religions that deny the Trinity. (27)
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