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A few years back I came to the conclusion that the holy trinity in Christianity are three levels of abstraction: the son => God walks on earth and tangible, the father => God in heaven untangible but still reachable by speech, holy spirit => God in who knows where.
Then I thought that as a way of imparting the thought that any level of abstraction of the universe would also be inhabitated by God, those which we can sense, and those where our senses can't reach. The idea that omniprescense is not only limited to our dimension.
I'm not sure if that is the original meaning but is a way of seeing it that I can relate to, since I've always been akeen to a more abstract idea of God, and not so much to a figure that praises itself of thought, which is a human attribute.
As far as I can tell, the doctrine of the trinity served political rather than logical purposes back when it was put in writing in late antiquity, and since then it's just been the doctrine. If you want to believe, you just have to believe and not think about it too hard, like the video says.