Believing in a troika of divine beings is as valid as any other religous belief. The catch for Christians: they had inherited the Hebrew Bible with that Shema to deal with:
'Hear, O Israel, the Lord your God, the Lord is one.'
Christians, like Jews, were supposed to be monotheists.
Church leaders resolved the problem by refusing to resolve it. They simply asserted the flat contradiction. 'Three divine beings exist that we recognize as God,' they said, 'but only one God exists.'
The relationship was a mystery for subsequent generations to ponder.
That sounds about right. And , in my opinion , calling something a 'mystery' is admiting it doesn't make any sense what so ever, but we will tell people that anyway.
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