Not directly on hand but off the dome it seems like the prevailing doctrine of the trinity for example is inherently influenced by other pagan religions in the nearby localities/cultures of Babylon, Egypt, Ancient Greece as well etc. With the triple deity even present in Roman folklore with Diana I believe it’s called? And then when it comes to the nature of Jesus again the prevailing idea of a god man also has inherent pagan roots with that being directly tied to Greco-Roman folklore with demi gods everywhere. That and the fact that the trinity is nowhere to be found in the Bible itself is enough to see how Paul and other early Christians misinterpreted the actual realities of Jesus. I can give you stuff to read up on if I can find it and if you are interested.
You are indeed correct
The idea of a trinitarian System in christianity
Came over 300 years after Jesus's (pbuh) death in what is known as The First Counvil of Nicaea
"
The Christian doctrine of the
Trinity (from the Latin
trinus, meaning "threefold") professes that there is one
God, but three eternal and consubstantial persons (aspects): the Father, the Son, and the Holy Spirit. The Father is the God of
Israel (the creator God of Genesis), the Son is the historical
Jesus of Nazareth, and the Holy Spirit is the presence or spirit of God that binds them together. The word 'trinity' appears nowhere in the
Bible; the concept was finalized at the First Council of Nicaea in 325 CE after years of debate. It was an attempt to articulate
Christianity’s belief in the oneness of God with their claims about
Jesus and their experiences of the spirit."
https://www.worldhistory.org/Trinity/
And if you read further you'll notice that the debate that was meant to settle this was settled through philosophy not the biblic scripture itself
" The debates on the Trinity were quite esoteric and included philosophical ideas of the universe. Was Christ homo-ousios, a being like the Father, or was he homoi-ousios, of the identical essence of the Father"
It wouldn't be wrong to assume that the idea of physically human god like Greeks believed were incorporated into it.
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I always viewed the islamic interpretation as being basically the same as the jewish interpretation. If I'm not wrong, isn't the Torah and Psalms considered holy books by muslims?
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https://en.wikipedia.org/wiki/Islamic_holy_books
They are holy books that we believe were revealed to Moses and David (peace be upon them) but we don't believe their current variations since they have been altered over time.. So we don't take anything from them.