I'll give you an example of a divine person: God the Father. I'll give you an example of a human person: the apostle Paul.
According to Roman Catholic orthodoxy (note: cite it), is Jesus Christ a human person, a divine person, both, or none?
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According to Chalcedonian Doctrine (that is shared by Eastern Orthodox, Roman Catholics and Protestant churches) Christ is fully God and fully human.
Christ is however one person which is both God and human. He isn't a person of God that dwelled in a separate human person (which is the teaching of nestorianism).
The Oriental Orthodox (e.g. Coptic) churches reject the teaching of Chalcedonian Council, however they mostly declare, they are not monophysitic. The argument here is partly about the meaning of the work 'nature'.
In Chalcedonian Council, a letter from Pope Leo I called "Epistola Dogmatica", was endorsed which explains the mystery of the Incarnation.
Pope declared that :
“after the Incarnation what was proper to each nature and substance in Christ remained intact and both were united in one person, but so that each nature acted according to its own qualities and characteristics.”
Chalcedonian Council, also adopted a document saying:
We teach . . . one and the same Christ, Son, Lord, Only-begotten, known in two natures, without confusion, without change, without division, without separation.
The Catechism of the Roman Catholic Church, 480, states,
Jesus Christ is true God and true man, in the unity of his divine person; for this reason he is the one and only mediator between God and men.
Ergo, the Lord Jesus Christ is a divine person.
There are two issues here, which can unfortunately interact in a confusing way.
Part 1: Christ is one Person. He is fully human. He is also fully divine. That's what it means to have those two natures. So both "divine" and "human" can be correctly used as predicate adjectives describing Christ.
Part 2: Theologians have decided to use only the greater of the two natures, namely the divine, as an attributive adjective for Him. So they call Him a divine person, and they do not call him a human person.
This decision leads to the linguistically strange situation that theologians say that Christ is a person, that Christ is human, but not that Christ is a human person.
My dear friends, the nature of Jesus, the Son of God, the Word that is the beginning of all things that exist and the Word that became "flesh" is 'Divine-Human'. His nature are inseparable. He revealed Himself for us in order for us to see the face of God. Moses saw the back of God, but He is the only-begotten Son who knows the Father and He and the Father is, therefore through Him we have been given the grace to know and see the Father.