Good Day,
Historically the best specific understanding of the Christian Faith is given by Augustine, although Ambrose in the wider the context and application is most helpful.
Augustine:
Peter had already said to him, 'You are the Christ, the Son of the living God.' He had already heard, 'Blessed are you, Simon Bar-Jona, because flesh and blood did not reveal it to you, but my Father who is in heaven. And I tell you, that you are Peter, and upon this rock I will build my Church, and the gates of the underworld shall not conquer her' (Mt 16:16-18). Such faith was drowned when the Lord was crucified. Peter, you see, only believed he was the Son of God up to the time he saw him hanging on the tree, the time he saw him fixed there with nails, the time he saw him dead, the time he saw him buried. Then he lost what he held. Where's the rock? Where's the immovable solidity of the rock? Christ himself was the rock, while Peter, Rocky, was only named from the rock. That's why the rock rose again, to make Peter solid and strong; because Peter would have perished, if the rock hadn't lived.
When Christ said, Who do you say that I am? Peter answered, You are the Christ, the Son of the living God. And the Lord said to him: Blessed are you Simon Bar-Jona, because flesh and blood has not revealed it to you, as it has to those who call me a prophet, but my Father, who is in heaven; and I say to you, you are Peter (Mt. 16:15-18). You have said to me, let me say to you; you have made your confession of faith, now hear my blessing.
You see, the Lord had said about himself what was less important, and Peter had told him what was more important. In the Lord Jesus Christ, after all, what was less important was his being the Son of man; what was more important was his being the Son of God. He mentioned the less important thing, because he humbled himself; the one whom he exalted mentioned the more important one. Upon this rock, said the Lord, I will build my Church. Upon this confession, upon this that you said, 'You are the Christ, the Son of the living God,' I will build my Church, and the gates of hell shall not conquer her (Mt. 16:18).
Ambrose
He, then, who before was silent, to teach us that we ought not to repeat the words of the impious, this one, I say, when he heard: 'But who do you say I am,' immediately, not unmindful of his station, exercised his primacy, that is, the primacy of confession, not of honor; the primacy of belief, not of rank...This, then, is Peter who has replied for the rest of the Apostles; rather, before the rest of men. And so he is called the foundation, because he knows how to preserve not only his own but the common foundation. Christ agreed with him; the Father revealed it to him. For he who speaks of the true generation of the Father, received it from the Father, did not receive it from the flesh. Faith, then, is the foundation of the Church, for it was not said of Peter's flesh, but of his faith, that 'the gates of hell shall not prevail against it.' But his confession of faith conquered hell. And this confession did not shut out one heresy, for, since the Church like a good ship is often buffeted by many waves, the foundation of the Church should prevail against all heresies. The day will fail me sooner than the names of heretics and the different sects, yet against all is this general faith-that Christ is the Son of God, and eternal from the Father, and born of the Virgin Mary.
In Him,
Bill