I am curious if you would object to any aspect of my original statement. That Christ is both divine and human? Of course He is divine, for “the Word was with God, and the Word was God.” And the Word became human, for “the Word was made flesh.” And this was a full humanity, for as the apostle Paul says, “In all things it behoved him to be made like unto his brethren.” And thus if Christ was like us in all things, He would have had a human body and soul, as we do. And as human nature is self-evidently composite, being made of body and soul, so Christ’s human nature is composite, but His divinity is simple, for if the divinity were divided then there would be a multitude of gods. Christ’s divinity never left the heavens, because if it did, not only would the divinity be divided, with one part in the heavens and one part on earth; but if you say the whole of the divinity left the heavens, then you would be saying that there was an area where God was not, and thus limiting Him. As regards Christ’s ascension, as the evangelist Luke says, “He was parted from them, and carried up into heaven.” His humanity still remains there, and will return at the end of time, because as the angels said at the occasion of His ascension, “this same Jesus, which is taken up from you into heaven, shall so come in like manner as ye have seen Him go into heaven.” And for my statement that only one hypostasis of the Trinity became incarnate, I again appeal to the evangelist John: “the Word was made flesh,” but not the Father nor the Spirit.
Indeed, and from the Orthodox point of view (I am not Catholic, and so only have passing familiarity with their beliefs on this subject), the Bible is also a manifestation of faith, being part of Holy Tradition. As it was once explained to me, the Bible is not revelation, but points to revelation, which is direct experience of Christ. Christ is the foundation of our faith, and scripture, the councils, iconography, hymnography, etc. are manifestations of that faith.
Obviously, the Bible came before Chalcedon, and so the latter must conform to the former in all respects (which it does, as both are part of the same Tradition). Chalcedon was a gathering of the Church, and where the Church is gathered in the Holy Spirit, there can be no error. An early instance of this is described in the 15th chapter of Acts, where the apostles wrote, “For it seemed good to the Holy Ghost, and to us” to set forth matters of doctrine, and to speak for the Church. In like manner are the ecumenical councils.