'The [Chalcedonian] Creed accepted the Alaexandrian view that Christ was one single Person, and ir implied(if it did nor explicitly state) that this Person was "the only-begotten, God the Logos." It also affirmed the Alexandrian belief that the divine Son went through all the human experiences of Jesus Christ, so that it was proper to say that God the Son was born of Mary.........But the Creed also accepted the Antiochene view that Christ's human and divine natures each kept their own distinctive qualities and properties, Christ's humanity was as real and complete as ours; it was not swallowed up or absorbed by His deity. Christ had two complete and distinct natures, fully and truly human, fully and truly divine. Finally, the Creed made it clear that
physis and
hypostasis were no longer to be understood in the same sense in the doctrine of the incarnation;
physis meant "nature," and
hypostasis meant "person," not "nature." In this way, the unclear language which had confused the whole debate between Alexandria and Antioch was decisively settled. Christ was one
hypostasis in two
physeis-- one person in two natures.
[Prof. N. Needham:
2,000 Years of Christ's Power]
I wonder if
@JonC regards this as a reasonably accurate summary of the Creed of Chalcedon, and, if so, what his objections are to it.