9 How, then, does the Lord lay down His life [soul]? Let us, brethren, inquire into this a little more carefully. The time is not so pressing as is usual on the Lord's day: we have leisure, and theirs will be the profit who have assembled today also to wait on the Word of God. “I lay down my life,” He says. Who lays down? What lays He down? What is Christ? The Word and man. Not man as being flesh alone: but as man consists of flesh and soul, so, in Christ there is a complete humanity.
For He would not have assumed the baser part, and left the better behind, seeing that the soul of man is certainly superior to the body. Since, then, there is entire manhood in Christ, what is Christ? The Word, I repeat, and man. What is the Word and man? The Word, soul, and flesh. Keep hold of that, for there has been no lack of heretics on this point also, expelled as they were some time ago from the catholic truth, but still persisting, like thieves and robbers who enter not by the door, to lay their snares around the fold.
These heretics are termed Apollinarians, and have ventured to assert dogmatically that Christ is only the word and flesh, and contend that He did not assume a human soul. And yet some of them could not deny that there was a soul in Christ. See their intolerable absurdity and madness. They would have Him to possess an irrational soul, but deny Him a rational one. They allowed Him a mere animal, they deprived Him of a human, soul. But they took away Christ's reason by losing their own.
Let it be otherwise with us, who have been nourished and established in the catholic faith. Accordingly, on this occasion I would remind your Charity, that, as in former lectures, we have given you sufficient instruction against the Sabellians and Arians—the Sabellians, who say, The Father is the same as the Son— the Arians, who say, The Father is one being, the Son is another, as if the Father and Son were not of the same substance— and also, provided you remember as you ought, against the Photinian heretics, who have asserted that Christ was mere man, and destitute of Godhead: and against the Manicheans, who maintain that He was God only without any true humanity: we may, on this occasion, in speaking about the soul, give you some instruction also in opposition to the Apollinarians, who say that our Lord Jesus Christ had no human soul, that is, a rational intelligent soul—that soul, I mean, by which, as men, we differ from the brutes.
Source: Tractates on the Gospel of John (New Advent)