Why is no one dealing with the fact that the earliest support for a continuous line of bishops comes from Peter and Paul. There is not an individual key given here. Its plain as day. The early church considered their primary leaders to be two men; Paul and Peter. No Pope. Clement never mentions it. Ignatius never mentions it. Irenaeus believes in the authority of the Roman church as coming from two men. Two men. Only later on do we see Paul dropped in favor of just Peter.
The early Church did not look to Peter and Paul as equals in terms of headship of the Church, and you are simply trying to read this back into history in order to justify your separation from the Church led by the successor of Peter.
In the Apostolic era, the Apostles enjoyed universal jurisdiction, but none of them doubted that Peter alone was the head of the Church. Jesus gave the keys to Peter alone. Jesus told Peter to feed and tend His flock.
Sure, Paul was a leader of the Church and he exercised a lot of personal authority. But even Paul submitted his gospel for approval to Peter, and went with Barnabas to Jerusalem for a ruling in a matter that he apparently was unable to resolve on the basis of his own authority.
Each of the churches in scripture (we would call them dioceses today), was led by a Bishop and possibly more than one. This should not surprise us since the Church was in transition from leadership of the Apostles to the leadership of the successors of the Apostles, the Bishops.
The term “pope” developed later as a way of referring to the Bishop of Rome as head of the universal Church, but the office to which the word “pope” is attached existed from the moment Jesus established it and placed Peter in the position.
Did the other ECF’s use the word “pope”? Of course not, and we should not expect this anachronism. However, they understood the role of the head of the Church.
Here are some of their thoughts:
Clement
“Through countryside and city [the apostles] preached, and they appointed their earliest converts, testing them by the Spirit, to be the bishops and deacons of future believers. Nor was this a novelty, for bishops and deacons had been written about a long time earlier. . . . Our apostles knew through our Lord Jesus Christ that there would be strife for the office of bishop. For this reason, therefore, having received perfect foreknowledge, they appointed those who have already been mentioned and afterwards added the further provision that, if they should die, other approved men should succeed to their ministry” (*Letter to the Corinthians *42:4–5, 44:1–3 [A.D. 80]).
“We are of opinion, therefore, that those appointed by them,
or afterwards by other eminent men, with the consent of the whole church, and who have blamelessly served the flock of Christ, in a humble, peaceable, and disinterested spirit, and have for a long time possessed the good opinion of all, cannot be justly dismissed from the ministry. (
ibid.)
Hegesippus
“When I had come to Rome, I [visited] Anicetus, whose deacon was Eleutherus. And after Anicetus [died], Soter succeeded, and after him Eleutherus. In each succession and in each city there is a continuance of that which is proclaimed by the law, the prophets, and the Lord” (
Memoirs, cited in Eusebius, *Ecclesiastical History *4:22 [A.D. 180]).
Irenaeus
"
1It is possible, then, for everyone in every church, who may wish to know the truth, to contemplate the tradition of the apostles which has been made known to us throughout the whole world. And we are in a position to enumerate those who were instituted bishops by the apostles and their successors down to our own times, men who neither knew nor taught anything like what these heretics rave about.
"
2But since it would be too long to enumerate in such a volume as this the successions of all the churches, we shall confound all those who, in whatever manner, whether through self-satisfaction or vainglory, or through blindness and wicked opinion, assemble other than where it is proper, by pointing out here the successions of the bishops of the greatest and most ancient church known to all, founded and organized at Rome by the two most glorious apostles, Peter and Paul—that church which has the tradition and the faith with which comes down to us after having been announced to men by the apostles. For with this Church, because of its superior origin, all churches must agree, that is, all the faithful in the whole world. And it is in her that the faithful everywhere have maintained the apostolic tradition.
"
3The blessed apostles [Peter and Paul], having founded and built up the church [of Rome], they handed over the office of the episcopate to Linus. Paul makes mention of this Linus in the epistle to Timothy [2 Tim. 4:21]. To him succeeded Anencletus, and after him, in the third place from the apostles, Clement was chosen for the episcopate. He had seen the blessed apostles and was acquainted with them. It might be said that he still heard the echoes of the preaching of the apostles and had their traditions before his eyes. And not only he, for there were many still remaining who had been instructed by the apostles. In the time of Clement, no small dissension having arisen among the brethren in Corinth, the Church in Rome sent a very strong letter to the Corinthians, exhorting them to peace and renewing their faith. . . To this Clement, Evaristus succeeded. . . and now, in the twelfth place after the apostles, the lot of the episcopate [of Rome] has fallen to Eleutherus. In this order, and by the teaching of the apostles handed down in the Church, the preaching of the truth has come down to us.
“
4Polycarp also was not only instructed by apostles, and conversed with many who had seen Christ, but was also, by apostles in Asia, appointed bishop of the church in Smyrna, whom I also saw in my early youth, for he tarried [on earth] a very long time, and, when a very old man, gloriously and most nobly suffering martyrdom, departed this life, having always taught the things which he had learned from the apostles, and which the Church has handed down, and which alone are true. To these things all the Asiatic churches testify, as do also those men who have succeeded Polycarp down to the present time” (*Against Heresies *3:3:1-4 [A.D. 189])…