And Clement goes on …
“So then those who offer their oblations (i.e., Sacrifices) at the appointed times are acceptable and blessed, but they follow the laws of the Master and do not sin.”
He then draws a direct parallel between the Jewish priestly offices of the Temple and that of the Christian priesthood, writing …
“For to the high priest (e.g. the bishop) his proper ministrations are allotted, and to the priests (e.g. the presbyters/priests) the proper place has been appointed, and on the Levites (e.g. the deacons) their proper services have been imposed. The layman is bound by the ordinances for the laity. …Our sin will not be small if we eject from the episcopate those who blamelessly and holily have offered its Sacrifices.”
Again, Clement shares ORAL Apostolic Traditions with us here; and these Traditions are the ancient faith of the CATHOLIC Church.
"So, because this letter, a very long letter to be sure, never mentions a Papacy. This is your strongest extrabiblical argument from the 1st century? The fact that Clement wrote a letter?? >>>>
No, our evidence is that Clement wrote a letter IN THE NAME of the church of Rome; and he wrote this letter IN RESPONSE to an APPEAL to Rome (as an AUTHORITY) on behalf of the church of Corinth. Read the very opening of the Epistle, which says …
“Owing, dear brethren, to the sudden and successive calamitous events which have happened to ourselves, we feel that we have been somewhat tardy in
turning our attention to the points respecting which
YOU CONSULTED US and especially to that shameful and detestable sedition, utterly abhorrent to the elect of God, which a few rash and self-confident persons have kindled to such a pitch of frenzy, that your venerable and illustrious name, worthy to be
universally loved, has suffered grievous injury.” (1 Clement Chapt. 1)
Notice that it was
the Corinthians* who appealed to Rome. …Just as the early church of Antioch appealed to the Apostles at Jerusalem for a solution to their problems in Acts 15:2. But, why so in this case, since there were no living Apostles in Rome? …And since the churches of both Corinth and Rome were founded by Peter and Paul? Wouldn’t that make them “equal”? Evidently not.
Also, please note that 1 Clement to the Corinthians was written at a time when the Apostle John was
still alive and presiding as bishop in nearby Ephesus --a city that was much closer to Corinth than Rome was. So, why did the Corinthians consult far-off Rome when St. John, or his representatives, were in Ephesus, just across the Aegean? And, indeed, the church of Corinth had precident for consulting the church of Ephesus, since it had already done so when St. Paul presided there: 1 Corinth 7:1, 1 Corinth 16:8 & 16:19.
So, what was so special about Rome that the Corinthians had to appeal to the Romans? It is clear from the context of 1 Clement that the Corinthian problem would not be solved until Rome gave its response (e.g. Jerusalem in Acts 15).
Clement also speaks of Rome’s “turning its attention” to the problems of Corinth, thus implying that Rome routinely instructed the other churches. Clement also praises the faith of the Corinthian church in a
universal context --a context that could be invoked only if Rome had universal jurisdiction. Once again, he writes …
“…your venerable and illustrious name, worthy to be
universally loved, has suffered grievous injury.”
As for 1 Clement “not mentioning a Papacy,” why would it need to? When the High Priest of Jerusalem (in Acts 9:1-2) sent Saul with letters to the synagogues in Damascus, do you think those letters had to tell these Damascus Jews what the High Priesthood was or explain to them that Jerusalem held primacy over all the Jews in the world??

If not, then why should you expect to see 1 Clement to the Corinthians recount what the ministry of Peter (then held by Peter’s successor at Rome) was all about?? Your demand is an unreasonable and unrealistic one, and it makes no sense.
When we know that letters from one person to another church were not exclusive to Rome? >>>>
Really? Would you care to show me one example of a church appealing to the authority of another church in the way that the Corinthians appeal to Rome.

1 Clement to the Corinthians is not merely a “friendly letter” as you’d like to depict it; it is a letter written IN RESPONSE TO A DESPERATE APPEAL and it asks for an AUTHORITATIVE SOLUTION to a crisis in Corinth —a crisis in which the laity of Corinth had overthrown and expelled their rightly presbyters --men ordained by the Apostles themselves! And, in writing to these Corinthians, Clement directly issues a COMMAND to them. He writes …