Since a hierarchy requires bishops with ordinary jurisdiction, and since bishop can only receive jurisdiction from the Pope, the only candidate for the Church with four marks is the universal Church based on Rome, which is one and the same institution that existed during the pontificate of Pius XII and the Pontificate of St. Peter.

  You're kidding with the bolded, right?  If Pius XII, or St. Pius X, or St. Pius V had been time-warped to today, they would certainly not recognize the Conciliar Abomination as the Catholic Church, but would think it was some Protestant sect.

There's nothing there but some loose material continuity, but the Conciliar Church is simply unrecognizable as the Catholic Church in its essential characteristics.  All it has is a bunch of guys parading around in a variety of different-colored cassocks.

Thanks. I hope we think alike

If fallible authors conflated the term hierarchy with hierarchs that's no problem for Catholicism, but I don't think they necessarily did.

As a sedevacantist I think you're quite aware that perpetual doesn't mean without interruption;)  If perpetual successors can be interrupted so can perpetual teaching.

You're probably also familiar with the complete destruction of the "perpetual successors" objection:

Jeremiah 33:17 “For this is what the LORD says: David will never fail to have a man sitting on the throne of the house of Israel."

And right after that there was no man on the throne for 500 years until Christ came. Those who entertain the perpetual successors objection might as well call God a liar.

I mean, the objection can be dismissed by simply stating the obvious that perpetual successors in the same primacy just means that all Popes have the same authority as Peter forever. It doesn't mean we can't go a year, two or sixty witout a Pope.

Uggh.  I think the new PaxVobis screen name should be changed.  I keep thinking I'm speaking to the old Pax Vobis.

I asked him kindly to change his username and he kindly sent Matthew a PM.  I think it was just changed today.

I agree.  When he first started posting, I was stunned by some of the things I was hearing from "PaxVobis" (thinking it was the original "Pax Vobis") ... until someone drew my attention to it.

Sorry. It was Constantinople II.

This definitely ends the RnR position.

Pope Vigilius, Second Council of Constantinople, 553:

"... we bear in mind what was promised about the Holy Church and Him who said the gates of hell will not prevail against it (by these we understand the death-dealing tongues of heretics)... ”
Pope St. Leo IX, Sept. 2, 1053:
“The holy Church built upon a rock, that is Christ, and upon Peter… because by the gates of Hell, that is, by the disputations of heretics which lead the vain to destruction, it would never be overcome.”
(Denz. 351)
St. Thomas Aquinas taught the same in his epistle to Pope Urban IV on the publication of the Catena Aurea:
St. Thomas Aquinas: “Thy heart, Most Holy Father, who art lawful heir of this Faith and this Confession, gives watchful care that the light of this so wondrous Wisdom may fill the hearts of the faithful, and put to silence the dread folly of heretics, fittingly referred to as the gates of hell.” (The Sunday Sermons of the Great Fathers, Vol. 1, pp. xxiii, xxiv.)
Along the same lines, though perhaps not quite as precisely, St. Bede the Venerable taught:
St. Bede the Venerable: “And the gates of hell shall not prevail against it. The gates of hell are evil doctrines, which by seducing the unwary drag them down to hell.” (The Sunday Sermons of the Great Fathers, Vol. 3, p. 274.)

Okay, thanks.

You say above that this definitely ends the R&R position. Do you know how many times sedevacantists have made this same proclamation over the years regarding the end of R&R, using various arguments? And yet.....R&R is still going strong. And your definition of the Council and St Thomas seems only to back up R&R, by saying that the heretics will not prevail against the Church. That's something that we already know.

The Catholic Church is still in Rome, and visible, though she is occupied by modernist heretics. I can't see changing my view of this by reason of the quotes from the Council or St. Thomas and other Fathers, though others here may have a different view of the situation.