Dogmatic refers to the extreme brand of sedevacantism where the sedevacantist considers all non-sedevacantists to be not Catholic for that reason alone ... i.e. that sedevacantism is a dogma and those who deny it heretics.
Most extreme example is the Dimond Brothers. They consider anyone who believes that the V2 popes are legitimate to be heretics for that reason alone.
Bishop Sanborn wrote an article condemning "opinionism", rejecting the notion that SVism is a mere opinion and implicitly stating that SVism is dogmatic truth. He would fall just a hair short of declaring all non-SVs to be heretics.
Dogmatic SVs, for instance, refuse "communion with" anyone who does not refuse "communion with" the V2 popes ... i.e., suggesting that by being in communion with someone who's in communion with the V2 "popes", they themselves would be in communion with the V2 popes (that this is a transitive relationship).
This is quite misleading and inaccurate, like so many things Ladislaus says. The Dimonds and MHFM do not hold that everyone who believes the Vatican II antipopes are legitimate is, by that fact alone, a heretic. Rather, they hold that those who obstinately accept the Vatican II antipopes (i.e. in the face of the evidence) are heretics. That evidence would include the notorious heresies of the antipopes, the Catholic Church's teaching that heretics are outside the Church, the Church’s teaching that heretics cannot hold office in the Church, the Church's teaching that a Catholic must not profess communion with heretics, etc. Given the availability of information today, how notorious the antipopes’ heresies are (such as Antipope Francis openly agreeing with Martin Luther on Justification, to name just one), and how clear the Church's teaching is on such individuals, people fall into heresy or schism when they obstinately reject the sedevacantist position. This makes perfect sense, of course; for to obstinately hold that Antipope Francis is the pope is to take the position that he professes the true faith, since only those who profess the true faith can be considered to be members of the Catholic Church. But a Catholic is not permitted to hold that a man who agrees with Martin Luther on Justification, who constantly preaches notorious heresies, and who teaches a blatantly false gospel (e.g. that one may commit adultery and receive 'Communion'), professes the true faith. To say that such a man professes the true faith conflates a false religion with the true faith.
That’s why it’s a rejection of Christ and the faith to obstinately hold Francis to be the pope, as these videos show. The same applies the other Vatican II antipopes.
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