I came across this Wikipedia article that seems to have some pretty strong arguments against Papal Supremacy. Can someone clarify these and debunk them?
Rome is an Apostolic throne, not the Apostolic throne. Augustine too is misquoted on the same point of grammar …“because he saw himself united by letters of communion both to the Roman Church, in which the supremacy of an apostolic chair has always flourished” - Augustine
John Chrysostom referred to Ignatius of Antioch as a “teacher equivalent to Peter”
Faced with exile, John Chrysostom, the Archbishop of Constantinople, wrote an appeal for help to three Western churchmen. While one of these was the bishop of Rome, had Rome exercised primacy at that time, he would not have written to the other two bishops.
Cases which had been decided by Rome were appealed to bishops in other metropolitan areas.
Cases which had been decided by Rome were appealed to synods of bishops in other metropolitan areas.
A general council may overrule decisions of the Roman Pontiff
Decisions taken by popes in cases involving against bishops have often been confirmed by ecumenical councils. This indicates that the papal decision itself is not considered binding
The Third Ecumenical Council called Nestorius to account for his teachings following his condemnation as a heretic by Pope Celestine I. The council did not consider the papal condemnation as definitive. Catholic theologian Jacques-Bénigne Bossuet noted
It was fixed that all was in suspense once the authoritry of the universal Synod was invokved even though the sentence of the Roman Pontiff about doctrine and about persons accused of heresy had been uttered and promulgated.
A controversy arose out of the writings known as Three Chapters – written by bishops Theodore, Theodoret, and Ibas. Pope Vigilius opposed the condemnation of the Three Chapters. At the Fifth Ecumenical Council (553) the assembled bishops condemned and anathematized Three Chapters. After the council threatened to excommunicate him and remove him from office, Vigilius changed his mind – blaming the devil for misleading him…German theologian Karl Josef von Hefele notes that the council was called “without the assent of the Pope”