“And Jesus answered him, "Blessed are you, Simon Bar-Jona! For flesh and blood has not revealed this to you, but my Father who is in heaven. … And Peter took him and began to rebuke him, saying, "God forbid, Lord! This shall never happen to you." But he turned and said to Peter, "Get behind me, Satan! You are a hindrance to me; for you are not on the side of God, but of men."”
Short answer
The Church does not teach that the Pope is sinless, or that his opinions and his conduct are free from error. The First Vatican Council defined that he is kept from error when he speaks ex cathedra, that is, when as shepherd and teacher of all Christians he defines a doctrine of faith or morals to be held by the whole Church. The same council says this help is given to guard the faith handed on by the apostles, not to make known new doctrine. Tertullian and Augustine already read Paul's rebuke at Antioch as a correction of Peter's conduct and not of his teaching.
Drafted from primary sources. Every quotation is checked against the page it links to.
Where this teaching appears on the Offshoots timelines: 1895, Papal infallibility rejected.
15 quotations in date order
“Simon, Simon, behold, Satan demanded to have you, that he might sift you like wheat, but I have prayed for you that your faith may not fail; and when you have turned again, strengthen your brethren.”
“When the Spirit of truth comes, he will guide you into all the truth; for he will not speak on his own authority, but whatever he hears he will speak, and he will declare to you the things that are to come.”
“For it has seemed good to the Holy Spirit and to us to lay upon you no greater burden than these necessary things”
“But when Cephas came to Antioch I opposed him to his face, because he stood condemned. For before certain men came from James, he ate with the Gentiles; but when they came he drew back and separated himself, fearing the circumcision party.”
“Forasmuch, then, as Peter was rebuked because, after he had lived with the Gentiles, he proceeded to separate himself from their company out of respect for persons, the fault surely was one of conversation, not of preaching.”
“For we do not deny that Peter was already of the same opinion in regard to this question as Paul himself was. Paul, therefore, was not teaching Peter what was the truth concerning that matter, but was reproving his dissimulation as a thing by which the Gentiles were compelled to act as Jews did”
“After the reading of the foregoing epistle, the most reverend bishops cried out: This is the faith of the fathers, this is the faith of the Apostles. So we all believe, thus the orthodox believe. Anathema to him who does not thus believe. Peter has spoken thus through Leo. So taught the Apostles. Piously and truly did Leo teach, so taught Cyril.”
“…the Apostolic Church of Christ, has both in prosperity and in adversity always held and defended with energy; which, it will be proved, by the grace of Almighty God, has never erred from the path of the apostolic tradition, … and remains undefiled unto the end, according to the divine promise of the Lord and Saviour himself, which he uttered in the holy Gospels to the prince of his disciples: saying, Peter, Peter, behold, Satan has desired to have you, that he might sift you as wheat; but I have prayed for you, that (your) faith fail not. And when you are converted, strengthen your brethren.”
“Consequently to publish a new edition of the symbol belongs to that authority which is empowered to decide matters of faith finally, so that they may be held by all with unshaken faith. Now this belongs to the authority of the Sovereign Pontiff, … The reason of this is that there should be but one faith of the whole Church, … and this could not be secured unless any question of faith that may arise be decided by him who presides over the whole Church, so that the whole Church may hold firmly to his decision.”
“It must be observed, however, that if the faith were endangered, a subject ought to rebuke his prelate even publicly. Hence Paul, who was Peter's subject, rebuked him in public, on account of the imminent danger of scandal concerning faith, and, as the gloss of Augustine says on Galatians 2:11, "Peter gave an example to superiors, that if at any time they should happen to stray from the straight path, they should not disdain to be reproved by their subjects."”
“For the holy Spirit was promised to the successors of Peter not so that they might, by his revelation, make known some new doctrine, but that, by his assistance, they might religiously guard and faithfully expound the revelation or deposit of faith transmitted by the apostles.”
“…we teach and define as a divinely revealed dogma that when the Roman pontiff speaks EX CATHEDRA, that is, when, in the exercise of his office as shepherd and teacher of all Christians, in virtue of his supreme apostolic authority, he defines a doctrine concerning faith or morals to be held by the whole church, he possesses, by the divine assistance promised to him in blessed Peter, that infallibility which the divine Redeemer willed his church to enjoy in defining doctrine concerning faith or morals. Therefore, such definitions of the Roman pontiff are of themselves, and not by the consent of the church, irreformable.”
“And this infallibility with which the Divine Redeemer willed His Church to be endowed in defining doctrine of faith and morals, extends as far as the deposit of Revelation extends, which must be religiously guarded and faithfully expounded. … For then the Roman Pontiff is not pronouncing judgment as a private person, but as the supreme teacher of the universal Church, in whom the charism of infallibility of the Church itself is individually present, he is expounding or defending a doctrine of Catholic faith.”
“"The Roman Pontiff, head of the college of bishops, enjoys this infallibility in virtue of his office, when, as supreme pastor and teacher of all the faithful - who confirms his brethren in the faith he proclaims by a definitive act a doctrine pertaining to faith or morals.... the infallibility promised to the Church is also present in the body of bishops when, together with Peter's successor, they exercise the supreme Magisterium," above all in an Ecumenical Council. … This infallibility extends as far as the deposit of divine Revelation itself.”