Papal infallibilityPapal infallibility is a dogma of the Catholic Church which states that, in virtue of the promise of Jesus to Peter, the Pope when he speaks ex cathedra is preserved from the possibility of error on doctrine "initially given to the apostolic Church and handed down in Scripture and tradition". It does not mean that the pope cannot sin or otherwise err in most situations. This doctrine, defined dogmatically at the First Vatican Council of 1869–1870 in the document Pastor aeternus, is claimed to have existed in medieval theology and to have been the majority opinion at the time of the Counter-Reformation.
UltramontanismUltramontanism is a clerical political conception within the Catholic Church that places strong emphasis on the prerogatives and powers of the Pope. It contrasts with Gallicanism, the belief that popular civil authority—often represented by the monarch's or state's authority—over the Church is comparable to that of the Pope. The term descends from the Middle Ages, when a non-Italian pope was said to be papa ultramontano – a pope from beyond the mountains (the Alps).
Papal primacyPapal primacy, also known as the primacy of the bishop of Rome, is a ecclesiological doctrine in the Catholic Church concerning the respect and authority that is due to the pope from other bishops and their episcopal sees. While the doctrine is accepted at a fundamental level by both the Catholic Church and Eastern Orthodox Church, the two disagree on the nature of primacy. English academic and Catholic priest Aidan Nichols wrote that "at root, only one issue of substance divides the Eastern Orthodox and the Catholic Churches, and that is the issue of the primacy.
Papal supremacyPapal supremacy is the doctrine of the Catholic Church that the Pope, by reason of his office as Vicar of Christ, the visible source and foundation of the unity both of the bishops and of the whole company of the faithful, and as pastor of the entire Catholic Church, has full, supreme, and universal power over the whole church, a power which he can always exercise unhindered: that, in brief, "the Pope enjoys, by divine institution, supreme, full, immediate, and universal power in the care of souls.