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By definition, all of them.
There are no infallible popes. However the Sacred Magisterium a special teaching body of the Catholic Church is kept infallible in its doctrinal pronouncations through the power of the Holy Spirit. Note that the Ordinary Magisterium is fallible.
circa 1412, from Middle Latin in+ "not" + fallibilis "liable to err, deceitful." From 1870, as in reference to Popes.
Encyclicals are not considered infallible teachings by the Catholic Church. They are authoritative documents written by the Pope to address specific issues, but they are not considered infallible statements of doctrine.
Ex cathedra statements hold special significance in a list of authoritative pronouncements made by a religious leader because they are considered infallible teachings on matters of faith and morals. These statements are made by the leader speaking "from the chair" of authority, indicating that they are speaking with the full authority of their position.
The only thing that we know of that is defined as infallible is the Pope, he is infallible (preserved from error) when teaching to the entire Church on matters of faith and morals. In this light, the Catechism of the Council of Trent would indeed be considered infallible as it was the teaching of several Popes. However, it is not considered inerrant in the way the Bible is.
No, popes are only infallible when speaking ex cathedra on matters of faith and morals. In all other matters they are no different from any other human.
Ex cathedra statements are rare declarations made by the Pope on matters of faith and morals that are considered infallible. One famous example is the doctrine of the Immaculate Conception, declared by Pope Pius IX in 1854. Another example is the doctrine of the Assumption of Mary, declared by Pope Pius XII in 1950. These statements are considered binding for all Catholics.
Twice - the declaration of the Immaculate Conception and the declaration of the Assumption. Also, each time a pope declares a saint it is considered infallible.
Ex cathedra statements hold significant authority in religious doctrine as they are considered infallible teachings made by the Pope on matters of faith and morals. This means that these statements are believed to be without error and must be accepted by all members of the faith. They play a crucial role in shaping and defining the beliefs and practices of the religion.
Throughout history, popes have made notable predictions such as the prophecies of St. Malachy, who predicted the future popes of the Catholic Church, and the predictions of Pope John XXIII about the Second Vatican Council. Additionally, some popes have made predictions about the end times and the future of the Church.
In is the prefix for infallible.
Since the Pope believes his pronouncements are infallible, that means they must be right and true, so they can't be wrong, so therefore there will be no dissent and there will be unquestioning obedience no matter what. From the Popes' point of view, he is the feudal lord of the manor, and everyone else are serfs.
I am always right, I am infallible.