There's a lot of fluff in that article. Here are the five quotes it depends on:
1. "We likewise define that full power was given to him in blessed Peter by our Lord Jesus Christ, to feed, rule, and govern the universal Church; just as is contained in the acts of the ecuмenical Councils and in the sacred canons."
(Pope Eugene IV, Council of Florence, Bull Laetentur Coeli; Denz. 694.)
The Council here defines the primacy. The pope has the authority to teach and rule. It doesn't say that it's impossible for him to be in error.
2. "But this likewise must be reckoned amongst the duties of Christians, that they allow themselves to be ruled and directed by the authority and leadership of bishops, and, above all, of the Apostolic See."
(Pope Leo XIII, Encyclical Sapientiae Christianae, nn. 22, 24)
This is a rule, and Leo XIII doesn't have to name the exceptions every time he states a rule. For example, Pascal II ordered the bishops of Germany to surrender all their land to the emperor in 1111. The bishops refused. In 1112 Pascal rescinded the order, congratulated the bishops, and cursed the day he gave the order.
3. "All know to whom the teaching authority of the Church has been given by God: he, then, possesses a perfect right to speak as he wishes and when he thinks it opportune. The duty of others is to hearken to him reverently when he speaks and to carry out what he says."
(Pope Benedict XV, Encyclical Ad Beatissimi Apostolorum, n. 22)
That is another way to formulate the rule Leo XIII was talking about.
4. "Nor must it be thought that what is expounded in Encyclical Letters does not of itself demand consent, since in writing such Letters the Popes do not exercise the supreme power of their Teaching Authority. For these matters are taught with the ordinary teaching authority, of which it is true to say: “He who heareth you, heareth Me” [Lk 10:16]; and generally what is expounded and inculcated in Encyclical Letters already for other reasons appertains to Catholic doctrine."
(Pope Pius XII, Encyclical Humani Generis, nn. 18, 20)
See below.
5. "Hence, even though to someone, certain declarations of the Church may not seem proved by the arguments put forward, his obligation to obey still remains."
(Pope Pius XII, Allocution Magnificate Dominum)
If you contradict the pope, you'd better be quoting a predecessor or a Council. You cannot contradict him simply because you feel his arguments are not convincing.