“Infallible” is not a difficult to understand word, it means not subject to failure or error.
The “problematic” part seems to be in redefining the word to make it rubbery enough to find an example of any Pope making an “infallible” statement.
There’s is where you err — **on any statement.**
A Pope is not impeccable — he is human and makes personal mistakes.
The infalibility only comes into play on announcements of faith and morals, either alone or with the Magisterium.
You’re right, it is greatly misunderstood.
Only on matters of faith and morals — OK?
Another term used here is “ex cathedra”
from the chair of Peter
“Infallibility” is not limited to the pope, but extends to ecumenical councils when fulfilling the criteria for such, with papal infallibility being able to provide assurance that such were infallible (though RCs cannot know how many infallible decrees there are, which should be necessary to give the required assent of faith, and must seek to make sure they understand them rightly).
What Rome has done is “infallibly” declare that she is and will be perpetually infallible whenever she speaks in accordance with her infallibly defined (scope and subject-based) formula, which renders her declaration that she is infallible, to be infallible, as well as all else she accordingly declares.
She may invoke Scriptures to support this, but assurance of the veracity of her doctrines is not dependent upon the exegetical weight of Scriptural warrant, and interpretations only have weight if she sanctions them, but it rests upon the premise of her self-proclaimed assured infallibility.
And no one can argue with that.
As the article explains, the person who is Pope is not infallible, neither is his talks on common matters, neither except for a specific pronouncement ex-cathedra, are his teachings. Only specific, let’s call it deadlock breaker statements pronounced ex-cathedra are infallible., thanks purely and solely to the grace of God who takes care of His Church and not due to any innate ability of the person who occupies St. Peter’s chair — in fact it would be despite the innate fallibility of the person who occupies Peter’s chair