the Church must have authority over vitually everything. This wide reaching authority is completely consistent with her mission.
And you asked:
However, how would you respond to David’s assertions below your’s?
As I wrote: “It does not mean that he can teach what he likes, or that he cannot go wrong on matters of science, or history, or economics or politics. It means only that God will not permit him to define officially for the whole Church any religious doctrine opposed to the teaching of Christ.”
Now that part of my statement is actually from the answers by Fathers Rumble and Carty to very many questions – have a look:
Topic: “The Pope infallible” in Vol 4.
289. Will you tell us exactly in what sense you claim infallibility for -the Pope?
“We claim that the Pope is infallible only in his official capacity when declaring a truth essentially connected with divinely revealed religion, and intending his decision to be binding upon all members of the Church throughout the world. He is not infallible in his private capacity. So infallibility does not mean that he cannot be mistaken when not acting officially as supreme teacher in the Church. It does not mean that the Pope could not commit sin in his personal life, as though he were impeccable. It does not mean that he can teach what he likes, or that he cannot go wrong on matters of science, or history, or economics or politics. It means only that God will not permit him to define officially for the whole Church any religious doctrine opposed to the teaching of Christ. For the Christian religion must be preserved intact in this world.”
There is much on papal infallibility at that site, including:
Topic: “Papal Supremacy” in Vol 3.
“But the gift of infallibility does not extend to matters of practical administration. And Popes have undoubtedly been guilty of imprudence in such matters. The Church, however, being indefectible in virtue of Christ’s promise to be with her all days till the end of the world, has survived all such mistakes in management and policy on the part of the Popes.”
So you may find much of value there.