I've often read the Catholic objection to Protestantism in that Protestants rely on their own private interpretation of Scripture which is fallible.
However, don't Catholics (and Orthodox) as well?
Okay, so Catholics obey and believe the Church's teaching, and that it is infallible, but how do they know what "the Church" is, and know that the Church is infallible? How does one identify it with the Roman Catholic Church or Eastern Orthodox Church?
Without descending into a circular argument, does this not require a private interpretation of Scripture and Tradition? Does it not rely on the intellect and one's own interpretative skills?
If so, then what use is the objection against Protestantism on these grounds? If Catholics ultimately rely on private interpretation as well, then where is the issue? It seems as if Catholics and Protestants are at the same level here, both relying on their own interpretative ability.
(Ultimately we rely on the Holy Spirit, I should add, but then there is no real issue as anyone can claim Holy Spirit guidance)
A further point, the objection that Protestantism has led to 30,000 denominations also fails with this point, because Catholics also rely ultimately on private interpretation.