None that the Holy Catholic Church hasn't answered.
Do you mean like --- the difference between taking dictation, being inspired, or by other less narrowly defined processes being led to infallibility? (sometimes -- by majority vote)
But that "infallibility" --only for the Latin branch of the church nowadays of course, according to the Latin church that is...
Stuff like that? Well then me too, me too, "they" have taught me all I know about "them" and theology too --- well -- other than that which can be gained in this day and age we live in, since we have better access to pertinent info studying such as history, and very importantly also the writings of those many refer to as "early church fathers" and the like, and scripture too -- which when all falls into fit together well enough, tells of theological precepts somewhat differently (and notably so) then this "Holy Catholic church" which you speak of --- which I must assume that church to be to yourself --- the Latin branch of the universal church which has as it's topmost administrative personage one titled or called "pope"? That one -- right?
Do you recall those "tangles" I was just speaking about?
Those are very much the work of persons from within the [Roman] Catholic church. Other theological tangles from outside that ecclesiastical body --- those not so much the fault of any of the Latin branch of "the church", but instead are the fault of one's which could be looked upon as theological free-booters.
When time comes to unravel those of the Latin church --- I can help, for I do know the ropes, so to speak.
Ask any question you like. But please, be a sincere seeker when you do ask.