I have been engaged on some other Catholic blogs and I have heard that the Church has only defined two doctrines infallibly: The Immaculate Conception and The Assumption.
Then, at a class I took at my parish, taught by a candidate for the diaconate, based on his diocesan education, he reiterated that those were the only two infalible teachings of the Church.
I was under the impression that things like councils, and encyclicals were infallible when they taught on faith and morals. The debate that first started this was women’s ordination, which I thought had been closed infallibly. I don’t want to get into that specific subject, but I need to know if those are the only two infallible doctrines of the Church and how close to certain the other theologically defined doctrines are?