I recommend you read Father John Hardon’s archives instead.
I know of the J.H. archive through
therealpresence.org. Do you have a particular article of his you suggest for me to read? The only pages I see on which he uses the phrase “ordinary magisterium” he’s using the phrase “
universal ordinary magisterium”, which
is infallible. Encyclicals of the Pope, outside of solemn definitions within them, are not part of the
universal ordinary magisterium. In
this document, he’s actually misquoted
Denz. 1792: Fr. John quotes it as “either by a solemn judgment or by her ordinary magisterium”, whereas Denz. 1792 actually reads “either in a solemn pronouncement or in her ordinary
and universal teaching power”. I don’t have access to the Latin original, but I would trust Denz. as being accurate and think Fr. John merely misquoted it (leaving out an important word, though). Canon Law sides with me on this one:
Can. 750 §1. A person must believe with divine and Catholic faith all those things contained in the word of God, written or handed on, that is, in the one deposit of faith entrusted to the Church, and at the same time proposed as divinely revealed
either by the solemn magisterium of the Church or by its ordinary and universal magisterium which is manifested by the common adherence of the Christian faithful under the leadership of the sacred magisterium; therefore all are bound to avoid any doctrines whatsoever contrary to them.
§2. Each and every thing which is
proposed definitively by the magisterium of the Church concerning the doctrine of faith and morals, that is, each and every thing which is required to safeguard reverently and to expound faithfully the same deposit of faith, is also to be
firmly embraced and retained; therefore, one who rejects those propositions which are to be held definitively is opposed to the doctrine of the Catholic Church.
Those two cover things which require the “assent of faith”. But then Canon Law goes on:
Can. 752
Although not an assent of faith, a religious submission of the intellect and will must be given to a doctrine which the Supreme Pontiff or the college of bishops declares concerning faith or morals when they exercise the
authentic magisterium, even if they do not intend to proclaim it by definitive act; therefore, the Christian faithful are to take care to avoid those things which do not agree with it.
Can. 753 Although the bishops who are in communion with the head and members of the college, whether individually or joined together in conferences of bishops or in particular councils, do not possess infallibility in teaching, they are authentic teachers and instructors of the faith for the Christian faithful entrusted to their care; the Christian faithful are bound to
adhere with religious submission of mind to the authentic magisterium of their bishops.
And
Lumen Gentium, n. 25, says as much:
In matters of faith and morals, the bishops speak in the name of Christ and the faithful are to
accept their teaching and adhere to it with a religious assent. This
religious submission of mind and will must be shown in a special way to the
authentic magisterium of the Roman Pontiff,
even when he is not speaking ex cathedra; that is, it must be shown in such a way that his supreme magisterium is acknowledged with reverence, the judgments made by him are sincerely adhered to, according to his manifest mind and will. His mind and will in the matter may be known either from the character of the documents, from his frequent repetition of the same doctrine, or from his manner of speaking.
The phrase “religious assent” and “religious submission of mind/intellect and will” is used INSTEAD OF “assent of faith”, “definitive”, “held definitively” for a reason:
these teachings are not infallible.
Finally, see
this document (DOCTRINAL COMMENTARY ON THE CONCLUDING FORMULA OF THE
PROFESSIO FIDEI, Congregation for the Doctrine of the Faith), especially paragraph 10.
The
non-universal ordinary magisterium of the Church is
non-infallible. It requires assent of mind and will, not of faith.