This does not mean that the infallibility of the Council is nothing more than a way for the Pope to exercise his individual infallibility.

That's exactly what it means.  No one is infallible, save the pope.  A council is ONLY infallible because the pope exercises his infallibility through it.  The council fathers help to write texts and formulate teachings, but the pope is the one who decides and pronounces the infallible formula.
.
A council can also be infallible outside of a solemn definition...ONLY when they are re-teaching "that which has always been taught" (i.e. confirming Tradition).  A council or a pope cannot define doctrine or teach something new, without a solemn definition.
.
The ordinary/universal magisterium can only re-teach Tradition.  The ordinary/universal magisterium can NEVER define something new.  V2 didn't make use of its solemn infallibility, so all it's novelties are anathema, right out of the gate.  V2 (in theory) made use of its ordinary/universal magisterium when it reiterated certain truths.  Yet, sentences later, when it contradicted itself, this was not a use of the magisterium, but an error, since it was not in accord with Tradition.

And Stubborn left out the rest of that portion of Paul VI's Audience:
but it nevertheless provided its teachings with the authority of the supreme ordinary magisterium which ordinary and so obviously authentic magisterium must be accepted docilely and sincerely by all the faithful, according to the mind of the Council about the nature and aims of the individual docuмents.

This is V2 speak, employing the confused term SOE as if that means something.

Now onto you providing the doctrine proving that all councils are ipso facto infallible. Feel free anytime.

That's exactly what it means.  No one is infallible, save the pope.

bzzzzt.  And you are exactly WRONG.  No INDIVIDUAL is infallible other than the Pope, but the Church herself as a body is infallible.  In fact, it's precisely because the Church is infallible that the Pope, as the head of the Church, is infallible, because in him is present virtually the entire Church.  There's a DISTINCT notion of the infallibility of the Church teaching AND the infallibility of the Church BELIEVING that are taught by theologians.

While in practice, the Church's body cannot exercise infallibility independent of her head, these are FORMALLY DISTINCT notions.

You have it exactly backwards.  It is primarily the CHURCH which is infallble.  Now, the Pope as head of the Church cannot err because that would mean that the Church has effectively erred.  So the infallibility of the Pope derives from the infallibility of the Church, and not the other way around, as you would have it.

You have no idea what you're even talking about.

In case you missed it, the Magisterium is always infallible. Always. No exceptions.

Oh, stop it already, you bumbling idiot.  No Catholic theologian has ever defined the term Magisterium the way you do, as consisting of only the infallible Magisterium.

This is V2 speak, employing the confused term SOE as if that means something.

Now onto you providing the doctrine proving that all councils are ipso facto infallible. Feel free anytime.

LOL..so Paul VI's words are V2 speak when you want it to be!  
Stubborn is willfully blind.  Anyone who follows him, follows him into the pit.

LOL..so Paul VI's words are V2 speak when you want it to be!  
Stubborn is willfully blind.  Anyone who follows him, follows him into the pit.

I don't believe that anyone follows him.  No one on CathInfo here agrees with his definition of "Magisterium".

Yes, indeed, the Church cannot exercise infallibility independent of the Pope ... but the Church AS A WHOLE is infallible, i.e. when united to the Pope.

^^^Novus Ordo doctrine. There is no infallibility in "the Church as a whole" - what is that anyway?

Do you mean to say "The Universal Church"?

That's exactly what it means.  No one is infallible, save the pope.  A council is ONLY infallible because the pope exercises his infallibility through it.  The council fathers help to write texts and formulate teachings, but the pope is the one who decides and pronounces the infallible formula.
.
A council can also be infallible outside of a solemn definition...ONLY when they are re-teaching "that which has always been taught" (i.e. confirming Tradition).  A council or a pope cannot define doctrine or teach something new, without a solemn definition.
.
The ordinary/universal magisterium can only re-teach Tradition.  The ordinary/universal magisterium can NEVER define something new.  V2 didn't make use of its solemn infallibility, so all it's novelties are anathema, right out of the gate.  V2 (in theory) made use of its ordinary/universal magisterium when it reiterated certain truths.  Yet, sentences later, when it contradicted itself, this was not a use of the magisterium, but an error, since it was not in accord with Tradition.

There were Ecuмenical Councils where the Pope wasn't present, he must only affirm the teachings therein. Ecuмenical Councils are infallible because the whole Church teaches together, it's a separate issue from Papal Infallibility.