You are asking the wrong question.
A written document cannot be “fallible” or “infallible.” Fallible implies that a certain object or person can fail or succeed
at some task or action. Since the written word cannot take action on it’s own, it is incapable of this.
This goes for Sacred Scripture too, BTW. Scripture cannot be called
infallible, as it is erroneously often called, but it **is **inerrant, meaning that
it contains no error.
For example, we say that the Pope can make infallible statements about faith and morals under very specific circumstances (we don’t say that *he himself *in infallible in all things). That implies he is taking some kind of action, in this case, teaching infallibly under specific circumstances.
So your question should be, perhaps: **Does the Catechism contain infallible teachings? **
Yes it does, where those teachings can be defined as such by the required criteria. But
more importantly, the entire Catechism represents the Ordinary Magisterium (teaching authority) of the Church. Catholics are beholden to hold this Ordinary teaching just as they are beholden to assent to Extra-Ordinary Magisterial teachings like the occasional infallible pronouncement.
It is one of the great errors of our day to think that Catholics only have to believe infallible statements, and can pick and choose the rest.
Does that help?
