I disagree. Any or all of Catholicism can be false. Yet, people will benefit from following its rules, regardless of whether its teachings are true or not. Otherwise, Catholicism would not be where it is today.
Like with science, the test of the rules are IF THEY WORK. Do they provide an accurate picture of human behavior that can be used for prediction? At one point in my journey, when I was drifting away from the Church, I would have said no, they don't provide an accurate enough picture, even merely for allowing people to benefit from those teachings.
Several experiences, particularly with the virtue of Chastity and violations thereof, have convinced me otherwise, so completely that I'm willing to say that no, Catholicism can't be false. The final clue though, for me, was in Nostra Aetate, at the end of the fifth paragraph in section 2, when it is giving a discussion on how the Church views morality, and I suddenly realized that this is where science started, and that theology really is the King of all Science.
There are myths that have no historical truth to them but work nonetheless because people believe them and/or learn from them.
Truth is bigger than history. In more high theology terms- dogma is truth, doctrine is what we can discover about dogma through the light of human reason and the historical perspective, and MYTH IS DISCIPLINE.
A long time ago I read a novel written by an anti-Catholic, a story about an archeologist who claimed to disprove the Resurrection because he had found the body of Jesus. The hoax was exquisite- it even included using ashes found in a campfire in a different dig on the same era to create an ink that would carbon date correctly.
That novel forced me to ask myself the question- does the Resurrection really matter to my Catholicism? Like my earlier tussle with the concept of Hell, in which I came up with the confounding phrase I've often used since then on fundamentalists and atheists alike "If my Lord Jesus Christ decides that I should go to Hell for His Glory, then I shall gladly go", I decided no, the historical event of the Resurrection, while I'm pretty sure it did happen due to eyewitness evidence maintained even under torture and certain death, really doesn't mean that much to my faith. It could be a myth created by the Essenes to promote their version of Jewish Gnosticism, and it would still contain all of the lessons that I need to learn from it about self-sacrifice and perseverance. As a Knight of Columbus, I took an oath to carry the cross- but if that cross is just a metaphor, does it really change what I need to do in charity? No, it doesn't.
Katholikos means universal. If there is any hope for a universal morality at all, it must be rational as well as believeable. NONE of the competitors that I've studied so far, and there have been many, hold a candle to Catholicism as far as rationality is concerned, as far as universality is concerned. Atheism comes close, but as we're learning in the third world, isn't universal enough. Other forms of Christianity are equally faith based, but aren't rational enough, and with 32,000 competing theologies, aren't universal enough. Buddhism is the next closest- but just like Christ summed up the ten commandments into two, I can sum up the eightfold path into "expect bad things to happen, and you'll always be right".
Only Catholicism embraces the radical theology that eventually became the scientific method, to become truly universal, and so with Pope Paul VI I must proclaim
Likewise, other religions found everywhere try to counter the restlessness of the human heart, each in its own manner, by proposing "ways," comprising teachings, rules of life, and sacred rites. The Catholic Church rejects nothing that is true and holy in these religions. She regards with sincere reverence those ways of conduct and of life, those precepts and teachings which, though differing in many aspects from the ones she holds and sets forth, nonetheless often reflect a ray of that Truth which enlightens all men. Indeed, she proclaims, and ever must proclaim Christ "the way, the truth, and the life" (John 14:6), in whom men may find the fullness of religious life, in whom God has reconciled all things to Himself.