The Catholic Church has had nearly 2,000 years to master the art of sophistry. The Church has a history of Christian apologetics who will argue on the church's behalf and have learned to modify their message to their audiences. For example, when Catholics recite Anselm's arguments for the existence of God to the credulous, they claim that these arguments prove that God does exist. When they recite them to the more skeptical, these arguments merely demonstrate that reason and belief are not in conflict with each other.
The Catholic Church professes to respect reason, but they only respect it as a tool. If they truly had respect for reason, they wouldn't believe in the incoherent theory of the holy trinity, the absurdity of the virgin birth, or in a god who is both omnibenevolent and omnipotent in such an imperfect world. If they respected reason, then they would allow women to be priests and they would allow African's to put condoms on their penises!