It is called Catholic then because it extends over all the world, from one end of the earth to the other; and because it teaches universally and completely one and all the doctrines which ought to come to men's knowledge, concerning things both visible and invisible, heavenly and earthly; and because it brings into subjection to godliness the whole race of mankind, governors and governed, learned and unlearned; and because it universally treats and heals the whole class of sins, which are committed by soul or body, and possesses in itself every form of virtue which is named, both in deeds and words, and in every kind of spiritual gifts.
Cyril of Jerusalem [c.A.D. 315-386]
Further reading
Cyril describes catholicity through the reach of the Church’s teaching, its people and its spiritual gifts. The updated Catechism of the Catholic Church offers a contemporary framework for exploring that breadth, with its account of the Church’s catholicity in paragraphs 830–856.