Besides the professed advocates of Augustinianism, the principal theologians who belonged to the first party were Bellarmine, Petavius, and Bossuet, and the chief ground of their opposition to the previously prevalent Scholastic view was that its acceptance seemed to compromise the very principle of the authority of tradition. As students of history, they felt bound to admit that, in excluding unbaptized children from any place or state even of natural happiness and condemning them to the fire of Hell, St. Augustine, the Council of Carthage, and later African Fathers, like Fulgentius (De fide ad Petrum, 27), intended to teach no mere private opinion, but a doctrine of Catholic Faith; nor could they be satisfied with what Scholastics, like St. Bonaventure and Duns Scotus, said in reply to this difficulty, namely that St. Augustine had simply been guilty of exaggeration ("respondit Bonaventura dicens quod Augustinus excessive loquitur de illis poenis, sicut frequenter faciunt sancti" — Scots, In Sent., II, xxxiii, 2). Neither could they accept the explanation which even some modern theologians continue to repeat: that the Pelagian doctrine condemned by St. Augustine as a heresy (see e.g., On the Soul and its Origin II.17) consisted in claiming supernatural, as opposed to natural, happiness for those dying in original sin (see Bellarmine, De amiss. gratiae, vi, 1; Petavius, De Deo, IX, xi; De Rubeis, De Peccat. Orig., xxx, lxxii). Moreover, there was the teaching of the Council of Florence, that "the souls of those dying in actual mortal sin or in original sin alone go down at once (mox) into Hell, to be punished, however, with widely different penalties."

It is clear that Bellarmine found the situation embarrassing, being unwilling, as he was, to admit that St. Thomas and the Schoolmen generally were in conflict with what St. Augustine and other Fathers considered to be de fide, and what the Council of Florence seemed to have taught definitively. Hence he names Catharinus and some others as revivers of the Pelagian error, as though their teaching differed in substance from the general teaching of the School, and tries in a milder way to refute what he concedes to be the view of St. Thomas (op. cit., vi-vii). He himself adopts a view which is substantially that of Abelard mentioned above; but he is obliged to do violence to the text of St. Augustine and other Fathers in his attempt to explain them in conformity with this view, and to contradict the principle he elsewhere insists upon that "original sin does not destroy the natural but only the supernatural order." (op. cit., iv).