Maistre argues that, in the Church, the Popeissovereign, and that it is an essential characteristic of all sovereign power that its decisions should be subject to no appeal.
Maistre mostly writes from the perspective of the ordinary magisterium having an infallible character, whereas the First Vatican Council defined a dogma on the infallibility of the extraordinary papal magisterium, in the limited circumstances when the Pope decides that it is time to define a dogma. Nevertheless, among modern theologians it is generally agreed that certain forms of the ordinary magisterium can at times be infallible, such as the bull Apostolicae curae or the encyclical Ordinatio sacerdotalis, as John Paul II explained in Ad Tuendam Fidem.
As to the schismatic Churches, Maistre believed that they would fall into philosophic indifference as Catholicism was the only religion fully capable of being compatible with science.[1]