A limited number of options (usually two) is given, while in reality there are more options. A false dilemma is an illegitimate use of the “or” operator. Putting issues or opinions into “black or white” terms is a common instance of this fallacy.
E.g., criticize the pope, or pray and fast for him. Those are your only two choices.
An analogy was suggested at Mass this morning: that of St. Peter, the first pope, who denied Our Lord three times and yet subsequently became a great saint, and Pope Francis, who is likewise sinful and flawed but may also become a great saint. The homily’s implication was that we should temper our criticism of the Holy Father just as we do for Saint Peter.
First, praying and sacrificing for the pope, and criticizing or correcting him when necessary, are not mutually exclusive. I don’t believe our homilist explicitly claimed they were, but I suspect that many in the pews came away with that impression. This suggestion would be a classic false dilemma.
Second, it must be recalled that St. Peter, at the time of his denials, was not in a position of great influence. There is no record of others following him in his denials. Certainly, if he had encouraged others to do the same, any disciple of Christ would have been obligated to state publicly: “No, don’t follow Peter in this matter. He is wrong. To follow him would be a sin.” Unfortunately with Pope Francis we are faced with a pope who has immense influence and who has, in fact, led millions into false beliefs by his many heterodox statements. No good Catholic can be silent in the face of this reality. We must oppose Pope Francis publicly when he is misleading people publicly. Pray and sacrifice, of course, but also speak up!
It is crucial that the SSPX not be the only voice that warns people of this danger. The Society’s voice is important, but there also need to be voices among other orthodox Catholics of every persuasion. At this point, the orthodox clergy must toe the line, in order to preserve what good influence they have under this pope, but the laity are not so constrained. Speaking out at this juncture is primarily the duty of the laity. You have been taught your Faith for a reason. Defend it.