Whether irregularity attaches to bigamy?

Objections

Objection 1 : It would seem that irregularity is not attached to the bigamy that consists in having two wives successively. For multitude and unity are consequent upon being. Since then non-being does not cause plurality, a man who has two wives successively, the one in being, the other in non-being, does not thereby become the husband of more than one wife, so as to be debarred, according to the Apostle (1 Tim. 3:2; Titus 1:6), from the episcopate.
Objection 2 : Further, a man who commits fornication with several women gives more evidence of incontinence than one who has several wives successively. Yet in the first case a man does not become irregular. Therefore neither in the second should he become irregular.
Objection 3 : Further, if bigamy causes irregularity, this is either because of the sacrament, or because of the carnal intercourse. Now it is not on account of the former, for if a man had contracted marriage by words of the present and, his wife dying before the consummation of the marriage, he were to marry another, he would become irregular, which is against the decree of Innocent III (cap. Dubium, De bigamia). Nor again is it on account of the second, for then a man who had committed fornication with several women would become irregular: which is false. Therefore bigamy nowise causes irregularity.