Whether a man can be excommunicated who is already under sentence of excommunication?

Objections

Objection 1 : It would seem that a man who is already under sentence of excommunication cannot be excommunicated any further. For the Apostle says (1 Cor. 5:12): "What have I to do to judge them that are without?" Now those who are excommunicated are already outside the Church. Therefore the Church cannot exercise any further judgment on them, so as to excommunicate them again.
Objection 2 : Further, excommunication is privation of divine things and of the communion of the faithful. But when a man has been deprived of a thing, he cannot be deprived of it again. Therefore one who is excommunicated cannot be excommunicated again