Whether vengeance should be wrought by means of punishments customary among men?

Objections

Objection 1 : It seems that vengeance should not be wrought by means of punishments customary among men. For to put a man to death is to uproot him. But our Lord forbade (Mt. 13:29) the uprooting of the cockle, whereby the children of the wicked one are signified. Therefore sinners should not be put to death.
Objection 2 : Further, all who sin mortally seem to be deserving of the same punishment. Therefore if some who sin mortally are punished with death, it seems that all such persons should be punished with death: and this is evidently false.
Objection 3 : Further, to punish a man publicly for his sin seems to publish his sin: and this would seem to have a harmful effect on the multitude, since the example of sin is taken by them as an occasion for sin. Therefore it seems that the punishment of death should not be inflicted for a sin.