Let his posterity be cut off; and in the generation following let their name be blotted out.
Read Chapter 109
Augustine of Hippo
AD 430
14. But what is it that he next addeth? "Let the wickedness of his fathers be had in remembrance in the sight of the Lord, and let not the sin of his mother be done away" (ver. 13). Is it to be understood, that even the sins of his fathers shall be visited upon him? For upon him they are not visited, who hath been changed in Christ, and hath ceased to be the child of the wicked, by not having imitated their conduct. ...And to these words, "I will visit the sins of the fathers upon the children," is added, "who hate Me;" that is, hate Me as their fathers hated Me: so that as the effect of imitating the good is that even their own sins are blotted out, so the imitation of the wicked causeth men to suffer not their own deservings only, but those also of those whom they have imitated. ...
Out. As children derive great advantages from the piety of their parents, so they also feel the punishment of their crimes, when they imitate them, Deuteronomy xxiv. 16., and Ezechiel xviii. 20. If they share in the afflictions of their family, and are free from sin, this must be considered as a trial, and they will be amply rewarded in a future world. God is the arbiter of the life and death of all. External miseries may afflict both the just and sinners; but the motive for their being sent is very different. The Jews prayed, Let his blood be upon us, and upon our children; (Matthew xxvii. 25.) and they became chargeable with all the crimes of their ancestors, Matthew xxiii. 35. (Calmet)