Should Christian infants receive communion?

Here is St. Augustine's answer:

“Those who say that infancy has nothing in it for Jesus to save, are denying that Christ is Jesus for all believing infants. Those, I repeat, who say that infancy has nothing in it for Jesus to save, are saying nothing else than that for believing infants, infants that is who have been baptized in Christ, Christ the Lord is not Jesus. After all, what is Jesus? Jesus means Saviour. Jesus is the Saviour. Those whom he does not save, having nothing to save in them, well for them he is not Jesus. Well now, if you can tolerate the idea that Christ is not Jesus for some persons who have been baptized, then I am not sure your faith can be recognized as according with the sound rule. Yes, they’re infants, but they are his members. They’re infants, but they receive his sacraments.They are infants, but they share in his table, in order to have life in themselves.” (From Sermon 174)

Agreed?