Paedo~communion is a doctrine that seems to be closely connected with the New Perspective on Paul. The new perspective teaches that Paul did not have a problem with the legalism of the Judaisers in the Galatian controversy, but the problem was with the refusal of Peter to commune as a Jew while Gentiles were present. It was not a Soteriological problem in the eyes of the New Perspective, but an Ecclesiological one. The idea of paedo~communion (administering the Lord's supper to infants or children who are able to eat solid food, at the discression of the parents) in the mind of those who promote it, is that since the Church is the new Israel then all of the rules of feasts from the Old Covenant apply. Logically, this leads to the New Perspective which does not have a problem with the legalism (which they call nomism) of the Judaisers, but allows for these 'cultural differences'.
Paedo~communion is attempting to maintain the continuity of the two covenants, but it is at the expense of some of the discontinuity that the New Testament writers show to exist between the covenants. As much as I love to read Douglas Wilson and the crew at Credenda Agenda, I believe that some of his latest theological hobby horses will prove to be nothing more than a Trojan horse full of heinous error.