There is a link in this passage between those who believed, were baptized and devoted themselves to the blessings of the New Covenant, including the Lord’s Supper (see here for this designation). The same “they” (1) received the word, (2) were baptized, (3) were added to the church at Jerusalem, (4) were devoted the Means Of Grace including celebrating the Lord’s Supper. We will leave you here with Hercules Collins’ strong criticism of this paedobaptist inconsistency:
Why are Children denyed the Lords supper if fit for baptism? what, are Children believers, and kept from the Lord’s Table? do we ever read it was denied to a true Believer? what, are Children New Creatures, Regenerated, Born again, and deny them the Elements of Bread and Wine: Oh! hard Father of Infants Men as wise as your self gave Infants the Eucharist for several hundred years, from some of your own Topicks, and will you deny it them? all your long harangue about Infants being capable of one Ordinance, and not of another, is but wind; will you say in the Ordinance of the Lord’s Supper, there must be inherent Grace, and also Grace exercised; but a state of Grace, tho not exercised, say you, is sufficient for Baptism; But how doth this Gentleman know Infants are in a state of Grace to qualifie them for Baptism? The word doth not help him here, and if he conclude so from Charity, then there is the same reason to have the same Charity for Children of Unbelievers, and more too some times, because the Believers Child often falls from a pretended Covenant, State, Faith, Inherent Holiness, New Birth, Regeneration, when the Unbelievers, Child abides in all Truly...I do Assert what ever is Sealed to a Believer in one Ordinance, is Scaled to him in another; nay, there is more particular words of Incouragement added unto Baptism, than to the other: ‘Tis true, ‘tis all comprehended in this, This is my Body broken for you, and my Blood shed for the Remission of your Sins, but for Baptism in Acts 2. you have the promise of Remission of Sins and gift of the Holy Ghost: in Acts 22. ‘tis said to Wash away Sins Symbolically, Mark 16. Salvation is annexed unto Faith and Baptism; the Lord’s Supper, was never so Dignified as Baptism by the Procession of the Holy Ghost; and it is a Symbol of Regeneration and Justification, Rom. 6. Do I see my Sins Pardoned, my Person Justified, God Reconciled, my Person Sanctified, Heaven assured at the Lord’s Supper? I behold the same in Baptism, there I see my Sins Buried in his Grave, as in the other Nailed to his Cross; here I behold my Soul Washed in his Blood, Justified by his Righteousness, Saved by his Death; and is not this a Marriage Feast? And ought I not to have the Wedding Garment now as at the Table of the Lord?
God’s Initiative and Parental Vows
I’ve attended Reformed infant baptisms while I went to church with my now-wife. Reformed churches here in the Netherlands read the form for infant baptism wherein all the arguments which we tried to refute above are presented with the regular texts. In this ceremony, infant baptism is presented as something which comes from God and which displays God’s initiative for saving man. For example, the Form for the Administration of Baptism says:
And although our young children do not understand these things, we may not therefore exclude th...