Who is allowed to join the table? The answer to that question is everyone. The qualification to the “everyone” is those who believe. Children of believers must by definition be invited to the table. They should find security in the elements just like the children of Israel found security with the blood marks on their doors in Egypt. Further, faithful believers should find nourishment in the meal. They should yearn for it and desire it more than they desire their earthly nourishment.
Jonathan Edwards’ father-in-law permitted all to come to the table, both believers and unbelievers alike. This was a serious error that may have led many souls to destruction. Edwards on the other hand realized that the table was open for believers only–though at the same time Edwards failed to include covenant children– only for those who truly identify with the Christian struggle. Only those who understand the reality of sin and have fled subsequently to the sin-bearer. Christ invites all to come and take and eat, but those who have not been invited to the table MUST remain seated lest the table swallow them up in unbelief.
Douglas Wilson argues:
The Bible does not teach us that the Table must be protected from unfaithful people. Rather, the Bible teaches us that unfaithful people must be protected from the Table.
God has in His rich mercy extended a dangerous invitation. It is undoubtedly a double-edged sword: life or death. So, take and eat, this is my body and blood given for you.