Why Do we Baptized Infants? (Acts 2:39)

Peter states that the promise of the kingdom is for you, your children, and all those who are far off. What does Peter mean by this? Could he mean that children, and even infants are to receive the sign of baptism? I think that it does mean such a thing. If you do not agree, then I hope at least you might understand why Reformed people baptize infants. Please stay tuned to our sermon titled, "Why Do We Baptized Infants?"