This is an excellent article written by Vern Poythress who is a professor at Westminster Theological Seminary which is paedo baptist, as is Vern himself. ( he is ordained in the PCA)
However, this addresses the subject to people who are more credo baptist, or not sure which side they are on as they move towards Reformed doctrine, with an appeal to the fact that if you belive that baptism must await evidence of regeneration, children at a very young age can show that new heart and new spirit inside them, given by God. He appeals for Baptists to recognize the evidence for regeneration of children at certainly age 4-5 and even younger, as young as age 2.
Here is one snip:
What are the implications for small children? A profession of faith by a small child may be genuine, even though it does not show all the maturity that characterizes a profession by a spiritually mature adult. We must not impose rigoristic standards for a profession of faith, such as only a adult or teenager could meet. We must recognize that Christian faith is primarily personal trust in Christ rather than intellectual mastery or technical skill in verbal articulation of the truth. On the other hand, after a child has professed faith, we must avoid the indifferentist error. The child needs much instruction, much time, and much growth to come to maturity.
Baptism has a role to play. Baptism marks the inception of Christian living and the beginning of membership in the church. It ought not to be confined to those with some kind of mature or long-tested faith. We must avoid rigorism at this point if we are to practice genuine love toward children. Hence, we need to baptize small children who give a credible profession of faith. Leaders will find that as they adjust to the capabilities of children, and the congregation becomes used to instructing and exhorting children in an appropriate way at an early age, the age of baptismal candidates will decrease down to three or even two years.
Change in this area is not optional: it is an implication of practicing biblical love towards children.
Indifferentism and Rigorism
Indifferentism and Rigorism in the Church:
With Implications for Baptizing Small Children
by Vern Sheridan Poythress
Westminster Theological Seminary
P.O. Box 27009
Philadelphia, PA 19118-0009
[Published in Westminster Theological Journal 59/1 (1997) 13-29. Used with permission.]
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I do hope you will read this. If your credo conscience will not allow you to baptize your baby, perhaps it will help you avoid thinking that your child must be 14 or 16 or so and have their systematic theology all figured out before they can get baptized. Perhaps you find a middle ground of baptizing with evidence of regeneration, but realizing that can be seen at a very early age.