No Example of Infant Baptism in the Bible?

It's no wonder that Reformed and Presbyterian theologians appeal to 1 Corinthians 10:1-2 to falsify the Baptist claim that “there is no example of infant baptism anywhere in the Bible.”[1] Normally, when dealing with this passage we utilize a simple three-step process of reasoning:

(1) First, we note that Paul says, Our fathers were baptized when they crossed the Red Sea.[2]

(2) Second, we ask the question, Which of our fathers actually crossed the Red Sea?

(3) And third, we show that Paul says, All our fathers passed through the sea and were baptized.

// Moreover, brethren, I do not want you to be unaware that ALL our fathers were under the cloud, ALL passed through the sea, and ALL were baptized into Moses in the cloud and in the sea //

The reason this line of reasoning is so effective is that once our Baptist friends acknowledge that the entire nation of Israel was baptized in the Red Sea, every pretense for claiming that the Bible contains no example of infant baptism is removed. After all, this one passage provides us with thousands of infant baptisms!

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[1] In his 1680 revision to the Heidelberg Catechism, Baptist minister Hercules Collins makes this very claim. In Question 71, he asked: Are infants to be baptized? His answer was: None by no means; for we have neither precept *nor example* for that practice in all of the book of God.

[2] It should also be noted that the mode of this baptism was not immersion but sprinkling, for Psalm 77:17 tells us that when the children of Israel passed through the sea "the clouds poured out water."