Peter agrees with Paul in his preaching before the council in Jerusalem; “And there is salvation in no one else, for there is no other name under heaven given among men by which we must be saved.” (Acts 4:12). Jesus came to build the church composed of “saved” persons. Peter told those in Cornelius’ house that “all the prophets bear witness that everyone who believes in Him receives forgiveness of sins through His name” (10:43; see also Luke 24:47; John 20:31). It is the person of Jesus Christ and His atoning work alone that salvation and the church are built.
This is why Paul is very pointed in his statement that “no one can lay a foundation other than that which is laid, which is Jesus Christ”. Building on any other foundation will be tested by the fire of God’s judgment and will be “burned up” (3:14). This is why Paul warns, “Let each one take care how he builds upon it” (Christ the foundation) – (3:10).
FOOTNOTE: Since Paul proclaimed Jesus Christ as the foundation of the church in 1 Corinthians 3:11, we must correctly understand that Jesus was referring to Himself as the “rock” on which He would build the church, not Peter (Matthew 16:18). In this same venue, Jesus is referred to as the “cornerstone” of the building, the church (Acts 4:11; Ephesians 2:20; 1 Peter 2:6-7).