I think there are two good points about Peter and Paul. First, Paul expresses that he was able to be educated, and still be wrong (Philippians 3:5-7). His education led him in the wrong direction until he really understood it.
The second point is the balance between Peter and Paul. \\"Antagonism\\" has an important place in their relationship, as we read in Galatians 2.
Still, with respect to Acts 4:13, I think that they were being set apart from the Pharisees and scribes in the minds of the bystanders.
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