The fighting was so violent between them that they fought among themselves. Barnabas took Mark and sailed for Cyprus; Here we see an example of how Christian leaders model the right points of view. Sometimes there are times when one „agrees not to agree“ (Paul and Barnabas follow their separate paths in Acts 15:36-41), but in Galatersehen we see an example where the truth of the Gospel is at stake, and confrontation is therefore necessary. The Antioch incident was an apostolic age conflict between the apostles Paul and Peter, which took place in the city of Antioch in the middle of the first century.  The main source of the incident is Paul`s Letter to the Galatians 2:11-14.  Since Ferdinand Christian Baur, biblical scholars have found evidence of conflicts between the leaders of early Christianity; James D.G. Dunn, for example, suggests that Peter was a „bridge man“ between the opposing views of Paul and James, the brother of Jesus.  The final outcome of the incident remains uncertain, leading to several Christian views on the Old Covenant. The Acts of the Apostles refer to an incident between Paul and Barnabas shortly after the Council of Jerusalem, but it indicates why John Mark can accomplish Paul`s mission (Acts 15, 36-40). The deeds also describe the time when Peter entered the house of a pagan. Acts 11:1-3 says: Scholars are mixed on whether Paul wrote Galatians before the Council of Jerusalem or after. I think it is more reasonable to say that it was according to Acts 15, because Paul is not too happy with Barnabas and they separated shortly after the Jerusalem Council. Paul and Barnabas had a disagreement and Paul could not forgive Mark for leaving them in the pamphylias, and Paul therefore decided to part with them: there is a debate that the confrontation was not between Paul and Peter, the apostle, but one of the 70 disciples identified at that time, with the same name as Peter.
In 1708, a French Jesuit, Jean Hardouin, wrote a thesis that „Peter“ is in fact „another Stone“, that is, the center of gravity of using the name Cephas (Aramaic for Peter).  After the epistle to Chapter 2 of Galatians, Peter had gone to Antioch, and there was an argument between him and Paul. The letter does not say exactly whether this happened after the Jerusalem Council or before, but the incident is mentioned in Paul`s letter as his next topic, after describing a meeting in Jerusalem that some scholars consider to be the council. Another time that many consider to be better suited to the facts of the incident is that it took place long before the Jerusalem Council, perhaps shortly after Paul`s visit to the Famine of the Acts of the Apostles.11 This conclusion makes more sense for Peter`s apparent change of attitude. Galatians 2:11-13 says: 52 There is a great difference between „privilege“ and „superiority.“ In Romans 3:1, 2 and 9:4-5, Paul lists some of the privileges granted to the Jews, but this did not indicate superiority, for „it takes a lot of things“ (Luke 12:48).