Paul, an apostle of Jesus Christ by the will of God, and Timothy our brother, unto the church of God which is at Corinth, with all the saints who are in all Achaia:
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Didymus the Blind
Paul does not always mention other people besides himself in his salutations. I think that he does this when one of his associates is wellknown to the intended recipients. “With all the saints” is ambiguous. Either it means all the saints who were with Paul, or else it means all the saints who were at Corinth. .