That no flesh should glory in his presence.
No flesh should glory. For they who glory (boast) because of human greatness and wisdom are "put to shame" (1 Corinthians 1:27; Isaiah 40:6).
In his presence. So Vulgate, 'Aleph (') A B C Delta G f g, read 'in God's presence.' Glory not before Him, but in Him (Bengel). Here Paul turns to his aim, to warn them that the preachers in whom they gloried had no ground for glorying in themselves; so the hearers ought to glory not in them, but in the Lord (1 Corinthians 3:21; 1 Corinthians 4:6).