1 Corinthians 1:13 - Coke's Commentary on the Holy Bible

Was Paul crucified for you?— As if he had said, "Are your obligations to me equal or comparable to those which you are under to our common Master? To him who died for us upon the cross?" He mentions himself, as it was least invidious to do so; though the application was equally just as to every other instance. See ch. 1 Corinthians 3:6 the word εις, rendered in, properly signifies into: so the French translate it here. The phrase βαπτισθηναι εις, —to be baptized into any one's name, or into any one, means, solemnly by that ceremony to enter himself a disciple of him into whose name he was baptized; with profession to receive his doctrine and rules, and submit to his authority: a very good argument here, why they should be called by no one's name but Christ's. See Locke.