'Baptized' in the Bible

Has Christ been divided? Paul was not crucified for you, was he? Or were you baptized in the name of Paul?

I give thanks that I baptized none of you except Crispus and Gaius,

lest anyone should say that you were baptized in my name.

(Now I also baptized the household of Stephanas. Beyond that I do not know if I baptized anyone else.)

and all were baptized into Moses in the cloud and in the sea,

For by one Spirit we were all baptized into one body, whether Jews or Greeks, whether slaves or free [persons], and all were made to drink one Spirit.

Otherwise, why do they do [it], those who are being baptized on behalf of the dead? If the dead are not raised at all, why indeed are they being baptized on behalf of them?