'Baptized' in the Bible

Is Christ divided? Was Paul crucified for you? Or were you baptized into the name of Paul?

I thank God that I baptized none of you, except Crispus and Gaius,

so that no one should say that I had baptized you into my own name.

(I also baptized the household of Stephanas; besides them, I don't know whether I baptized any other.)

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

For in one Spirit we were all baptized into one body, whether Jews or Greeks, whether bond or free; and were all given to drink into one Spirit.

Or else what will they do who are baptized for the dead? If the dead aren't raised at all, why then are they baptized for the dead?