Depends on the denomination, but Christianity in general usually has some sort of bodily resurrection. Certainly you see that in the gospel narratives about Jesus. Paul talks about it as well in his epistles, but whether he meant some new form of body or the existing one being restored is debatable. The ancients thought divine beings had bodies made of a celestial material. It's important to note that they didn't see the supernatural as existing in some other dimension. It was literally right above in the heavens or below in Sheol. It was all one universe.
So Paul may have been arguing that Jesus and his followers would receive a new celestial body that wouldn't be subject to disease and death upon resurrection. Orthodox Churches don't believe in cremation because they think the biological body does get resurrected. The idea of a pure immortal soul is Greek, not Jewish in origin. Or at least it was believed that a soulish existence was a shadowy one in the underworld, not one enjoyed by beings in the heavens.
So Paul may have been arguing that Jesus and his followers would receive a new celestial body that wouldn't be subject to disease and death upon resurrection. Orthodox Churches don't believe in cremation because they think the biological body does get resurrected. The idea of a pure immortal soul is Greek, not Jewish in origin. Or at least it was believed that a soulish existence was a shadowy one in the underworld, not one enjoyed by beings in the heavens.