score:1
The idea is being brought up by Paul indirectly, and as you point out, Paul is arguing against it fervently. The mind/body distinction is a stepping stone towards Gnosticism and also has serious problems with God creating a good world (creation), and God loving and caring for this world and commanding us to care and love this world. (ie the first commission to Adam and Eve back in Genesis)
Paul is basically responding to the doctrine of the Corinthians becoming more Romanized; the Corinthians were explicitly bringing up flavors of that idea in their letters to him.
Careful reading of both the corinthian letters seems to suggest the Corinthian believers were being swayed by the modern Greco-Roman philosophies.
As an aside, deeper reading on the Hebrew notion of soul would render this idea of mind/body/spirit as a holistic motion, regarding the whole being or self rather than focusing on the individual parts (body/mind/heart/spirit/etc.). I would go so far as to say that Jews and early Christians weren't concerned with these splits, but that in the 2nd century these new ideas just took hold of people's minds.