Shared ground
Paul treats the body as morally significant because believers already belong to Christ. In his wording, their bodies are “members” of Christ, meaning they are not spiritually detached from what a believer does physically (textual claim: believers’ bodies are members belonging to Christ).
He argues that sex is not a casual, consequence-free act. Being “joined” to a prostitute creates a real bodily bond—“one body/one flesh”—and Paul supports this by quoting Scripture (“the two will become one flesh”; textual claims). The point is not merely social stigma but the kind of union sex makes.
He then contrasts that with the believer’s existing union with Christ: the one joined to the Lord is “one spirit” with him (textual claim). The clash is between two unions that don’t fit together: belonging-union with Christ and sexual union with a prostitute.
Where interpretation differs (only where needed)
Some readers take “members of Christ” mainly as a corporate image: the church as Christ’s body, so an individual’s actions implicate the whole community’s holiness and identity. Others emphasize the personal dimension: each believer’s body is personally bound up with Christ, so sexual union drags Christ into what is being done.
Some readers treat “one flesh” as describing an objective bond created by any sexual act, even outside marriage, which is why prostitution is such a direct contradiction. Others read it as Paul using Genesis as a standard definition of sex’s meaning (a marriage-shaped union), so prostitution is wrong partly because it mimics and violates what sex is for.
Why the disagreement exists
Paul uses compact relational language (“members,” “one flesh,” “one spirit”) without spelling out all the mechanics. “Members of Christ” can naturally be heard both as a community-body image and as a claim about each believer’s body. Likewise, quoting “one flesh” from Genesis invites questions about how broadly Paul applies that line (every sexual act, or the intended meaning of sex).
What this passage clearly contributes
This passage anchors sexual ethics in union: (1) believers already belong to Christ in a way that includes their bodies, (2) sexual joining forms a real bodily union (“one flesh”), and (3) union with the Lord (“one spirit”) is presented as the defining relationship that makes prostitution incompatible. Paul’s repeated “don’t you know” indicates he is appealing to shared teaching and shared assumptions, not introducing a new private opinion (1 Corinthians 6:15).