The New King James titles this section "The Elder's Task." It covers instructions to the ministry in their job to protect the church from false teachers. In this section is the famous verse 12, "Cretans are always liars," and then he talks about those who are preaching Jewish fables and teaching the commandments of men.
Paul is giving general guidelines to Titus, the pastor on Crete, to help him to read the motives of the people who were affecting the congregation. One might say he was helping Titus to read their fruit. Does not scripture say, "You will know them by their fruits?" This is one of Christ's prime teachings in the Sermon on the Mount so that we would know the wolves that come among the flock. Paul is doing this same with Titus except putting it into different words.
He is telling the ministry that they have to get inside the heads of the people to sense the type of people that they are. Ministers have to be able to "read their minds" by observing what they say and do. This is not a Gestapo action, but an exercise to protect the flock. Among a minister's primary jobs is to ensure that no one has entered the flock who does not belong there, and to usher him out, if need be, to protect the rest of flock.
Oftentimes, goats come in among the sheep, and the goats need to be chased off due to their contrary influence on the sheep. Matthew 25 is clear about where the sheep end up, and where the goats end up.
Paul is instructing Titus in how to do his job—how to protect the flock of which he was made leader.
Richard T. Ritenbaugh
Is God in All Our Thoughts?