In contrast to the description of the strong character of elders, Paul turns to the rebellious, the false teachers, and instructs Titus on how best to counter them.
Take a look for yourself in Titus 1:10-11:
Paul quickly shifts from describing the qualities of the men that Titus needs to install in positions of church leadership to those who form the opposite character. These rebellious individuals were a primary reason that solid spiritual leaders were needed. Someone needs to silence these men with solid doctrine.
These people are rebellious. This is the same word used in verse 6, translated as “disobedient.” The idea conveyed here is insubordination and an attitude that rebels against God’s Word and its authority. They reject the truth. Their teaching has no value, it is simply meaningless talk, leading nowhere. In fact, these false teachers are doing nothing more than leading people stray and deceiving them. There is no useful purpose to their teachings.
Unlike the two letters to Timothy, where Paul is somewhat vague about just who these false teachers are, even though he names a couple of them, in this letter, he plainly states that these false teachers are members of the “circumcision group.” That means they are of Jewish background. This does not necessarily imply that they were members of the church, or even believers. They may not have been at all. Early historians have placed a sizable Jewish population on the island of Crete.