This compound adjective (alpha-privative + katapausis) means "unceasing," "that cannot cease," or "insatiable." Classical usage applied it to things that cannot be stopped or set at rest. Peter uses it in 2 Peter 2:14 describing false teachers who have "eyes full of adultery, unceasing from sin." The term emphasizes the relentless, insatiable nature of their lust and deception—they cannot stop sinning, cannot rest from their evil desires. The image is of compulsive, addictive sin that drives them ceaselessly. Their eyes constantly seek adulterous opportunity; their hearts never rest from devising ways to exploit others.