The noun apeitheia (from a, not + peithō, to persuade, to obey) denotes disobedience rooted in stubborn unbelief — the refusal to be persuaded by God's word or to yield to His authority. It is not passive ignorance but active, willful rejection. In NT usage it carries both senses: theological unbelief and its practical consequence of disobedience.
Paul's masterful use of apeitheia in Romans 11:30–32 is among the most theologically dense passages in Scripture: 'For God has bound everyone over to apeitheia so that he may have mercy on them all.' Both Jew and Gentile stand under the same verdict of disobedience — not to condemn but to clear the stage for mercy. Ephesians 2:2–3 describes the pre-conversion state of every human: sons of apeitheia, following the 'ruler of the kingdom of the air,' living 'in the cravings of our flesh.' Hebrews 4:6 and 4:11 use apeitheia as the cause of Israel's failure to enter God's rest — a warning to NT believers not to fall into the same pattern. The remedy for apeitheia is not simply trying harder; it is the supernatural gift of faith (pistis, G4102) that the Spirit produces in the heart, transforming the disobedient into the persuaded.