During the long years of exile, God's reputation suffered profound disrespect among the nations. However, the future redemption promises a dramatic shift in how the people perceive and understand Him. At that time, the Israelites will finally recognize God's true greatness [מלבי״ם, רד״ק, ביאור שטיינזלץ]. This recognition is not merely about knowing a title, but rather achieving a deep understanding of His power and His absolute rule over the world [רש״י, מצודת דוד]. Consistent with the prophetic style of Isaiah, knowing God means grasping His true essence and character, which will then be clearly visible to everyone [שד״ל].
The certainty of this promise is heavily emphasized, pointing directly to the actual day of redemption [שד״ל]. When that day arrives, the people will come to a profound realization. They will understand that all the past messages of comfort and hope were not just the personal thoughts of the prophets, but the direct words of God Himself [רד״ק].
The ultimate fulfillment of this promise culminates in God actively declaring His presence. He testifies that He is the exact same God who made the promise long ago and who now appears to make it a reality, completely unchanged [רש״י, מצודת דוד, רד״ק, שד״ל]. Ultimately, it is this very act of revelation—God stepping forward to fulfill His word—that will lead the people to truly know and understand Him [אבן עזרא].