'Acknowledged' in the Bible

"Those who are far away have heard what I've done; and those that are near have acknowledged my power.

For the sake of Jacob my servant, Israel my chosen, I've called you, and he has established you with a name, although you have not acknowledged me.

I am the LORD, and there is no other besides me: and there are no gods. I'm strengthening you, although you have not acknowledged me,

But you are our Father, even Abraham does not know us and Israel has not acknowledged us; you are he, O LORD, our Father, from long ago, "Our Redeemer' is your name.