Well, my English maybe failing me at this moment, I'll try with examples:
The object of Christians faith is Jesus Christ.
One of the objects of the Egyptian mythology is Ra.
Question: What is the object of faith of a hard atheist that believes there is no God?
first a hard atheist is generally noted as a gnostic atheist. so a hard atheist would say with certainty there is no gods. The object of an agnostic atheist is any god that can possibly be thought of or has been thought of. define it and they will deny it. and they will do so because you cannot prove it.
You defined faith as "belief without knowing".
1) belief: I believe ... that we can't know for sure if God(s) exist or not.
2) without knowing: I don't know .... that what I believe in 1) is necessarily true.
Given 1) and 2) by your definition I have faith.
1. I do not define faith as that, the dictionary does.
2. you do not simply believe that we can't know, that's just the truth.
you don't know because no one knows. but you're not currently worshiping any sort of God that could possibly be imagined or defined.
Look up. By your definition agnosticism is faith
No. that's like saying atheism is faith.
Statements on what basis? Are they true statements or not? Can you prove them?
are you familiar at all with the branch of philosophy called epistemology?
or lack of belief in a deity (I've finished it for you)
okay. redundant though.
Again, agnosticism is not about knowledge. It is belief about the knowledge. The same way that theism is not a god, it is belief about a god.
Then your answer to the question of do you belief in God is "I believe it can't be known" which is still a non sequitur. who cares if you believe it can't be known. you can still believe without knowing. again, no one objectively knows, yet they still believe.
I have an invisible alien in my pocket that cannot be seen, smelled, tasted, touched, or heard and does not give off any sort of radiation. now you cannot know if I actually have an alien in my pocket. Not that you believe you can't know, but literally there is no objective way of knowing it at all. you can believe me (or not) but you cannot ever know for certain. So I ask you, do you believe I have an alien in my pocket? and you answer with "it can't be known" or "I believe it can't be known" still does not follow the question.