The problem there is, in this scheme of things, being born does not equal "existing." He is thought to have existed before he was incarnated.
Where did he "exist" before?
And I would add that Jesus was resurrected from the dead--as in, he is still alive.
What does this matter if his existence is not contingent upon his living?
And Jesus is still alive now?
After he was resurrected, he actually became a living human being again?
And he's stayed a living, breathing human ever since? Even after he left the Earth?
Why wouldn't he have just gone back to existing, not actually living?
The point is--He always was, and always will be, the Son of God--Eternal and unchanging.
Who gave birth to him the first time? Before he was born? When he just existed?
I mean, he couldn't have come into existence at the same time as God, if he is God's child, no?
At what point in time, how long after God came into existence, did God make baby Jesus?
(And by "baby Jesus", I'm not referring to the actual, in the flesh, living Jesus, just the Jesus that was born into existence, not life.)