I've heard it said that the only way to come to a true understanding of anatta is through meditation; nevertheless, I'd really like it if someone would be able to explain it to me from an intellectual basis, if that's possible.
If our true self does not include our thoughts, impulses, forms, consciousness, etc as the Buddha said, then what is our true self? Is there any self at all? If not, what is reborn when we go through rebirth? How do we continue to be "us" after rebirth if we don't possess some form of foundational force or essence that makes us, us?
I've found other Buddhist concepts so easy to grasp, but this one just continues to elude me.