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Vattel was no authority. He lived in a monarchy.
The founders were the authority on the constitution, and when they convened as the congress they clarified the meaning: A natural born is one who is a citizen regardless of where he is born.
So you know more about what went on than George Washington who was the Chair of the Constitutional convention?
You also know more than the First Chief justiee of the Supreme Court, John Jay?
You want to know more than Benjamin Franklin who ordered three copies of The Law of Nations and letters and documents confirm that fact.
The Congress spent money to order a copy of Vattel’s Law of Nations for their own library sometime later.
Vattel is cited time after time after time ad infinitum in Supreme Court cases, but you know so much more than he did.
Yeah, uh huh. I hear ya.....babbling.