Sorry you are incorrect. Ted Cruz was born a US citizen per Title 8 section 1401 subsection G where he received his citizenship being born of a US Citizen (his mother). Since Mr Cruz was born a US Citizen, he has no requirement to be naturalized and is therefor a natural born citizen.
Since Mr Cruz was born a US Citizen, he has no requirement to be naturalized and is therefor a natural born citizen.
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In the Constitution there are citizens, naturalized citizens, and natural born citizens. Why would the framers use separate terms to describe these different catagories?
Ted Cruz is a naturalized citizen by the statute you mentioned. The constitution gives Congress the authority to make these laws governing citizenship of anyone who is not a natural born citizen. These statutes are changed from time to time. But, Congress cannot change who is a natural born citizen.
Congress has No authority to make a statute governing the citizenship of a person born in the US of Citizen parents; thus, you have never seen them described in the statutes. The statutes describe all others and how they may obtain citizenship at birth or otherwise.
Aliens who wish to become citizens must go through a naturalization process set up by Congress.