"If the Bush Doctrine includes the use of Nuclear weapons isn't it by definition a proponent of their use?"
The Bush Doctrine does not rule out the use of nuclear weapons - that is not the same as advocating the use of them. By your logic, every president since Truman is guilty of the same thing, since it has always been the official US policy that no options (including nukes) are never officially taken off the table in the event of war.
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"What exactly does it mean to be anti-Semitic? Who exactly is Semitic?"
Common usage and the dictionary define anti-semitic as anti-Jewish.
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