Questioning the authenticity of an instruction seems to be bad for your career, also questioning whether the President of the United States is "sane" or not is not good either.
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"Maj. Harold Hering and the forbidden question that cost him his career.
It was a question that changed his life, and changed mine, and may have changed—even saved—all of ours by calling attention to flaws in our nuclear command and control system at the height of the Cold War. It was a question that makes Maj. Hering an unsung hero of the nuclear age. A question that came from inside the system, a question that has no good answer: How can any missile crewman know that an order to twist his launch key in its slot and send a thermonuclear missile rocketing out of its silo—a nuke capable of killing millions of civilians—is lawful, legitimate, and comes from a sane president?"