“I got worried when he muffed the inaugural swearing in.
Im not even a lawyer and I bet I could say it from memory.”
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There has been some speculation that that was done by prearrangement in order to conduct the real swearing in ceremony using Obama’s true name. Remotely possible.
He wouldn’t have had to muff it to redo the oath in secret. If he didn’t use Obama’s legal name, the oath would have been invalid, and he could redo it later that day when no one was watching.