re: Lying to cops should only be a crime if you are under oath

quote:

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And it's also why your Miranda Rights remind you that you have the ability to keep your mouth shut.

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True, but if they are only questioning you they do not read you your Miranda Rights. That only comes if they arrest you.
If they are questioning you (In anticipation of a possible arrest, or simply to gather information in an investigation) they do not read you the Miranda Rights.