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This "bogus" idea couldn't be more obvious. The right to keep and bear arms comes from English law, where while it was far more limited, it clearly had nothing to do with a militia. The Federalist papers, which you metioned by the way, are pretty clear about this being an individual right: they say of the majority of the people, that little more can be expected than that they be armed (not organized into a militia, not trained, not "well regulated"), and that a key difference between Europe and the United States is that European governments don't trust their people with arms. Neither of these are consistent with anything other than individual ownership of arms.
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