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“One man, one vote” is contrary to the promise of a “Republican” form of government.
Our constitution clearly prohibits “democracy” as a form of governance. We are supposed to be protected from the tyranny of democracy.
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And I would argue that it is an essential element of a republican form of government and, as such, is required by Art IV. Section 4, to wit, "The United States shall guarantee to every State in the Union a Republican Form of Government, ..."