This article is out of date in that it exaggerates the role of democracy, i.e., representatives chosen on the basis of one person, one vote, at the Federal level in the United States today. Among today's three branches of Federal Government there is no controversy about neither the Judicial nor the Executive Branches being democratically elected, although the Judicial Branch has at least a democratic aura about it in that Court appointees are subject to approval by the Senate, and the Senate is the only body of the Legislative Branch of Government that is democratically elected. Our Senators are democratically chosen representatives of each of the fifty States. This is ironic in that originally the Senate was appointed.
The body keeping our Federal Government from being well described today as a Democratic Republic is our House of Representatives. This, too, is ironic in that after much heated debate the founders decided to rest both the greatest element of democracy and the greatest power, with the House. (The House is the only body that can prevent the Court from interfering with its intentions.) The House of the founders was to be truly representative of the will of the people. Hamilton was the chief architect, and his arguments held sway. However the founders did nothing in their Constitution, of a direct nature, to head off Gerrymandering.* Thus we have succeeded in virtually obliterating the intention of the founders by the creation of gerrymandered house districts. If our House today represents the democratic will of the people, it is mere accident.
So while it is still correct to say that the form of Government in the Untied State today is that of a Democratic Republic, that description is misleading in that, at the Federal Level, the democratic elements are quite minor.
Whether this is good or bad can be argued endlessly. As all forms of government are defective in one respect or another.
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*Equal protection arguments can be launched against Gerrymandering, and no doubt will be in coming Court cases.