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2. the electoral college gives the state's a voice as well, hence us being a Republic and not a Democracy: that's why every state starts off with 2 electoral college votes."
Just a side note, you might call this a mixed democracy. Unless the states are not democratic on the local level. (You could for example have kings in elected in each state, and then have the electoral colleges choose who is to be king of kings.... like a really 'not a democracy' - but you don't, cause the US is a democracy... also a republic.)
@"Republics are used to separate chains of powers, via the states and federal government, whereas democracy directly elects a single leader. Anatchal democracies have no representatives."
See it is interesting that you can ignore the technical definition of a republic, and use the context in which that word is used, but you can't do the same for the democracy.
Direct Democracy, doesn't use a single directly elected leader, all members of the electorate get to vote on every issue. That means everyone who wants to turn up to vote on a given day can.
Republic just means a piece of paper limits the powers of the state, contrasted with an absolute monarchy where the word of the monarch is absolute.
That is all a republic means, it just happens that in the US there is a seperate State and Federal government. In the Republic of Ireland, there is one national government - and that is no surprise since we only have a population of ~4.6 million. But we have a constitution, a single document which makes us a republic.
The US is a sovereign nation, the federal government is sovereign, because the states are not allowed to leave or nullify federal laws (though state/local legislation on marijuana seems to demonstrate the limits of this sovereignty).