America is a republic and not a democracy. There are limits on power. The majority doesn't always rule.
This idiotic distinction between "republic" and "democracy" is an exclusively American thing. It also unfortunately shows that you don't know the meaning of the words.
Democracy is when the supreme power of government rests in the hands of the voters alone.
A republic is where the supreme power of government rests in the hands of certain citizens entitled to vote and is exercised by representatives chosen either directly or indirectly by those citizens.
I do know the meaning of the words. There's a pretty fundamental between the two terms. And I assume that the question pertains to the U.S. because this site is centered mostly around American politics and elections.
Just because a good deal of people in the U.S. use the words this way, doesn't mean it's correct or makes any sense.
"Democracy" and "Republican" do not contradict each other. "Democracy" means rule by the people, whether direct or indirect. "Republic" means little more than that the Head of State isn't born into the position, as in a monarchy, for example.
And whether or not term-limits of all things are in place....is really not a product of whether a country is a "democracy", a "republic"....or even, gasp......a democratic republic!
Check your dictionary, man. You have the wrong definitions.
Cambridge online dictionary, republic: a country without a king or queen, usually governed by elected representatives of the people and a president
http://dictionary.cambridge.org/dictionary/british/republic?q=republic
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