Republic or Democracy?

“This is a republic, not a democracy” – a seeming truism, but actually a false definitional difference. “Republic” and “Democracy” are not antithetical terms.
A Republic is a structure of governance. A Democracy is a system of governance.
Consider the American government as analogous to a desktop PC. The organizational form is the Republic brand of personal computer. Within that, it runs on the Democracy operating system. Neither works without the other.