Nazi Germany's philosophy was based around the idea of the Third Reich (the Third Rome) which was tightly connected to the idea of Germanic peoples being the highest human race on Earth, which was based on the idea that they were the ones who'd brought the Roman Empire down and thusly inherited all its greatness and have become their only true successor.
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Russkies saying now that THEY are the successors of the Roman's is probably based on their defeat of Germany (for which equally as much credit should be claimed by all other countries of the Allied Forces, really), which is exactly the same thought process as the Nazis used to display, and which is why I keep repeating that Russia Is A Fascist State.
@Vonzales: That should lead to loads of infighting, given the brutally tribalistic infighting between groups that eventually created "Russia".