Earlier quoted context omitted.
The Ottoman Empire was the continuation of the Roman Empire, not the end of it. If you were a Greek living in the Byzantine Empire – or as they described themselves, a Roman living in the Roman Empire – the Ottomans were just the new Roman Emperors. The Roman bureaucracy, civil institutions, and daily life changed very little. People don't normally acknowledge it because both the Holy Roman Empire and the Russian Emp…
Surely this is a Ship of Theseus situation, isn't it? There may have been little change from year to year, but a red-blooded Jupiter-Optimus-Maximus-fearing classical Roman citizen transplanted into the future would have been horrified at various moments, first when the Republic became an Empire, again when Christianity took over, when the Empire was split in the Tetrarchy, and when it became apparent that the Greek-…
Except that the Greek-speaking part was as Roman as the Latin-speaking part in culture, heritage, bureaucracy, governance, and self-identity. The later Western European historians' designation of the East as "Byzantine" (read: not "real" Romans) is much motivated by the West Europe's desire to see themselves as intellectual descendants of the Roman Empire (n.b. Italian Renaissance and Classicism).