Pangur Bán;13047522 said:No, my statement about the end of the Republic was correct as were my other statements
Alright, source please.
Latin was the Roman Empire's military language in the east as elsewhere, even deep into 'Byzantine' times; .
Latin was phased out by Heraclius as a dead language in favour of Greek in the 7th century. Byzantium persisted for another 800 years, so there's as much Roman imperial history without Latin as there is with it.
Greek was the urban and bureaucratic language in the east
True.
The Byzantine Empire never 'shrunk to include only Greece

Before then, it only included Greece and the overwhelmingly Hellenised parts of Asia Minor. These are now filled with Turks, who were at that time a minor hill tribe in the east. The western seaboard of Anatolia remained culturally and linguistically Greek until the time of the Great War.
Latin was spoken throughout the Balkans, including in most of what is now Greece. It was almost certainly wide-spread in Syria too.
At the usual peril of citing Wiki...
Latin was a minority language in parts of the Balkans, but chiefly on the frontier regions such as Thrace and Dalmatia. It was a major language in parts of Western Europe, such as France, Spain and Italy, which were temporarily under Byzantine control, and those countries now speak Romance languages. A few people, particularly those with dealings with the government, probably spoke Latin across the empire, at least before it was phased out in the 7th century, when Heraclius decided that Greek would be used for all governing and administration - a sign that Latin had become a total relic. Indeed, decrees and messages sent by Roman emperors to Egypt, Judea, Anatolia and the like are in Greek from the time of Nero, if not before, and they never really switch to Latin.
Yet the overwhelming mass of people spoke Koine Greek - the language of the New Testament, used precisely because most of the eastern Mediterranean understood it - or their local language: the 'Roman' east was a diverse place, with languages such as Aramaic or Syriac much more common on the ground than the official tongues. You're right that Latin-derived languages did exist in the Balkans, but these were on the decline almost from the beginning of the Byzantine period, and existed in a swathe from Dalmatia through central Greece into Romania which bypassed the more culturally significant, densely populated areas in Southern Greece and Thrace.
Vlakhs was the name given to the speakers of Latin-derived languages in the east, which for all intents and purposes today means Romanian.
They were relabeled Vlakhs, a borrowing of the Germanic word for 'Roman' via Slavic. Greek-speakers, not Vlakhs, were the Romans ... and even Latin writers of the early Crusading era recognized this by naming Anatolia Romania.
Indeed, because they lived in the Roman Empire. My point is that Greek is a cultural and ethnic label, while Roman is a political one, in this period. In the Classical period, this was not the case; 'Roman' denoted a civis Romanus, but also and primarily a citizen of the City of Rome, and to a lesser extent a Latin. You could thus quite easily be a Roman and a Greek, or a Roman and a Gaul, or just a Roman.