0
They don't have to accept the term Greek. They are living in Greece, they pay their taxes, the state considers them Greek. A Muslim Greek Minority. Regardless if other Greeks don't consider them Greek or if they do not consider themselves Greek, the Law considers them Greek.
The USA works the same way. If you're Mexican, and you were born in the USA... guess what, you're an American. If you live in the USA and you don't speak English, only Spanish. Guess what... you're still an American.
Bookmarks