кстати о византийской науке
уж не знаю насколько вы знаете английский
http://en.wikipedia.org/wiki/Byzantine_university
After the closing of the Academy in Athens in 529 due to its pagan teachings, and the conquest of Alexandria and Beirut by the Arabs in the mid seventh century, the focus of all higher learning moved to Constantinople.
After the foundation of Constantinople in 330 teachers were drawn to the new city and various steps were taken for official state support and supervision, however nothing lastingly formal in the way of state funded education emerged. However in 425 Theodosius II established a clear distinction between teachers who were private, and those who were public and paid from imperial funds. These official teachers enjoyed privilege and prestige. There were a total of 31 teachers: 10 each for Greek and Latin grammar; 5 for Greek rhetoric; 3 for Latin rhetoric; 2 for law; 1 for philosophy. This system lasted with various degrees of official support until the 7th century.
а вот арабы ваши совсем развитию науки не способствовали
In the 7th and 8th centuries Byzantine life went through a difficult period (sometimes called the Byzantine Dark Age). Continued Arab pressure from the south and the Slavs, Avars and Bulgars to the north led to dramatic economic decline and transformation of Byzantine life.