When these societies collapsed, they could no longer afford to support science and the arts. Learning and knowledge are ignored when poor nations have to depend upon a hand-to-mouth existence. With the discovery of the New World and its riches, and the huge profits gained from the new trade with the Far East, European nations again became rich, and could afford to support a renewed quest for learning and the arts that brought about the Renaissance. Many Italians did stand out from the crowd, but Catholic countries tended to be held back from scientific investigation by the Church - The last thing they wanted was scientists coming up with something that contradicted ''the word of God'' (as they interpreted it), and their own religious dogmas.
At the same time, the invention of printing meant that people could gain knowledge quickly and cheaply. But a problem arose with Arabic speaking countries. The letter forms of written Arabic change according to the adjoining letters. This made printing in Arabic such a complicated effort that they decided, to their detriment, to give it up altogether.
So, in general, it was the Protestant countries of northern Europe that had the means and the will to stride ahead.