https://en.wikipedia.org/wiki/Pythagoreanism
as you can see Aristotle and Plato belonged to this belief system
so it wasnt science in the traditional sense it was metaphysical belief system
they didnt use it the way the Arabs used it , they probably could have but they were too busy still searching for meaning in life
the Arabs already HAD meaning in life they had Islam , so they were not searching for purpose and meaning any-more, they were looking at science for its practical benefits and purpose and uses and seeking in knowledge of the world around them in general
in arabia alegrba and math was used for the economy and markets and traders and knowledge in general hence why it was needed and pursued while again the Greeks where looking for metaphysical meaning and purpose and philosophy in their sciences , and not for practical uses BIG DIFFERENCE
as you can see Aristotle and Plato belonged to this belief system
so it wasnt science in the traditional sense it was metaphysical belief system
they didnt use it the way the Arabs used it , they probably could have but they were too busy still searching for meaning in life
the Arabs already HAD meaning in life they had Islam , so they were not searching for purpose and meaning any-more, they were looking at science for its practical benefits and purpose and uses and seeking in knowledge of the world around them in general
in arabia alegrba and math was used for the economy and markets and traders and knowledge in general hence why it was needed and pursued while again the Greeks where looking for metaphysical meaning and purpose and philosophy in their sciences , and not for practical uses BIG DIFFERENCE