Arab philosophers tried to harmonize Greek ideas with religious beliefs
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socrates (: - LaPorchea Dnyghi .
Europeans rediscovered the ideas of the ancient Greeks after 1500.
Greeks are Pagan then philosophers and scientist reasonable idea have threat for changing ages. Instead of attributing the world's creation to anthropomorphic gods, they sought rational explanations.
There is no single answer here. There are many Greek philosophers and many philosophical systems they believed in. Plato, Aristotle, Socrates, Heracletus are just some of them and one should know that each had his own view of the world. You should refer to specific questions on each one of them in WikiAnswers.
Greek philosophy spread after being conquered by the Romans, and then the Romans spread the "improved" Greek ideas around their territory. Sometimes Roman philosophers agreed with the Greeks thoughts, and sometimes they highly disagreed.