Averroes was a philosopher under which philosophical movements  such as Aristotelianism and the 13th-century philosophical movement  came into play in what other religions beside Islam?
Aristotelianism Aristotelianism ( ) is a tradition of philosophy that takes its defining inspiration from the work of Aristotle. This school of thought is in the modern sense of philosophy, covering existence, ethics, mind and related subjects. In Aristotle's time, philosophy included natural philosophy, which was replaced by modern science during the Scientific Revolution. The works of Aristotle were initially defended by the members of the Peripatetic school and later on by the Neoplatonists, who produced many commentaries on Aristotle's writings. In the Islamic Golden Age, Ibn Sina and Ibn Rushd translated the works of Aristotle into Arabic and under philosophers such as Al-Kindi, Al-Farabi, Avicenna and Averroes, Aristotelianism became a major part of early Islamic philosophy.
Methodic school The Methodic school of medicine ("Methodics", "Methodists", or "Methodici", Greek: Μεθοδικοί ) was an ancient school of medicine in ancient Greece and Rome. The Methodic school arose in reaction to both the Empiric school and the Dogmatic school (sometimes referred to as the Rationalist school). While the exact origins of the Methodic school are shrouded in some controversy, its doctrines are fairly well documented. Sextus Empiricus points to the school's common ground with Pyrrhonism, in that it “follow[s] the appearances and take[s] from these whatever seems expedient.”