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The Muses began their long career as vague minor spirits whom old Greek poets such as Hesiod invoked for inspiration. But when mythology fell into the hands of the learned, the Muses became fixed in number (nine) and they acquired individuality, with personal names and specialized spheres of activity. The Hellenistic and late Roman pedants did not altogether agree on the details but they were in full accord over which activities were appropriate to inspiration—poetry, music, the dance, historiography, and, for Urania, astronomy (really mathematics).
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