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In page Michael Psellos:

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As mentioned above, serious questions were raised during Psellos' lifetime concerning his religious beliefs. For example, according to Byzantinist Anthony Kaldellis, "In 1054 he [Psellos] was accused by his erstwhile friend, the future Patriarch John Xiphilinos, of forsaking Christ to follow Plato."[2] Even stronger doubts arose concerning Psellos' student, John Italos, who succeeded Psellos as Chief of the Philosophers. Italos was publicly accused of teaching such "Hellenizing" ideas as metempsychosis and the eternity of the world. Italos faced such accusations twice, and both times he confessed and recanted.[3]