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Answer: A. the pope had no such authority
Explanation:
During the reign of Charlemagne, the emperor had absolute authority. Charles the Great was the most powerful man of his time. He even claimed the right to interfere in the election of the pope himself. That is why Charlemagne did not need the pope's support to be crowned emperor, the church ceremony was indeed held on Christmas in the year 800, but it was a formal procedure. Charlemagne was the main protector of Catholicism throughout Europe.
You're right! Plato C. thought philosopher-kings should run the government.
In Plato's Republic, Plato argues that the ideal rule is by a philosopher-king who has stepped outside the cave, seen the light and come back to with this understanding to the cave to rule (see Cave metaphor).