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those in power to know what is
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really and truly in their interest
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People make mistakes
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and it is very possible to make a mistake about
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your own interests.
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And of course, Thrasymachus has to acknowledge this,
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of course the rulers make mistakes,
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and he tries to invent an argument
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that if a ruler makes a mistake,
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he's not really a true ruler.
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The true ruler is the person
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who both acts on his own interest and of