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It says, same personality's good enough,
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as long as there's no branching.
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If there is branching,
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neither of the branches is me.
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Now, if we say that,
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if we throw in the no branching clause,
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then we're able to say, look,
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in the original story I was telling,
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where there was the Michigan guy
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who had Napoleon's personality but no New York guy,
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that really would be Napoleon,
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because it would have the same personality with no competitor.