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The professor used deductive reasoning to explain that if Lucy was lying about the existence of the other world, then it was highly unlikely for her to come up with such a detailed and consistent story. He also pointed out that Lucy was not the type to lie, which further validated her account. By applying logical reasoning and observing Lucy's credibility, the professor convinced Peter and Susan of the truth behind Lucy's experience.

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Q: How did the professors logic solve peter and susan's dilemma about Lucy and her supposed visit to another world beyond the wardrobe?
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